Talk:Higher residuosity problem

Latest comment: 8 years ago by 130.233.188.9 in topic Easier = harder (Explanation)

Easier = harder

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"This problem is easier to solve than integer factorization, so the assumption that this problem is hard to solve is stronger than the assumption that integer factorization is hard." This sounds very counterintuitive, anyone care to explain?

I came to this page precisely to point out this apparent contradiction. Or was it a typo? Please, either correct the statement or explain it.

Easier = harder (Explanation)

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If the problem is easier than the integer factorization, then [Higher residuosity problem is hard] implies the assumption [integer factorization is hard] (as the second is even harder). So since the first assumption implies the second it is a stronger assumption. — Preceding unsigned comment added by 130.233.188.9 (talk) 08:36, 13 June 2016 (UTC)Reply