The algebraic structures of cyclic codes of length 5p^s over ring F_p^m +uF_p^m and their duals.

Presenter Information

Manh Thang Vo, Mathematics

Abstract

In this presentation, for an odd prime p unequal to 5, we study all cyclic codes of length 5p^s over R, where R = F_p^m +uF_p^m(u^2 = 0). We divide our considerations into 4 cases, namely, p ≡ 1 (mod 5), p ≡ 4 (mod 5), and p ≡ 2 or 3(mod 5).

Keywords:

algebraic structures, cyclic codes

Status

Graduate

Department

Mathematics

College

Graduate College

Campus

Athens

Faculty Mentor

Lopez-Permouth, Sergio

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The algebraic structures of cyclic codes of length 5p^s over ring F_p^m +uF_p^m and their duals.

In this presentation, for an odd prime p unequal to 5, we study all cyclic codes of length 5p^s over R, where R = F_p^m +uF_p^m(u^2 = 0). We divide our considerations into 4 cases, namely, p ≡ 1 (mod 5), p ≡ 4 (mod 5), and p ≡ 2 or 3(mod 5).