Internet Engineering Task Force (IETF) L. Thomas
Request for Comments: 9034 C-DAC
Category: Standards Track S. Anamalamudi
ISSN: 2070-1721 SRM University-AP
S.V.R. Anand
M. Hegde
Indian Institute of Science
C. Perkins
Futurewei
May
Lupin Lodge
June 2021
Packet Delivery Deadline Time in the Routing Header for IPv6 over Low-
Power Wireless Personal Area Networks (6LoWPANs)
Abstract
This document specifies a new Type type for the Elective 6LoWPAN Routing
Header (6LoRHE) that contains routing header
containing the deadline time for data packets and
is packets, designed for use over
constrained networks. The deadline time enables forwarding and
scheduling decisions for time-critical
Internet of Things (IoT) machine-to-machine (M2M)
applications running on Internet-enabled devices that operate within
time-synchronized networks that agree on the meaning
of the time representations used networks. This document also specifies a
representation for the deadline time values. values in such networks.
Status of This Memo
This is an Internet Standards Track document.
This document is a product of the Internet Engineering Task Force
(IETF). It represents the consensus of the IETF community. It has
received public review and has been approved for publication by the
Internet Engineering Steering Group (IESG). Further information on
Internet Standards is available in Section 2 of RFC 7841.
Information about the current status of this document, any errata,
and how to provide feedback on it may be obtained at
https://www.rfc-editor.org/info/rfc9034.
Copyright Notice
Copyright (c) 2021 IETF Trust and the persons identified as the
document authors. All rights reserved.
This document is subject to BCP 78 and the IETF Trust's Legal
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the Trust Legal Provisions and are provided without warranty as
described in the Simplified BSD License.
Table of Contents
1. Introduction
2. Terminology
3. 6LoRHE Generic Format
4. Deadline-6LoRHE
5. Deadline-6LoRHE Format
6. Deadline-6LoRHE in Three Network Scenarios
6.1. Scenario 1: Endpoints in the Same DODAG (N1)
6.2. Scenario 2: Endpoints in Networks with Dissimilar Layer 2 L2
Technologies
6.3. Scenario 3: Packet Transmission across Different DODAGs (N1
to N2)
7. IANA Considerations
8. Synchronization Aspects
9. Security Considerations
10. References
10.1. Normative References
10.2. Informative References
Appendix A. Modular Arithmetic Considerations
Acknowledgments
Authors' Addresses
1. Introduction
Low-power
Low-Power and Lossy Networks (LLNs) are likely to be deployed for
real-time industrial applications requiring end-to-end delay
guarantees [RFC8578]. A Deterministic Network ("DetNet") typically
requires some data packets to reach their receivers within strict
time bounds. Intermediate nodes use the deadline information to make
appropriate packet forwarding and scheduling decisions to meet the
time bounds.
This document specifies a new Type type for the Elective 6LoWPAN Routing
Header (6LoRHE), Deadline-6LoRHE, so that the deadline time (i.e.,
the time of latest acceptable delivery) of data packets can be
included within the 6LoRHE. [RFC8138] specifies the 6LoWPAN Routing
Header (6LoRH), compression schemes for RPL (Routing Protocol for
Low-Power and Lossy Networks) source routing (source routing) operation [RFC6554], header
compression of RPL packet information [RFC6553], and IP-in-IP
encapsulation. This document also specifies the handling of the
deadline time when packets traverse time-synchronized networks
operating in different time zones or distinct reference clocks.
Time-synchronization techniques are outside the scope of this
document. There are a number of standards available for this
purpose, including IEEE 1588 [IEEE.1588.2008], IEEE 802.1AS
[IEEE.802.1AS.2011], IEEE 802.15.4-2015 Time-Slotted Channel Hopping
(TSCH) [IEEE.802.15.4], and more.
The Deadline-6LoRHE can be used in any time-synchronized 6lo (IPv6
over Networks of Resource-constrained Nodes) 6LoWPAN
network. A 6TiSCH (IPv6 over the TSCH mode of IEEE 802.15.4) network
is used to describe the implementation of the Deadline-6LoRHE, but
this does not preclude its use in scenarios other than 6TiSCH. For
instance, there is a growing interest in using 6lo 6LoWPAN over a
Bluetooth Low Energy (BLE) mesh network [6LO-BLEMESH] in industrial
IoT (Internet of Things) [IEEE-BLE-MESH]. BLE mesh time
synchronization is being explored by the Bluetooth community. There
are also cases under consideration in Wi-SUN [PHY-SPEC] [Wi-SUN].
2. Terminology
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
"SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and
"OPTIONAL" in this document are to be interpreted as described in
BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all
capitals, as shown here.
This document uses the terminology defined in [RFC6550] and
[RFC9030].
3. 6LoRHE Generic Format
Note: this section is not normative and is included for convenience.
The generic header format of the 6LoRHE is specified in [RFC8138].
Figure 1 illustrates the 6LoRHE generic format.
0 1
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+- ... -+
|1|0|1| Length | Type | Options |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+- ... -+
<--- length --->
Figure 1: 6LoRHE Format
Length: Length of the 6LoRHE expressed in bytes, excluding the first
2 bytes. This enables a node to skip a 6LoRHE if the Type is not
recognized or supported.
Type (variable length): Type of the 6LoRHE (see Section 7).
4. Deadline-6LoRHE
The Deadline-6LoRHE (see Figure 3) is a 6LoRHE [RFC8138] that
provides the Deadline Time (DT) for an IPv6 datagram in a compressed
form. Along with the DT, the header can include the Origination Time
Delta (OTD) packet, which contains the time when the packet was
enqueued for transmission (expressed as a value to be subtracted from
DT); this enables a close estimate of the total delay incurred by a
packet. The OTD field is initialized by the sender based on the
current time at the outgoing network interface through which the
packet is forwarded. Since the OTD is a delta, the length of the OTD
field (i.e., OTL) will require fewer bits than the length of the DT
field (i.e., DTL).
The DT field contains the value of the deadline time for the packet
-- in other words, the time by which the application expects the
packet to be delivered to the receiver.
packet_deadline_time = packet_origination_time + max_delay
In order to support delay-sensitive, deterministic applications, all
nodes within the network should process the Deadline-6LoRHE. The DT
and OTD packets are represented in time units determined by a scaling
parameter in the Routing Header. The Network ASN (Absolute Slot
Number) can be used as a time unit in a time-slotted synchronized
network (for instance, a 6TiSCH network, where global time is
maintained in the units of slot lengths of a certain resolution).
The delay experienced by packets in the network is a useful metric
for network diagnostics and performance monitoring. Whenever a
packet crosses into a network using a different reference clock, the
DT field is updated to represent the same destination deadline time, but
expressed using the reference clock of the interface into the new
network. Then the origination time is the same as the current time
when the packet is transmitted into the new network, minus the delay
already experienced by the packet, say 'current_dly'. In this way,
within the newly entered network, the packet will appear to have
originated 'current_dly' time units earlier with respect to the
reference clock of the new network.
new_network_origin_time = time_now_in_new_network - current_dly
The following example illustrates these calculations when a packet
travels between three networks, each in a different time zone (TZ).
