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StarGhost






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Finding modulo root of a polynomial
posted on: 3/2/2007 9:42:46 AM

Hello,

I'm experiencing a problem of finding a root for a polynomial f(x) (mod n), i.e., if x0 is a root, then

f(x0) = 0 (mod n), that is to say, f(x0) is congruent to 0 modulo n.

It's obvious that x0 is within [-n , n]. But since n is a very big number, about 200 decimal digits, any searching has not resulted the solution. Another point is that n is not a prime, since this case has its own solution.

All number here including solution, moduls and polynomial parameters are integers.

If anyone find an idea, please help me.

Thanks a lot.

SG.
Euler




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Finding modulo root of a polynomial
replied on: 3/4/2007 1:19:44 AM

I assume that you mean n has about 200 digits, not decimal digits, since then it wouldn't be an integer.
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