Show that if we do all arithmetic modulo a prime number, p, then, for any integer x
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Show that if we do all arithmetic modulo a prime number, p, then, for any integer x > 0,
{ix mod p: i = 0, 1,...,p − 1} = {i : i = 0, 1,...,p − 1}.
Use the fact that if p is prime, then every nonzero integer less than p has a multiplicative inverse when we do arithmetic modulo p.
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Related Book For
Algorithm Design And Applications
ISBN: 9781118335918
1st Edition
Authors: Michael T. Goodrich, Roberto Tamassia
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