Re: hash of a string is the same string?

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Paul Rubin wrote:

Ertugrul Söylemez <es@xxxxxxxx> writes:

Don't you think that the absence of fixed points or extremely small
cycles indicates a potentially insecure hash function?

I would say that if the presence or absence of fixed points is known,
that could be a sign of insecurity.

Really? If I fired up a program that tests sha1 (or whatever gets chosen
to replace it) with string after string, and by chance I stumble upon a
string that happens to hash to itself, that would suddenly reduce the
security of that hash function?

Guy Macon