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Originally Posted by R.D. Silverman
What you ask is meaningless. The norms are substantially smaller than N.
If the norm is smooth, then it is smooth mod N and vice-versa.
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I know they are smaller than N.
Is of any use this in some kind of modification of nfs:
1. f(x,y) > N
2. f(x,y) mod N is smooth
3. x-m*y mod N is smooth
(3 seems clear).