Let P(x) = xn + an−1x n−1 + .... + a1x + a0 be an irreducible polynomial over Fq. In [Cao, 2012, Varshamov, 1973, Lidl, 1987] the factorization of the composite polynomial P(x p − ax − δ), when a = 1 and T rFq/Fp (nb − an−1) = 0 is considered. The result of factorization of polynomial P(x p − x − δ) is a p irreducible polynomials of degree n over Fq. In this paper we propose an algorithm for factoring composite polynomial P(x p − x − δ) over Fq and give a explicit view of each factor.
oai:noad.sci.am:135919
Information Theories and Applications
serj.abrahamyan@gmail.com ; knarikyuregyan@gmail.com
Institute for Informatics and Automation Problems of NAS RA
May 3, 2021
Jul 27, 2020
32
https://noad.sci.am/publication/149512
Edition name | Date |
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An algorithm for factoring composite polynomial P(Xp − x − δ) | May 3, 2021 |
Abrahamyan Sergey Kyuregyan Knarik