'x' can be 1, 2, or 3. Suppose that the deadline time as measured in
TZ1 is 1050, and the origination time is 50. Suppose that the
difference between TZ2 and TZ1 is 900, and the difference between TZ2
and TZ3 is 3600. In the figure, OT is the origination time as
measured in the current time zone, and is equal to DT - OTD, that is,
DT - 1000. Figure 2 uses the following abbreviations:
TxA: Time of arrival of packet in the network 'x'
TxD: Departure time of packet from the network 'x'
dlyx: Delay experienced by the packet in the previous network(s)
TZx: The time zone of network 'x'
TZ1 TZ2 TZ3
T1A=50| | |
|---- dly1=50 | |
| \ | |
| \ | |
| \ T1D=100 |T2A=1000 |
| -------->|----- dly2=450 |
| | \ |
| | \ |
| | \ T2D=1400 | T3A=5000
| | ------------------->|---------->
| | |
v v v
dly0 = 0 dly1 = T1D-OT1 dly2 = T2D-OT2
= 100-50 = 1400 - 950
= 50 = 450
OT1 = T1A-dly0 OT2 = T2A-dly1 OT3 = T3A-dly2
= 50 = 1000-50 = 5000 - 450
= 950 = 4550
Figure 2: Destination Deadline Time Update Example
There are multiple ways that a packet can be delayed, including
queuing delay, Media Access Control (MAC) layer contention delay,
serialization delay, and propagation delay. Sometimes there are
processing delays as well. For the purpose of determining whether or
not the deadline has already passed, these various delays are not
distinguished.
5. Deadline-6LoRHE Format
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|1|0|1| Length | 6LoRH Type |D| TU| DTL | OTL | BinaryPt |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| DT (variable length) | OTD(variable length)(optional)|
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Figure 3: Deadline-6LoRHE Format
Length (5 bits): Length represents the total length of the Deadline-
6LoRHE Type measured in octets.
6LoRH Type: 7 (See Section 7.)
D flag (1 bit): The 'D' flag, set by the sender, qualifies the
action to be taken when a 6LoWPAN Router (6LR) detects that the
deadline time has elapsed.
If 'D' bit is 1, then the 6LR MUST drop the packet if the deadline
time is elapsed.
If 'D' bit is 0, the packet MAY be forwarded on an exception
basis, if the forwarding node is NOT in a situation of constrained
resource, and if there are reasons to suspect that downstream
nodes might find it useful (delay measurements, interpolations,
etc.).
TU (2 bits): Indicates the time units for DT and OTD fields. The
encodings for the DT and OTD fields use the same time units and
precision.
00 Time represented in seconds and fractional seconds
01 Reserved
10 Network ASN
11 Reserved
DTL (4 bits): Length of the DT field as an unsigned 4-bit integer,
encoding the length of the field in hex digits, minus one.
OTL (3 bits): Length of the OTD field as an unsigned 3-bit integer,
encoding the length of the field in hex digits. If OTL == 0, the
OTD field is not present. The value of OTL MUST NOT exceed the
value of DTL plus one.
For example, DTL = 0b0000 means the DT field in the 6LoRHE is 1
hex digit (4 bits) long. OTL = 0b111 means the OTD field is 7 hex
digits (28 bits) long.
BinaryPt (6 bits): If zero, the number of bits of the integer part
the DT is equal to the number of bits of the fractional part of
the DT. If nonzero, the BinaryPt is a (2's complement) signed
integer determining the position of the binary point within the
value for the DT: DT. This allows BinaryPt to be within the range
[-32,31].
* If BinaryPt value is positive, then the number of bits for the
integer part of the DT is increased by the value of BinaryPt,
and the number of bits for the fractional part of the DT is
correspondingly reduced. This increases the range of DT.
* If BinaryPt value is negative, then the number of bits for the
integer part of the DT is decreased by the value of BinaryPt,
and the number of bits for the fractional part of the DT is
correspondingly increased. This increases the precision of the
fractional seconds part of DT.
DT Value (8..64 (4..64 bits): An unsigned integer of DTL+1 hex digits
giving the deadline time DT value.
OTD Value (4..28 bits): An If present, an unsigned integer of OTL hex
digits giving the Origination Time origination time as a negative offset from the
DT value.
Whenever a sender initiates the IP datagram, it includes the
Deadline-6LoRHE along with other 6LoRH information. For information
about the time-synchronization requirements between sender and
receiver, see Section 8.
For the chosen time unit, a compressed time representation is
available as follows. First, the application on the originating node
determines how many time bits are needed to represent the difference
between the time at which the packet is launched and the deadline
time, including the representation of fractional time units. That
number of bits (say, N_bits) determines DTL as follows:
DTL = ((N_bits - 1) / 4)
The number of bits determined by DTL allows the counting of any
number of fractional time units in the range of interest determined
by DT and the OT. Denote this number of fractional time units to be
Epoch_Range(DTL) (i.e., Epoch_Range is a function of DTL):
Epoch_Range(DTL) = 2^(4*(DTL+1))
Each point of time between OT and DT is represented by a time unit
and a fractional time unit; in this section, this combined
representation is called a rational time unit (RTU). 1 RTU measures
the smallest fractional time that can be represented between two
points of time in the epoch (i.e., within the range of interest).
DT - OT cannot exceed 2^(4*(DTL+1)) == 16^(DTL+1). A low value of
DTL leads to a small Epoch_Range; if DTL = 0, there will only be 16
RTUs within the Epoch_Range (i.e., Epoch_Range(DTL) = 16^1) for any
TU. The values that can be represented in the current epoch are in
the range [0, (Epoch_Range(DTL) - 1)].
Assuming wraparound does not occur, OT is represented by the value
(OT mod Epoch_Range), and DT is represented by the value (DT mod
Epoch_Range). All arithmetic is to be performed modulo
(Epoch_Range(DTL)), yielding only positive values for DT - OT.
Example: Consider a 6TiSCH network with time-slot length of 10 ms.
Let
In order to allow fine-grained control over the time units be ASNs (TU == (binary)0b10). Let setting of the current
ASN when
deadline time, the packet fields for DT and OTD use fractional seconds.
This is originated done by specifying a binary point, which allocates some of
the bits for fractional times. Thus, all such fractions are
restricted to be 54400, negative powers of 2. Each point of time between OT
and DT is then represented by a time unit (either seconds or ASNs)
and a fractional time unit.
Let OT_abs, DT_abs, and CT_abs denote the maximum
allowable delay (max_delay) true (absolute) values (on
the synchronized timelines) for OT, DT, and current time. Let N be
the packet delivery number of bits to be 1 second
from used to represent the packet origination, then:
deadline_time = packet_origination_time + max_delay integer parts of
OT_abs, DT_abs, and CT_abs:
N = 0xD480 {4*(DTL+1)/2} + 0x64 (Network ASNs)
= 0xD4E4 (Network ASNs)
Then, the Deadline-6LoRHE encoding with nonzero OTL is:
DTL = 3, OTL = 2, TU = 0b10, BinaryPt = 8, DT = 0xD4E4,
OTD = 0x64
6. Deadline-6LoRHE in Three Network Scenarios
In this section, the Deadline-6LoRHE operation is described for three
network scenarios. Figure 4 depicts
The originating node has to pick a constrained time-synchronized
LLN segment size (2^N) so that has two subnets, N1 and N2, connected through 6LowPAN Border
Routers (6LBRs) [RFC8929] with different reference clock times, T1 DT_abs
- OT_abs < 2^N, and T2.
