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Modular multiplication without trial division

Peter L. Montgomery

Source record

Source: Crossref

Published: Jan 1, 1985

DOI: 10.1090/s0025-5718-1985-0777282-x

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Source abstract

Let N > 1 N > 1 . We present a method for multiplying two integers (called N-residues ) modulo N while avoiding division by N . N -residues are represented in a nonstandard way, so this method is useful only if several computations are done modulo one N . The addition and subtraction algorithms are unchanged.

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Modular multiplication without trial division — Mathematical Frontier Network