Comments (2)
This restriction applies to private random ephemeral values.
Simply create a new SRP-6 Variable that produces such values.
from srp6-variables.
This document - The Secure Remote Password - has more details on constrains regarding a
and b
:
a, b > logg n The computation of ga and gb in GF(n) must "wrap around" to prevent an attack from taking the algebraic logarithm of ga to recover a. The probability of this happening is infinitesimal (less than 2-1014 for 1024-bit n), but the check is trivial.
UPDATE:
I think this is a redundant check (for all practical pruposes).
The math:
// SRP6RandomEphemeral must confirm to: log_g (N) < r
// log_g (N) <= exp, from which follows: g^exp >= N
// log_g (N) <= exp < r
// exp < r
// Therefore, "exp" should not be greater or equal to "r"!
BigInteger
's pow
method only accepts int
exponents (32 bit). But class SRP6RandomEphemeral guarantees to produce, at a minimum, a 256-bit long integer.
from srp6-variables.
Related Issues (20)
- Add Client Shared Secret (S)
- Add WoW Test Vectors
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- Add Server Proof of Session Key (M2) HOT 1
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from srp6-variables.