+-------------------+
| Time-Synchronized |
| Network |
+---------+---------+
|
|
|
+--------------+--------------+
| |
+-----+ +-----+
| | Backbone | | Backbone
o | | router | | router
+-----+ +-----+
o o o
o o o o o o o o o
o LLN o o LLN o o
o o o o o o o o o
6LoWPAN Network (subnet N1) 6LoWPAN Network (subnet N2)
Figure 4: Intra-Network Time Zone Scenario
6.1. Scenario 1: Endpoints in so that intermediate network nodes can detect
whether or not CT_abs > DT_abs.
Given a value for N, the Same DODAG (N1)
In Scenario 1, shown value for DT is represented in Figure 5, the Sender 'S' has an IP datagram
to be routed to deadline-
time format by DT = (DT_abs mod 2^N). DT is typically represented as
a Receiver 'R' within the same Destination-Oriented
Directed Acyclic Graph (DODAG). For the route segment from the
sender to the 6LBR, positive value (even though negative modular values make sense).
Also, let OT = OT_abs mod 2^N and CT = CT_abs mod 2^N, where both OT
and CT are also considered as non-negative values.
When the sender includes a Deadline-6LoRHE packet is launched by encoding the deadline time contained originating node, CT_abs == OT_abs
and CT == OT. Given a particular value for N, then in the packet. Subsequently, each 6LR
will perform hop-by-hop routing order for
downstream nodes to forward the packet towards the
6LBR. Once the 6LBR receives detect whether or not the IP datagram, it sends deadline has expired
(i.e., whether DT_abs > CT_abs), the packet
downstream towards 'R'.
In following is required:
Assumption 1: DT_abs - OT_abs < 2^N.
Otherwise the case of a network running ambiguity inherent in RPL non-storing mode, the 6LBR
generates an IPv6-in-IPv6 encapsulated packet when sending the packet
downwards to the receiver [RFC9008]. The 6LBR copies the Deadline-
6LoRHE from the sender-originated IP header to the outer IP header.
The Deadline-6LoRHE contained modulus arithmetic yielding
OT and DT will cause failure: one cannot measure time differences
greater than 2^N using numbers in the inner IP header a time segment of length less than
2^N.
Under Assumption 1, downstream nodes must effectively check whether
or not their current time is removed.
+-------+
^ | 6LBR | |
| | | |
| +-------+ |
Upward | / /| \ | Downward
routing | (F) / | \ | routing
| / \ (C) | (D) |
| / \ | | / |\ |
| (A) (B) : (E) : R |
| /|\ | \ / \ |
| S : : : : : : v
Figure 5: Endpoints within later than the Same DODAG (Subnet N1)
At DT -- but the tunnel endpoint value of
the encapsulation, the Deadline-6LoRHE is
copied back DT has to be inferred from the outer header to inner header, and value of DT in the inner IP
packet 6LoRHE, which
is delivered a number less than 2^N. This inference cannot be expected to 'R'.
6.2. Scenario 2: Endpoints in Networks with Dissimilar Layer 2
Technologies
In Scenario 2, shown in Figure 6,
reliably succeed unless Assumption 1 is valid, which means that the Sender 'S' (belonging to DODAG
1)
originating node has an IP datagram to be routed careful to a Receiver 'R' over a time-
synchronized IPv6 network. For pick proper values for DTL and
for BinaryPt.
Since OT is not necessarily provided in the route segment from 'S' to 6LBR,
'S' includes 6loRHE, there may be a Deadline-6LoRHE. Subsequently, each 6LR will perform
hop-by-hop routing to forward the packet towards the 6LBR. Once
danger of ambiguity. Surely, when DT = CT, the deadline time information reaches the 6LBR, is
expiring and the packet will be
encoded according to the mechanism prescribed in the other time-
synchronized network depicted as "Time-Synchronized Network" in
Figure 6. The specific data encapsulation mechanisms followed in the
new network are beyond the scope of this document.
+----------------+
| Time- |
| Synchronized |------R
| Network |
+----------------+
|
|
----------+-----------
^ |
| +---+---+
| | 6LBR |
Upward | | |
routing | +------++
| (F)/ /| \
| / \ / | \
| / \ (C) | (D)
| (A) (B) | | / |\
| /|\ |\ : (E) : :
| S : : : : / \
: :
Figure 6: Packet Transmission in Dissimilar Layer 2 Technologies
or Internet
For instance, the IP datagram could should be routed to another time-
synchronized, deterministic network using the mechanism specified in
In-situ Operations, Administration, and Maintenance (IOAM)
[IOAM-DATA], and then dropped. However, what if an
intermediate node measures that CT = DT+1? Was the deadline packet launched a
short time would be updated according to before arrival at the measurement of intermediate node, or has the
current time in the new network.
6.3. Scenario 3: Packet Transmission across Different DODAGs (N1 to N2)
Consider the scenario depicted in Figure 7, in which the Sender 'S'
(belonging wrapped around so that CT_abs - OT_abs > 2^N?
In order to DODAG 1) solve this problem, a safety margin has an IP datagram to be sent to Receiver 'R'
belonging provided,
in addition to another DODAG (DODAG 2). requiring that DT_abs - OT_abs < 2^N. The operation value of
this scenario
can be decomposed into a combination of Scenarios 1 safety margin is proportional to 2^N and 2. For the
route segment from 'S' to 6LBR1, 'S' includes is determined by a new
parameter, called the Deadline-6LoRHE.
Subsequently, each 6LR will perform hop-by-hop operations to forward "SAFETY_FACTOR". Then, for safety the
originating node MUST further ensure that (DT_abs - OT_abs) <
2^N*(1-SAFETY_FACTOR).
Each intermediate node that receives the packet towards 6LBR1. Once with the IP datagram reaches 6LBR1 of
DODAG1, 6LBR1 applies Deadline-
6LoRHE must determine whether ((CT - DT) mod 2^N) >
SAFETY_FACTOR*2^N. If this test condition is not satisfied, the same rule as described in Scenario 2 while
routing
deadline time has expired. See Appendix A for more explanation about
the test condition. All nodes that receive a packet to 6LBR2 over with a (likely) time-synchronized wired
backhaul. The wired side of 6LBR2 can be mapped to Deadline-
6LoRHE included MUST use the receiver of
Scenario 2. Once same value for the SAFETY_FACTOR. The
SAFETY_FACTOR is to be chosen so that a packet reaches 6LBR2, it updates with the Deadline-
6LoRHE by adding or subtracting included will be tested against the difference of current time at least once
during every subinterval of DODAG2 and
sends length SAFETY_FACTOR*2^N. In this way,
it can be guaranteed that the packet downstream towards 'R'.
Time-Synchronized Network
-+---------------------------+-
| |
DODAG1 +---+---+ +---+---+ DODAG2
| 6LBR1 | | 6LBR2 |
| | | |
+-------+ +-------+
(F)/ /| \ (F)/ /| \
/ \ / | \ / \ / | \
/ \ (C) | (D) / \ (C) | (D)
(A) (B) | | / |\ (A) (B) | | |\
/|\ |\ : (E) : : /|\ |\ : (E) : :
S : : : : / \ : : : : : / \
: : : R
Network N1, time zone T1 Network N2, time zone T2
Figure 7: Packet Transmission in Different DODAGs (N1 will be tested often enough to N2)
Consider an example
make sure it can be dropped whenever CT_abs > DT_abs. The value of a 6TiSCH network in which S
SAFETY_FACTOR is specified in DODAG1
generates the packet at ASN 20000 this document to R in DODAG2. Let the maximum
allowable delay be 1 second. The 20%.
