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Status: Verified (4)

RFC 4226, "HOTP: An HMAC-Based One-Time Password Algorithm", December 2005

Source of RFC: IETF - NON WORKING GROUP
Area Assignment: sec

Errata ID: 4994
Status: Verified
Type: Technical
Publication Format(s) : TEXT

Reported By: Mathias Tausig
Date Reported: 2017-04-14
Verifier Name: Paul Wouters
Date Verified: 2023-08-03

Section 7.2 says:

The HOTP client (hardware or software token) increments its counter
and then calculates the next HOTP value HOTP client.  If the value
received by the authentication server matches the value calculated by
the client, then the HOTP value is validated.  In this case, the
server increments the counter value by one.

If the value received by the server does not match the value
calculated by the client, the server initiate the resynch protocol
(look-ahead window) before it requests another pass.

It should say:

The HOTP client (hardware or software token) increments its counter
and then calculates the next HOTP value HOTP client.  If the value
received by the authentication server matches the value calculated by
the server, then the HOTP value is validated.  In this case, the
server increments the counter value by one.

If the value received by the server does not match the value
calculated by the server, the server initiate the resynch protocol
(look-ahead window) before it requests another pass.

Notes:

The OTP value received by the server is the one calculated by the client.

AD Note: this text still has the stray "HOTP client" string that errata eid 5723 reported.

Errata ID: 5130
Status: Verified
Type: Technical
Publication Format(s) : TEXT

Reported By: Gerrit Jansen van Vuuren
Date Reported: 2017-09-27
Verifier Name: Paul Wouters
Date Verified: 2023-08-03

Section Appendix C says:

 static public String generateOTP(byte[] secret,
                  long movingFactor,
             int codeDigits,
                  boolean addChecksum,
             int truncationOffset)
           throws NoSuchAlgorithmException, InvalidKeyException
       {
           // put movingFactor value into text byte array
     String result = null;
     int digits = addChecksum ? (codeDigits + 1) : codeDigits;
           byte[] text = new byte[8];
           for (int i = text.length - 1; i >= 0; i--) {
               text[i] = (byte) (movingFactor & 0xff);
               movingFactor >>= 8;
           }

It should say:

 static public String generateOTP(byte[] secret,
                  long movingFactor,
             int codeDigits,
                  boolean addChecksum,
             int truncationOffset)
           throws NoSuchAlgorithmException, InvalidKeyException
       {
           // put movingFactor value into text byte array
     String result = null;
     long count = movingFactor;
     int digits = addChecksum ? (codeDigits + 1) : codeDigits;
           byte[] text = new byte[8];
           for (int i = text.length - 1; i >= 0; i--) {
               text[i] = (byte) (count & 0xff);
               count >>= 8;
           }

Notes:

method parameters like movingFactor should not be edited or changed in the method logic. This may lead to misunderstanding and bugs when the code is ported to other platforms and or re-implemented. Here movingFactor would be expected to stay constant and can be reused, but the original implementation updates the value to 0, which means any extra logic or updates (even debug statements) would always see movingFactor == 0 no matter what.

Errata ID: 163
Status: Verified
Type: Editorial
Publication Format(s) : TEXT

Reported By: M'Raihi, David
Date Reported: 2005-12-26

Section 9 says:

   Oracle AuthO()
   --------------
      A = ALG(K,C)
      C = C + 1
      Return O to B

It should say:

   Oracle AuthO()
   --------------
      A = ALG(K,C)
      C = C + 1
      Return A to B
             ^^

Notes:


Section A.4.1, Paragraph 3, Lemma 1 definition, top of page 19

The description of Lemma 1 defines P_ {N,m} (z) using the term Z_ {n}
and it should actually be Z_ {N}.
P_{N,m}(z) = Pr [x mod m = z : x randomly pick in Z_{n}]
Should be:
P_{N,m}(z) = Pr [x mod m = z : x randomly pick in Z_{N}]
^^^

