The algebraic structures of cyclic codes of length 5p^s over ring F_p^m +uF_p^m and their duals.
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
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
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).
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