Example: Consider a 6TiSCH network with time-slot length in DODAG1 and
DODAG2 is assumed to be of 10 ms. Once
Let the deadline time is encoded in
Deadline-6LoRHE, units be ASNs (TU == (binary)0b10). Let the current
ASN when the packet is forwarded to 6LBR1 of DODAG1. Suppose originated be 54400, and the maximum
allowable delay (max_delay) for the packet reaches 6LBR1 of DODAG1 at ASN 20030.
current_time = ASN at 6LBR * slot_length_value
remaining_time = delivery be 1 second
from the packet origination, then:
deadline_time - current_time = ((packet_origination_time packet_origination_time + max_delay) - current time) max_delay
= (20000 0xD480 + 100) - 20030
= 30 (in Network 0x64 (Network ASNs)
= 30 * 10^3 milliseconds
Once the deadline time information reaches 6LBR2, the packet will be
encoded according to 0xD4E4 (Network ASNs)
Then, the mechanism prescribed Deadline-6LoRHE encoding with nonzero OTL is:
DTL = 3, OTL = 2, TU = 0b10, BinaryPt = 8, DT = 0xD4E4,
OTD = 0x64
6. Deadline-6LoRHE in Three Network Scenarios
In this section, the other time-
synchronized network.
7. IANA Considerations
This document defines Deadline-6LoRHE operation is described for three
network scenarios. Figure 4 depicts a new Elective 6LoWPAN Routing Header Type, and
IANA constrained time-synchronized
LLN that has assigned the value 7 from the two subnets, N1 and N2, connected through 6LoWPAN Dispatch Page 1 number
space for this purpose.
+=======+=================+===========+ Border
Routers (6LBRs) [RFC8929] with different reference clock times, T1
and T2.
+-------------------+
| Value Time-Synchronized | Description
| Reference Network |
+=======+=================+===========+
+---------+---------+
| 7
| Deadline-6LoRHE
| RFC 9034
+--------------+--------------+
|
+-------+-----------------+-----------+
Table |
+-----+ +-----+
| | Backbone | | Backbone
o | | router | | router
+-----+ +-----+
o o o
o o o o o o o o o
o LLN o o LLN o o
o o o o o o o o o
6LoWPAN Network (subnet N1) 6LoWPAN Network (subnet N2)
Figure 4: Intra-Network Time Zone Scenario
6.1. Scenario 1: Entry Endpoints in the Elective
6LoWPAN Routing Header Type
Registry
8. Synchronization Aspects
The document supports time representation of the deadline and
origination times carried Same DODAG (N1)
In Scenario 1, shown in Figure 5, the packets traversing networks of
different time zones having different time-synchronization
mechanisms. For instance, in Sender 'S' has an IP datagram
to be routed to a 6TiSCH network where the time is
maintained as ASN time slots, the time synchronization is achieved
through beaconing among Receiver 'R' within the nodes as described in [RFC7554]. There
could be 6lo networks that employ NTP where same Destination-Oriented
Directed Acyclic Graph (DODAG). For the nodes are
synchronized with an external reference clock route segment from an NTP server.
The specification of the time-synchronization method that needs
sender to be
followed by the 6LBR, the sender includes a network is beyond Deadline-6LoRHE by encoding
the scope of deadline time contained in the document.
The number of hex digits chosen packet. Subsequently, each 6LR
will perform hop-by-hop routing to represent DT, and forward the portion of
that field allocated to represent packet towards the integer number of seconds,
determines
6LBR. Once the meaning of t_0, i.e., 6LBR receives the meaning of DT == 0 in IP datagram, it sends the
chosen representation. If DTL == 0, then there are only 4 bits that
can be used to count packet
downstream towards 'R'.
In the time units, so that DT == 0 can never be
more than 16 time units (or fractional time units) case of a network running in RPL non-storing mode, the past. This
then requires that 6LBR
generates an IPv6-in-IPv6 encapsulated packet when sending the time synchronization between sender and
receiver has packet
downwards to be tighter than 16 units. If the binary point were
moved so that all receiver [RFC9008]. The 6LBR copies the bits were used for fractional time units (e.g.,
fractional seconds or fractional ASNs), Deadline-
6LoRHE from the time-synchronization
requirement would be correspondingly tighter.
A 4-bit field for DT allows up to 16 hex digits, which is 64 bits.
That is enough sender-originated IP header to represent the NTP 64-bit timestamp format
[RFC5905], which outer IP header.
The Deadline-6LoRHE contained in the inner IP header is more than enough for removed.
+-------+
^ | 6LBR | |
| | | |
| +-------+ |
Upward | / /| \ | Downward
routing | (F) / | \ | routing
| / \ (C) | (D) |
| / \ | | / |\ |
| (A) (B) : (E) : R |
| /|\ | \ / \ |
| S : : : : : : v
Figure 5: Endpoints within the purposes Same DODAG (Subnet N1)
At the tunnel endpoint of establishing
deadline times. Unless the binary point encapsulation, the Deadline-6LoRHE is moved, this is enough to
represent time since year 1900.
For example, suppose that DTL = 0b0000 and
copied back from the DT bits are split
evenly; then we can count up outer header to 3.75 seconds by quarter-seconds.
If DTL = 3 inner header, and the DT bits are again split evenly, then we can count
up inner IP
packet is delivered to 256 seconds (in steps of 1/256 of a second). 'R'.
6.2. Scenario 2: Endpoints in Networks with Dissimilar L2 Technologies
In all cases, t_0 is defined as specified Scenario 2, shown in Section 5.
t_0 = [current_time - (current_time mod (2^(4*(DTL+1))))]
regardless of Figure 6, the choice of TU. Sender 'S' (belonging to DODAG
1) has an IP datagram to be routed to a Receiver 'R' over a time-
synchronized IPv6 network. For TU = 0b00, the time units are seconds. With DTL == 15, and
BinaryPt == 0, route segment from 'S' to 6LBR,
'S' includes a Deadline-6LoRHE. Subsequently, each 6LR will perform
hop-by-hop routing to forward the epoch is (by default) January 1, 1900, at 00:00
UTC. The resolution is then 2^-32 seconds, which is packet towards the maximum
possible. This time format wraps around every 2^32 seconds, which is
roughly 136 years.
For TU = 0b10, 6LBR. Once the
deadline time units are ASNs. The start time is relative,
and updated by a mechanism that is out of scope for this document.
With 10 ms slots, DTL = 15, and BinaryPt == 0, it would take over a
year for information reaches the ASN 6LBR, the packet will be
encoded according to wrap around. Typically, the number of hex digits
allocated for TU = 0b10 would be less than 15.
9. Security Considerations
The security considerations of [RFC4944] (Section 13), [RFC6282]
(Section 6), and [RFC6553] (Section 5) apply. Using a compressed
format as opposed to mechanism prescribed in the full inline format is logically equivalent
and does not create an opening for a new threat when compared to
[RFC6550], [RFC6553], and [RFC6554]. other time-
synchronized network depicted as "Time-Synchronized Network" in
Figure 6. The protocol elements specified specific data encapsulation mechanisms followed in this document the
new network are designed to work
in controlled operational environments (e.g., industrial process
control and automation). In order to avoid misuse beyond the scope of this document.
