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Diffie-Hellman DomainParameters
In RFC 2459, Section 7.3.2, two components of the DomainParameters are defined as:
"g specifies the generator of the multiplicative subgroup of order g"
"q specifies the prime factor of p-1"
The order of the subgroup is the order of g, g is not the order; g is the multiplicative subgroup generator. The order of g is q, which is a large prime factor of p-1.
I think the definitions would be correct and more clear if defined as:
"g specifies the generator of the multiplicative subgroup of order q".
"q specifies the prime factor of p-1, and the order of g in GF(p)".
- Tolga