Section E.2, Paragraph 4, bottom of page 32
32^8 > 10^12 so the security of an 8-alphanumeric HOTP code is
significantly better than a 9-digit HOTP value.
Should be:
32^8 > 10^12 so the security of an 8-alphanumeric HOTP code is
significantly better than a 12-digit HOTP value.
^^

In Author's Addresses, Page 35, David Naccache's contact information should be:

David Naccache
ENS, DI
45 rue d'Ulm
75005 Paris, France
and
Information Security Group,
Royal Holloway,
University of London, Egham,
Surrey TW20 0EX, UK

EMail: david.naccache@ens.fr, david.naccache@rhul.ac.uk

Errata ID: 5723
Status: Verified
Type: Editorial
Publication Format(s) : TEXT

Reported By: Adam Sorini
Date Reported: 2019-05-18
Verifier Name: Roman Danyliw
Date Verified: 2022-01-20

Section 7.2 says:

The HOTP client (hardware or software token) increments its counter
and then calculates the next HOTP value HOTP client.

It should say:

The HOTP client (hardware or software token) increments its counter
and then calculates the next HOTP value.

Notes:

Stray "HOTP client" at the end of the sentence (for no reason).

Status: Reported (4)

RFC 4226, "HOTP: An HMAC-Based One-Time Password Algorithm", December 2005

Source of RFC: IETF - NON WORKING GROUP
Area Assignment: sec

Errata ID: 5129
Status: Reported
Type: Technical
Publication Format(s) : TEXT

Reported By: Gerrit Jansen van Vuuren
Date Reported: 2017-09-27

Section Appendix D says:

Count    Hexadecimal    Decimal        HOTP
   0        4c93cf18       1284755224     755224
   1        41397eea       1094287082     287082
   2         82fef30        137359152     359152
   3        66ef7655       1726969429     969429
   4        61c5938a       1640338314     338314
   5        33c083d4        868254676     254676
   6        7256c032       1918287922     287922
   7         4e5b397         82162583     162583
   8        2823443f        673399871     399871
   9        2679dc69        645520489     520489


It should say:

Count     Hexadecimal    Decimal        HOTP
   0         4c93cf18      1284755224    755224
   1         75a48a19      1973717529    717529
   2         bacb7fa       195868666     868666
   3         66c28227      1724023335    023335
   4         2904c900      688179456     179456
   5         237e783d      595490877     490877
   6         3c9cd285      1016910469    910469
   7         24fb960c      620467724     467724
   8         1b3c89f6      456952310     952310
   9         16374098      372719768     719768

Notes:

From https://www.ietf.org/rfc/rfc4226.txt, Appendix D, page 31

a. There is no mention of the parameters that were used to run the reference implementation to provide to test data. These should be:

codeDigits: 6, addCheckSum: false, truncationOffset: 0.

b. The hashes correspond. And the first row of Table2 (i.e for Count==0) correspond, but for Count 1...9 the values for Hex, Decimal and Hotp do not correspond with the values of the reference implementation.

I am using JDK 1.8.0_144

As a test I have done a copy and paste 'as is' from the reference implementation and run it with sysout statements to print the truncation and otp values for each counter.

The only changes made are: System.out and use of counter=movingFactor to print the movingFactor. None of which alter the logic. Note the differences in test data were found before adding the debug info.

Please see:
https://github.com/gerritjvv/cryptoplayground/tree/master/hmac/java/hmac/src/test/java/org/funsec/hmac

UnitTest method:
https://github.com/gerritjvv/cryptoplayground/blob/master/hmac/java/hmac/src/test/java/org/funsec/hmac/HTOPTest.java#L83

Reference Impl:
https://github.com/gerritjvv/cryptoplayground/blob/master/hmac/java/hmac/src/test/java/org/funsec/hmac/HOTPRef.java

Errata ID: 6756
Status: Reported
Type: Technical
Publication Format(s) : TEXT

Reported By: Nicholas Gaya
Date Reported: 2021-11-28

Section 5.3 says:

Let OffsetBits be the low-order 4 bits of String[19]

It should say:

Let OffsetBits be the low-order 4 bits of the last byte of String

Notes:

This change does not affect the computation for 20-byte HMAC-SHA-1 digests. However when using the HMAC-SHA-256 or HMAC-SHA-512 functions as suggested in RFC-6238, the 19th byte and the last byte may differ.

