On Modular Inverses of Cyclotomic Polynomials and the Magnitude of their Coefficients

Details On Modular Inverses of Cyclotomic Polynomials and the Magnitude of their Coefficients On Modular Inverses of Cyclotomic Polynomials and the Magnitude of their Coefficients

2009-07-31

arxiv.org/abs/0907.5543v2

Mathematics

Number Theory

21 pages

Scientific paper

Let p and r be two primes and n, m be two distinct divisors of pr. Consider
the n-th and m-th cyclotomic polynomials. In this paper, we present lower and
upper bounds for the coefficients of the inverse of one of them modulo the
other one. We mention an application to torus-based cryptography.

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