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Add description of how the primes from RFC 3526/7919 were generated

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Hanno Becker 2017-09-27 12:42:59 +01:00
parent 8c8b0ab877
commit b1d4d1fa6e
1 changed files with 16 additions and 0 deletions
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16
include/mbedtls/dhm.h
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@ -77,6 +77,22 @@
* \deprecated The primes from RFC 5114 are superseded by the primes * \deprecated The primes from RFC 5114 are superseded by the primes
* from RFC 3526 and RFC 7919 and should no longer be used. * from RFC 3526 and RFC 7919 and should no longer be used.
* They will be removed in the next major revision. * They will be removed in the next major revision.
*
* The primes from RFC 3526 and RFC 7919 have been generating by the following
* trust-worthy procedure:
* - Fix N in { 2048, 3072, 4096, 6144, 8192 } and consider the N-bit number
* the first and last 64 bits are all 1, and the remaining N - 128 bits of
* which are 0x7ff...ff.
* - Add the smallest multiple of the first N - 129 bits of the binary expansion
* of pi (for RFC 5236) or e (for RFC 7919) to this intermediate bit-string
* such that the resulting integer is a safe-prime.
* - The result is the respective RFC 3526 / 7919 prime, and the corresponding
* generator is always chosen to be 2 (which is a square for these prime,
* hence the corresponding subgroup has order (p-1)/2 and avoids leaking a
* bit in the private exponent).
*
* The above description can be validated using the
* the program programs/util/rfc_3526_7919_verify.
*/ */
const char *mbedtls_dhm_rfc3526_modp_2048_p; const char *mbedtls_dhm_rfc3526_modp_2048_p;