The proposed change matches the reference implementations of both RFC-4226 and RFC-6238 and removes potential ambiguity as to whether implementations should use the 19th byte or the last byte of the digest to determine the offset for dynamic truncation.

Errata ID: 6702
Status: Reported
Type: Technical
Publication Format(s) : TEXT

Reported By: Darian Miller
Date Reported: 2021-10-03

Section 5.2 says:

The Key (K), the Counter (C), and Data values are hashed high-order byte first.

It should say:

When hashing, the Key (K) value is provided in little-endian format while the Counter (C) value is in big-endian format.

Notes:

This byte reversal for the Counter (movingFactor) value is indeed demonstrated in the RFC's reference implementation code within Appendix C but this fact is not mentioned within RFC text body.

byte[] text = new byte[8];
for (int i = text.length - 1; i >= 0; i--) {
text[i] = (byte) (movingFactor & 0xff);
movingFactor >>= 8;
}


This specific issue is called out in a related wikipedia article:
https://en.wikipedia.org/wiki/HMAC-based_one-time_password: "counter must be big endian"


This can also be verified by looking at archived source of Google Authenticator on GitHub: https://github.com/google/google-authenticator/blob/51781910ae2bb1abf8ac51b290272f86f3651235/mobile/ios/Classes/OTPGenerator.m

Related code snippet:
(counter = NSSwapHostLongLongToBig(counter);)


FreeOTP also reverses the byte order of the counter
https://github.com/freeotp/freeotp-android/blob/eb2f12f33a38235433fd83e0ad3eb15affae871f/app/src/main/java/org/fedorahosted/freeotp/Token.java

code comment "// Encode counter in network byte order"
The code uses a Byte buffer which defaults to big_endian order.

Errata ID: 7651
Status: Reported
Type: Technical
Publication Format(s) : TEXT

Reported By: Ashley R. Thomas
Date Reported: 2023-09-21

Section 5.3 says:

   The Truncate function performs Step 2 and Step 3, i.e., the dynamic
   truncation and then the reduction modulo 10^Digit.  The purpose of
   the dynamic offset truncation technique is to extract a 4-byte
   dynamic binary code from a 160-bit (20-byte) HMAC-SHA-1 result.

    DT(String) // String = String[0]...String[19]
     Let OffsetBits be the low-order 4 bits of String[19]
     Offset = StToNum(OffsetBits) // 0 <= OffSet <= 15
     Let P = String[OffSet]...String[OffSet+3]
     Return the Last 31 bits of P

It should say:

   The Truncate function performs Step 2 and Step 3, i.e., the dynamic
   truncation and then the reduction modulo 10^Digit.  The purpose of
   the dynamic offset truncation technique is to extract a 4-byte
   dynamic binary code from a 160-bit (20-byte) HMAC-SHA-1 result.

    DT(String) // String = String[0]...String[19]
     Let OffsetBits be the low-order 4 bits of String[19]
     Offset = StToNum(OffsetBits) // 0 <= OffSet <= 15
|    Let P = String[Offset*8]...String[Offset*8+31]
     Return the Last 31 bits of P

Notes:

The uncorrected text uses String as a byte string amidst correct uses of it as a bit string. Section 5.1. clearly states, "A string always means a binary string, meaning a sequence of zeros and ones." The RFC seems to intend that either "string" or "String" is a bit string, not a byte string, so the use of "String" as a byte string in the uncorrected text seems incorrect, out of place, as if a typo.

Another apparent typo is use of camel case "OffSet" instead of simply "Offset". There is no distinction within the RFC that camel case "OffSet" has any meaning beyond another spelling for "Offset".

Thank you for considering this erratum and for this very straightforward, easy to understand, positively impactful RFC.

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