+----------------+
| Time- |
| Synchronized |------R
| Network |
+----------------+
|
|
----------+-----------
^ |
| +---+---+
| | 6LBR |
Upward | | |
routing | +------++
| (F)/ /| \
| / \ / | \
| / \ (C) | (D)
| (A) (B) | | / |\
| /|\ |\ : (E) : :
| S : : : : / \
: :
Figure 6: Packet Transmission in Dissimilar L2 Technologies or
Internet
For instance, the deadline
information that IP datagram could potentially result be routed to another time-
synchronized, deterministic network using the mechanism specified in a Denial of Service
(DoS) attack, proper functioning of this
In-situ Operations, Administration, and Maintenance (IOAM)
[IOAM-DATA], and then the deadline time mechanism
requires would be updated according to
the provisioning and management measurement of network resources for
supporting traffic flows with deadlines, performance monitoring, and
admission control policy enforcement. The network provisioning can
be done either centrally or the current time in a distributed fashion. For example,
tracks the new network.
6.3. Scenario 3: Packet Transmission across Different DODAGs (N1 to N2)
Consider the scenario depicted in a 6TiSCH network could be established by a centralized Path
Computation Element (PCE), as described Figure 7, in which the 6TiSCH architecture
[RFC9030]. Sender 'S'
(belonging to DODAG 1) has an IP datagram to be sent to Receiver 'R'
belonging to another DODAG (DODAG 2). The security considerations operation of DetNet architecture [RFC8655]
(Section 5) mostly apply to this document as well, as follows. To
secure the request and control of resources allocated for tracks,
authentication and authorization scenario
can be used for each device decomposed into a combination of Scenarios 1 and
network controller devices. In 2. For the case of distributed control
protocols, security is expected
route segment from 'S' to be provided by 6LBR1, 'S' includes the security
properties Deadline-6LoRHE.
Subsequently, each 6LR will perform hop-by-hop operations to forward
the packet towards 6LBR1. Once the IP datagram reaches 6LBR1 of
DODAG1, 6LBR1 applies the protocols same rule as described in use.
When deadline-bearing flows are identified on a per-flow basis, which
may provide attackers with additional information about Scenario 2 while
routing the data
flows, when compared packet to networks that do not include per-flow
identification. 6LBR2 over a (likely) time-synchronized wired
backhaul. The security implications wired side of disclosing that
additional information deserve consideration when implementing this
deadline specification.
Because 6LBR2 can be mapped to the receiver of
Scenario 2. Once the requirement packet reaches 6LBR2, it updates the Deadline-
6LoRHE by adding or subtracting the difference of precise time synchronization, the
accuracy, availability, and integrity of DODAG2 and
sends the packet downstream towards 'R'.
Time-Synchronized Network
-+---------------------------+-
| |
DODAG1 +---+---+ +---+---+ DODAG2
| 6LBR1 | | 6LBR2 |
| | | |
+-------+ +-------+
(F)/ /| \ (F)/ /| \
/ \ / | \ / \ / | \
/ \ (C) | (D) / \ (C) | (D)
(A) (B) | | / |\ (A) (B) | | |\
/|\ |\ : (E) : : /|\ |\ : (E) : :
S : : : : / \ : : : : : / \
: : : R
Network N1, time synchronization is of
critical importance. Extensive discussion zone T1 Network N2, time zone T2
Figure 7: Packet Transmission in Different DODAGs (N1 to N2)
Consider an example of this topic can be found a 6TiSCH network in [RFC7384].
10. References
10.1. Normative References
[RFC2119] Bradner, S., "Key words for use which S in RFCs DODAG1
generates the packet at ASN 20000 to Indicate
Requirement Levels", BCP 14, RFC 2119,
DOI 10.17487/RFC2119, March 1997,
<https://www.rfc-editor.org/info/rfc2119>.
[RFC4944] Montenegro, G., Kushalnagar, N., Hui, J., R in DODAG2. Let the maximum
allowable delay be 1 second. The time-slot length in DODAG1 and D. Culler,
"Transmission
DODAG2 is assumed to be 10 ms. Once the deadline time is encoded in
Deadline-6LoRHE, the packet is forwarded to 6LBR1 of IPv6 Packets over IEEE 802.15.4
Networks", RFC 4944, DOI 10.17487/RFC4944, September 2007,
<https://www.rfc-editor.org/info/rfc4944>.
[RFC5905] Mills, D., Martin, J., Ed., Burbank, J., and W. Kasch,
"Network Time Protocol Version 4: Protocol and Algorithms
Specification", RFC 5905, DOI 10.17487/RFC5905, June 2010,
<https://www.rfc-editor.org/info/rfc5905>.
[RFC6282] Hui, J., Ed. and P. Thubert, "Compression Format for IPv6
Datagrams over IEEE 802.15.4-Based Networks", RFC 6282,
DOI 10.17487/RFC6282, September 2011,
<https://www.rfc-editor.org/info/rfc6282>.
[RFC6550] Winter, T., Ed., Thubert, P., Ed., Brandt, A., Hui, J.,
Kelsey, R., Levis, P., Pister, K., Struik, R., Vasseur,
JP., and R. Alexander, "RPL: IPv6 Routing Protocol for
Low-Power and Lossy Networks", RFC 6550,
DOI 10.17487/RFC6550, March 2012,
<https://www.rfc-editor.org/info/rfc6550>.
[RFC6553] Hui, J. and JP. Vasseur, "The DODAG1. Suppose
the packet reaches 6LBR1 of DODAG1 at ASN 20030.
current_time = ASN at 6LBR * slot_length_value
remaining_time = deadline_time - current_time
= ((packet_origination_time + max_delay) - current time)
= (20000 + 100) - 20030
= 30 (in Network ASNs)
= 30 * 10^3 milliseconds
Once the deadline time information reaches 6LBR2, the packet will be
encoded according to the mechanism prescribed in the other time-
synchronized network.
7. IANA Considerations
This document defines a new Elective 6LoWPAN Routing Protocol for Low-
Power Header Type, and Lossy Networks (RPL) Option
IANA has assigned the value 7 from the 6LoWPAN Dispatch Page 1 number
space for Carrying RPL
Information in Data-Plane Datagrams", this purpose.
+=======+=================+===========+
| Value | Description | Reference |
+=======+=================+===========+
| 7 | Deadline-6LoRHE | RFC 6553,
DOI 10.17487/RFC6553, March 2012,
<https://www.rfc-editor.org/info/rfc6553>.
[RFC6554] Hui, J., Vasseur, JP., Culler, D., and V. Manral, "An IPv6 9034 |
+-------+-----------------+-----------+
Table 1: Entry in the "Elective
6LoWPAN Routing Header for Source Routes with Type"
Registry
8. Synchronization Aspects
The document supports time representation of the Routing Protocol
for Low-Power deadline and Lossy Networks (RPL)", RFC 6554,
DOI 10.17487/RFC6554, March 2012,
<https://www.rfc-editor.org/info/rfc6554>.
