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RFC 7919, "Negotiated Finite Field Diffie-Hellman Ephemeral Parameters for Transport Layer Security (TLS)", August 2016

Source of RFC: tls (sec)

Errata ID: 7579
Status: Reported
Type: Technical
Publication Format(s) : TEXT

Reported By: Tim Geiser
Date Reported: 2023-07-31

Section Appendix A says:

The primes in these finite field groups are all safe primes; that is,
a prime p is a safe prime when q = (p-1)/2 is also prime.  Where e is
the base of the natural logarithm and square brackets denote the
floor operation, the groups that initially populate this registry are
derived for a given bit length b by finding the lowest positive
integer X that creates a safe prime p where:

 p = 2^b - 2^{b-64} + {[2^{b-130} e] + X } * 2^64 - 1

It should say:

The primes in these finite field groups are all safe primes; that is,
a prime p is a safe prime when q = (p-1)/2 is also prime.  Where e is
the base of the natural logarithm and square brackets denote the
floor operation, the groups that initially populate this registry are
derived for a given bit length b by finding the lowest positive
integer X that creates a safe prime p where:

 p = 2^b - 2^{b-64} + {[2^{b-130} * e] + X } * 2^64 - 1

Notes:

The multiplication sign ('*' in ASCII) is missing in the explanatory introduction of Appendix A that describes the equation used for deriving the primes. It is correct in all five concrete derivations A.1 through A.5

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