[Cryptography] Triple Diffie-Hellman keys

[Pierre Abbat]

Let's say that there's a big prime p, where p-1 has a big prime factor q, and 
g generates a subgroup of size q. In triple Diffie-Hellman, Alice and Bob choose 
numbers in [1,q-1] each time they start a session, but they also have long-
term keypairs. When they generate their keypairs, they don't want to choose 
small exponents, because Eve could recognize the public key as being the 
seventh (or whatever) power of the generator. What range should they choose 
the exponents for keypairs from?

Pierre
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