[RFC7384] Mizrahi, T., "Security Requirements
origination times carried in the packets traversing networks of Time Protocols
different time zones having different time-synchronization
mechanisms. For instance, in
Packet Switched Networks", RFC 7384, DOI 10.17487/RFC7384,
October 2014, <https://www.rfc-editor.org/info/rfc7384>.
[RFC7554] Watteyne, T., Ed., Palattella, M., and L. Grieco, "Using
IEEE 802.15.4e Time-Slotted Channel Hopping (TSCH) a 6TiSCH network where the time is
maintained as ASN time slots, the time synchronization is achieved
through beaconing among the nodes as described in [RFC7554]. There
could be 6lo networks that employ NTP where the
Internet nodes are
synchronized with an external reference clock from an NTP server.
The specification of Things (IoT): Problem Statement", RFC 7554,
DOI 10.17487/RFC7554, May 2015,
<https://www.rfc-editor.org/info/rfc7554>.
[RFC8138] Thubert, P., Ed., Bormann, C., Toutain, L., and R. Cragie,
"IPv6 over Low-Power Wireless Personal Area Network
(6LoWPAN) Routing Header", RFC 8138, DOI 10.17487/RFC8138,
April 2017, <https://www.rfc-editor.org/info/rfc8138>.
[RFC8174] Leiba, B., "Ambiguity the time-synchronization method that needs to be
followed by a network is beyond the scope of Uppercase vs Lowercase in RFC
2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174,
May 2017, <https://www.rfc-editor.org/info/rfc8174>.
[RFC8655] Finn, N., Thubert, P., Varga, B., and J. Farkas,
"Deterministic Networking Architecture", RFC 8655,
DOI 10.17487/RFC8655, October 2019,
<https://www.rfc-editor.org/info/rfc8655>.
[RFC9030] Thubert, P., Ed., "An Architecture for IPv6 over the Time-
Slotted Channel Hopping Mode document.
The number of IEEE 802.15.4 (6TiSCH)",
RFC 9030, DOI 10.17487/RFC9030, May 2021,
<https://www.rfc-editor.org/info/rfc9030>.
10.2. Informative References
[6LO-BLEMESH]
Gomez, C., Darroudi, S. M., Savolainen, T., hex digits chosen to represent DT, and M. Spoerk,
"IPv6 Mesh over BLUETOOTH(R) Low Energy using IPSP", Work
in Progress, Internet-Draft, draft-ietf-6lo-blemesh-10, 22
April 2021, the portion of
that field allocated to represent the integer number of seconds,
determines the meaning of t_0, i.e., the meaning of DT == 0 in the
chosen representation. If DTL == 0, then there are only 4 bits that
can be used to count the time units, so that DT == 0 can never be
more than 16 time units (or fractional time units) in the past. This
then requires that the time synchronization between sender and
receiver has to be tighter than 16 units. If the binary point were
moved so that all the bits were used for fractional time units (e.g.,
fractional seconds or fractional ASNs), the time-synchronization
requirement would be correspondingly tighter.
A 4-bit field for DT allows up to 16 hex digits, which is 64 bits.
That is enough to represent the NTP 64-bit timestamp format
[RFC5905], which is more than enough for the purposes of establishing
deadline times. Unless the binary point is moved, this is enough to
represent time since year 1900.
For example, suppose that DTL = 0b0000 and the DT bits are split
evenly; then we can count up to 3.75 seconds by quarter-seconds.
If DTL = 3 and the DT bits are again split evenly, then we can count
up to 256 seconds (in steps of 1/256 of a second).
In all cases, t_0 is defined as specified in Section 5.
t_0 = [current_time - (current_time mod (2^(4*(DTL+1))))]
regardless of the choice of TU.
For TU = 0b00, the time units are seconds. With DTL == 15, and
BinaryPt == 0, the epoch is (by default) January 1, 1900, at 00:00
UTC. The resolution is then 2^-32 seconds, which is the maximum
possible. This time format wraps around every 2^32 seconds, which is
roughly 136 years.
For TU = 0b10, the time units are ASNs. The start time is relative,
and updated by a mechanism that is out of scope for this document.
With 10 ms slots, DTL = 15, and BinaryPt == 0, it would take over a
year for the ASN to wrap around. Typically, the number of hex digits
allocated for TU = 0b10 would be less than 15.
9. Security Considerations
The security considerations of [RFC4944] (Section 13), [RFC6282]
(Section 6), and [RFC6553] (Section 5) apply. Using a compressed
format as opposed to the full inline format is logically equivalent
and does not create an opening for a new threat when compared to
[RFC6550], [RFC6553], and [RFC6554].
The protocol elements specified in this document are designed to work
in controlled operational environments (e.g., industrial process
control and automation). In order to avoid misuse of the deadline
information that could potentially result in a Denial of Service
(DoS) attack, proper functioning of this deadline time mechanism
requires the provisioning and management of network resources for
supporting traffic flows with deadlines, performance monitoring, and
admission control policy enforcement. The network provisioning can
be done either centrally or in a distributed fashion. For example,
tracks in a 6TiSCH network could be established by a centralized Path
Computation Element (PCE), as described in the 6TiSCH architecture
[RFC9030].
The security considerations of DetNet architecture [RFC8655]
(Section 5) mostly apply to this document as well, as follows. To
secure the request and control of resources allocated for tracks,
authentication and authorization can be used for each device and
network controller devices. In the case of distributed control
protocols, security is expected to be provided by the security
properties of the protocols in use.
The identification of deadline-bearing flows on a per-flow basis may
provide attackers with additional information about the data flows
compared to networks that do not include per-flow identification.
The security implications of disclosing that additional information
deserve consideration when implementing this deadline specification.
Because of the requirement of precise time synchronization, the
accuracy, availability, and integrity of time synchronization is of
critical importance. Extensive discussion of this topic can be found
in [RFC7384].
10. References
10.1. Normative References
[RFC2119] Bradner, S., "Key words for use in RFCs to Indicate
Requirement Levels", BCP 14, RFC 2119,
DOI 10.17487/RFC2119, March 1997,
<https://www.rfc-editor.org/info/rfc2119>.
[RFC4944] Montenegro, G., Kushalnagar, N., Hui, J., and D. Culler,
"Transmission of IPv6 Packets over IEEE 802.15.4
Networks", RFC 4944, DOI 10.17487/RFC4944, September 2007,
<https://www.rfc-editor.org/info/rfc4944>.
[RFC5905] Mills, D., Martin, J., Ed., Burbank, J., and W. Kasch,
"Network Time Protocol Version 4: Protocol and Algorithms
Specification", RFC 5905, DOI 10.17487/RFC5905, June 2010,
<https://www.rfc-editor.org/info/rfc5905>.
[RFC6282] Hui, J., Ed. and P. Thubert, "Compression Format for IPv6
Datagrams over IEEE 802.15.4-Based Networks", RFC 6282,
DOI 10.17487/RFC6282, September 2011,
<https://www.rfc-editor.org/info/rfc6282>.
[RFC6550] Winter, T., Ed., Thubert, P., Ed., Brandt, A., Hui, J.,
Kelsey, R., Levis, P., Pister, K., Struik, R., Vasseur,
JP., and R. Alexander, "RPL: IPv6 Routing Protocol for
Low-Power and Lossy Networks", RFC 6550,
DOI 10.17487/RFC6550, March 2012,
<https://www.rfc-editor.org/info/rfc6550>.
