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Affiliation of Author(s):理学院

Journal:Finite Fields Appl.

Abstract:Let Fq be a finite field with q elements and n a positive integer. Martínez, Vergara and Oliveira (Des. Codes Cryptogr. 77 (1): 277–286, 2015) explicitly factorized xn−1 over Fq under the condition of rad(n)|(q−1). In this paper, we factorize xn−1 into irreducible factors in Fq[x] and count the number of its irreducible factors when rad(n)∤(q−1), rad(n)|(qw−1), and w is a prime. © 2018 Elsevier Inc.

ISSN No.:1071-5797

Translation or Not:no

Date of Publication:2018-11-01

Co-author:Wu, Yansheng,Fan, Shuqin

Correspondence Author:Wu, Yansheng,岳勤,yq