Hi,

I was looking at a few specs and found that the standard primes used for 
Diffie-Hellman key exchange or in DSA are not safe-primes 
(http://en.wikipedia.org/wiki/Safe_prime).
DH: None of primes in rfc5114 are safe primes
DSA: FIPS-186-3 (page 15) recommends the order of group to be much smaller 
than prime size - for example, for 1024 bit prime, order of group should be 
160
Why is this so ? Isn't it desirable for the order of the group to be as high 
as possible to make computation of discrete logarithm hard ?

-Rahul
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