[RFC6553] Hui, J. and JP. Vasseur, "The Routing Protocol for Low-
Power and Lossy Networks (RPL) Option for Carrying RPL
Information in Data-Plane Datagrams", RFC 6553,
DOI 10.17487/RFC6553, March 2012,
<https://www.rfc-editor.org/info/rfc6553>.
[RFC6554] Hui, J., Vasseur, JP., Culler, D., and V. Manral, "An IPv6
Routing Header for Source Routes with the Routing Protocol
for Low-Power and Lossy Networks (RPL)", RFC 6554,
DOI 10.17487/RFC6554, March 2012,
<https://www.rfc-editor.org/info/rfc6554>.
[RFC7384] Mizrahi, T., "Security Requirements of Time Protocols in
Packet Switched Networks", RFC 7384, DOI 10.17487/RFC7384,
October 2014, <https://www.rfc-editor.org/info/rfc7384>.
[RFC7554] Watteyne, T., Ed., Palattella, M., and L. Grieco, "Using
IEEE 802.15.4e Time-Slotted Channel Hopping (TSCH) in the
Internet of Things (IoT): Problem Statement", RFC 7554,
DOI 10.17487/RFC7554, May 2015,
<https://www.rfc-editor.org/info/rfc7554>.
[RFC8138] Thubert, P., Ed., Bormann, C., Toutain, L., and R. Cragie,
"IPv6 over Low-Power Wireless Personal Area Network
(6LoWPAN) Routing Header", RFC 8138, DOI 10.17487/RFC8138,
April 2017, <https://www.rfc-editor.org/info/rfc8138>.
[RFC8174] Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC
2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174,
May 2017, <https://www.rfc-editor.org/info/rfc8174>.
[RFC8655] Finn, N., Thubert, P., Varga, B., and J. Farkas,
"Deterministic Networking Architecture", RFC 8655,
DOI 10.17487/RFC8655, October 2019,
<https://www.rfc-editor.org/info/rfc8655>.
[RFC9030] Thubert, P., Ed., "An Architecture for IPv6 over the Time-
Slotted Channel Hopping Mode of IEEE 802.15.4 (6TiSCH)",
RFC 9030, DOI 10.17487/RFC9030, May 2021,
<https://www.rfc-editor.org/info/rfc9030>.
10.2. Informative References
[6LO-BLEMESH]
Gomez, C., Darroudi, S. M., Savolainen, T., and M. Spoerk,
"IPv6 Mesh over BLUETOOTH(R) Low Energy using IPSP", Work
in Progress, Internet-Draft, draft-ietf-6lo-blemesh-10, 22
April 2021,
<https://tools.ietf.org/html/draft-ietf-6lo-blemesh-10>.
[IEEE-BLE-MESH]
Leonardi, L., Patti, G., and L. Lo Bello, "Multi-Hop Real-
Time Communications Over Bluetooth Low Energy Industrial
Wireless Mesh Networks", IEEE Access, Vol 6, pp.
26505-26519, DOI 10.1109/ACCESS.2018.2834479, May 2018,
<https://doi.org/10.1109/ACCESS.2018.2834479>.
[IEEE.1588.2008]
IEEE, "IEEE Standard for a Precision Clock Synchronization
Protocol a Precision Clock Synchronization
Protocol for Networked Measurement and Control Systems",
DOI 10.1109/IEEESTD.2008.4579760, July 2008,
<https://doi.org/10.1109/IEEESTD.2008.4579760>.
[IEEE.802.15.4]
IEEE, "IEEE Standard for Low-Rate Wireless Networks", IEEE
Standard 802.15.4-2015, DOI 10.1109/IEEESTD.2016.7460875,
April 2016,
<https://ieeexplore.ieee.org/document/7460875>.
[IEEE.802.1AS.2011]
IEEE, "IEEE Standard for Local and Metropolitan Area
Networks - Timing and Synchronization for Time-Sensitive
Applications in Bridged Local Area Networks", IEEE Std
802.1AS-2011, DOI 10.1109/IEEESTD.2011.5741898, March
2011, <https://doi.org/10.1109/IEEESTD.2011.5741898>.
[IOAM-DATA]
Brockners, F., Ed., Bhandari, S., Ed., and T. Mizrahi,
Ed., "Data Fields for In-situ OAM", Work in Progress,
Internet-Draft, draft-ietf-ippm-ioam-data-12, 21 February
2021, <https://tools.ietf.org/html/draft-ietf-ippm-ioam-
data-12>.
[PHY-SPEC] Wi-SUN Alliance, "Wi-SUN PHY Specification V1.0", March
2016, <http://wi-sun.org>.
[RFC8578] Grossman, E., Ed., "Deterministic Networking Use Cases",
RFC 8578, DOI 10.17487/RFC8578, May 2019,
<https://www.rfc-editor.org/info/rfc8578>.
[RFC8929] Thubert, P., Ed., Perkins, C.E., and E. Levy-Abegnoli,
"IPv6 Backbone Router", RFC 8929, DOI 10.17487/RFC8929,
November 2020, <https://www.rfc-editor.org/info/rfc8929>.
[RFC9008] Robles, M.I., Richardson, M., and P. Thubert, "Using RPI
Option Type, Routing Header for Source Routes, and IPv6-
in-IPv6 Encapsulation in the RPL Data Plane", RFC 9008,
DOI 10.17487/RFC9008, April 2021,
<https://www.rfc-editor.org/info/rfc9008>.
[Wi-SUN] Harada, H., Mizutani, K., Fujiwara, J., Mochizuki, K.,
Obata, K., and R. Okumura, "IEEE 802.15.4g Based Wi-SUN
Communication Systems", IEICE Transactions on
Communications, Volume E100.B, Issue 7, pp. 1032-1043,
DOI 10.1587/transcom.2016SCI0002, January 2017,
<https://doi.org/10.1587/transcom.2016SCI0002>.
Appendix A. Modular Arithmetic Considerations
Graphically, one might visualize the timeline as follows:
OT_abs CT_abs DT_abs
-------|-------------|-------------|------------------>
Figure 8: Absolute Timeline Representation
In Figure 8, the value of CT_abs is envisioned as traveling to the
right as time progresses, getting farther away from OT_abs and
getting closer to DT_abs. The timeline is considered to be
subdivided into time subintervals [i,j] starting and ending at
absolute times equal to k*(2^N), for integer values of k. Let I_k =
k*(2^N) and I_(k+1) = (k+1)*2^N. Intervals starting at I_k and
I_(k+1) may occur at various placements in the above timeline. Even
though OT_abs is _always_ less than DT_abs, it could be that DT < OT
because of the way that DT and OT are represented within the range
[0, 2^N) and similarly for Networked Measurement CT_abs and Control Systems",
DOI 10.1109/IEEESTD.2008.4579760, July 2008,
<https://doi.org/10.1109/IEEESTD.2008.4579760>.
[IEEE.802.15.4]
IEEE, "IEEE Standard CT compared to OT and DT.
Representing the above situation in time segments of length 2^N (and
values OT, CT, DT) results in several cases where the deadline time
has not elapsed:
1) OT < CT < DT (e.g., I_k < OT_abs < CT_abs < DT_abs < I_(k+1) )
2) DT < OT < CT (e.g., I_k < OT_abs < CT_abs < I_(k+1) < DT_abs )
3) CT < DT < OT (e.g., I_k < OT_abs < I_(k+1) < CT_abs < DT_abs )
In the following cases, the deadline time has elapsed and the packet
should be dropped.
4) DT < CT < OT
5) OT < DT < CT
6) CT < OT < DT
Again in Figure 8, consider CT_abs as time moving away from OT_abs
and towards DT_abs. For times CT_abs before the expiration of the
deadline time, we also have CT_abs - OT_abs == CT - OT mod 2^N and
similarly for Low-Rate Wireless Networks", IEEE
Standard 802.15.4-2015, DOI 10.1109/IEEESTD.2016.7460875,
April 2016,
<https://ieeexplore.ieee.org/document/7460875>.
[IEEE.802.1AS.2011]
IEEE, "IEEE Standard DT_abs - CT_abs.
As time proceeds, DT_abs - CT_abs gets smaller. When the deadline
time expires, DT_abs - CT_abs begins to grow negative. A proper
selection for Local SAFETY_FACTOR allows it to go _slightly negative_ but
for an intermediate point to _detect_ that it has gone negative.
Note that in modular arithmetic, "slightly negative" means _exactly_
the same as "almost as large as the modulus (i.e., 2^N)". Now
consider the test condition ((CT - DT) mod 2^N) > SAFETY_FACTOR*2^N.
(DT_abs - OT_abs) < 2^N*(1-SAFETY_FACTOR) satisfies the test
condition when CT_abs == OT_abs (i.e., when the packet is launched).
In modular arithmetic, 2^N*(1-SAFETY_FACTOR) == 2^N -
2^N*SAFETY_FACTOR == -2^N*(SAFETY_FACTOR). Then DT_abs - OT_abs <
-2^N*(1-SAFETY_FACTOR). Inverting the inequality, OT_abs - DT_abs >
2^N*(1-SAFETY_FACTOR), and Metropolitan Area
Networks thus at launch CT_abs - Timing DT_abs >
2^N*(1-SAFETY_FACTOR).
As CT_abs grows larger, CT_abs - DT_abs gets LARGER in (non-negative)
modular arithmetic until the time at which CT_ABS == DT_ABS, and Synchronization
suddenly CT_ABS - DT_abs becomes zero. Also suddenly, the test
condition is no longer fulfilled.
As CT_abs grows still larger, CT_abs > DT_abs, and we need to detect
this condition as soon as possible. Requiring the SAFETY_FACTOR
enables this detection until CT_abs exceeds DT_abs by an amount equal
to SAFETY_FACTOR*2^N.
A note about "inverting the inequality". Observe that a < b implies
that -a > -b on the real number line. Also, (a - b) == -(b - a).
These facts hold also for modular arithmetic.
During the times prior to the expiration of the deadline, for Time-Sensitive
Applications in Bridged Local Area Networks", IEEE Std
802.1AS-2011, DOI 10.1109/IEEESTD.2011.5741898, March
2011, <https://doi.org/10.1109/IEEESTD.2011.5741898>.
[IOAM-DATA]
Brockners, F., Bhandari, S., Safe =
2^N*SAFETY_FACTOR we have:
(DT_abs - 2^N) < OT_abs < CT_abs < DT_abs < DT_abs+Safe
Naturally, DT_abs - 2^N == DT_abs mod 2^N == DT.
Again considering Figure 8, it is easy to see that {CT_abs - (DT_abs
- 2^N)} gets larger and T. Mizrahi, "Data Fields larger until the time at which CT_abs =
DT_abs, which is the first time at which CT - DT == 0 mod 2^N. As
CT_abs increases past the deadline time, 0 < CT_abs - DT_abs < Safe.
In this range, any intermediate node can detect that the deadline has
expired. As CT_abs increases past DT_abs+Safe, it is no longer
possible for In-situ OAM", Work an intermediate node to determine with certainty whether
or not the deadline time has expired. These statements also apply
when reduced to modular arithmetic in Progress, Internet-Draft, draft-
ietf-ippm-ioam-data-12, 21 February 2021,
<https://tools.ietf.org/html/draft-ietf-ippm-ioam-data-
12>.
[PHY-SPEC] Wi-SUN Alliance, "Wi-SUN PHY Specification V1.0", March
2016.
[RFC8578] Grossman, E., Ed., "Deterministic Networking Use Cases",
RFC 8578, DOI 10.17487/RFC8578, May 2019,
<https://www.rfc-editor.org/info/rfc8578>.
[RFC8929] Thubert, P., Ed., Perkins, C.E., and E. Levy-Abegnoli,
"IPv6 Backbone Router", RFC 8929, DOI 10.17487/RFC8929,
November 2020, <https://www.rfc-editor.org/info/rfc8929>.
[RFC9008] Robles, M.I., Richardson, M., and P. Thubert, "Using RPI
Option Type, Routing Header the modulus 2^N.
In particular, the test condition no longer allows detection of
deadline expiration when the current time becomes later than
(DT_abs+Safe). In order to maintain correctness even for Source Routes, and IPv6-
in-IPv6 Encapsulation packets
that are forwarded after expiration (i.e., the 'D' flag), N has to be
chosen to be so large that the test condition will not fail -- i.e.,
that in all scenarios of interest, the RPL Data Plane", RFC 9008,
DOI 10.17487/RFC9008, April 2021,
<https://www.rfc-editor.org/info/rfc9008>.
[Wi-SUN] Harada, H., Mizutani, K., Fujiwara, J., Mochizuki, K.,
Obata, K., and R. Okumura, "IEEE 802.15.4g Based Wi-SUN
Communication Systems", IEICE Transactions on
Communications, Volume E100.B, Issue 7, pp. 1032-1043,
DOI 10.1587/transcom.2016SCI0002, January 2017,
<https://doi.org/10.1587/transcom.2016SCI0002>. packet will be dropped before
the current time becomes equal to DT_abs+2^N*SAFETY_FACTOR.
Acknowledgments
The authors thank Pascal Thubert for suggesting the idea and
encouraging the work. Thanks to Shwetha Bhandari's suggestions,
which were instrumental in extending the timing information to
heterogeneous networks. The authors acknowledge the 6TiSCH WG
members for their inputs on the mailing list. Special thanks to
Jerry Daniel, Dan Frost (Routing Directorate), Charlie Kaufman
(Security Directorate), Seema Kumar, Tal Mizrahi, Avinash Mohan,
Shalu Rajendran, Anita Varghese, and Dale Worley (General Area Review
Team (Gen-ART) review) for their support and valuable feedback.
Authors' Addresses
Lijo Thomas
Centre for Development of Advanced Computing
Vellayambalam
Trivandrum 695033
India
Email: lijo@cdac.in
Satish Anamalamudi
SRM University-AP
Amaravati Campus
Amaravati, Andhra Pradesh 522 502
India
Email: satishnaidu80@gmail.com
S.V.R. Anand
Indian Institute of Science
Bangalore 560012
India
Email: anand@ece.iisc.ac.in anandsvr@iisc.ac.in
Malati Hegde
Indian Institute of Science
Bangalore 560012
India
Email: malati@ece.iisc.ac.in malati@iisc.ac.in
Charles E. Perkins
Futurewei
2330 Central Expressway
Santa Clara,
Lupin Lodge
20600 Aldercroft Heights Rd.
Los Gatos, CA 95050 95033
United States of America
Email: charliep@computer.org