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Rashid Rezaei

Rashid Rezaei

Academic rank: Assistant Professor
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Education: PhD.
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Faculty: Mathematical Sciences and Statistics
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Research

Title
کدهای دوری از طول p^s روی
Type
JournalPaper
Keywords
Chain ring, cyclic code, torsion code
Year
2024
Journal Communications of the Korean Mathematical Society
DOI
Researchers Rashid Rezaei

Abstract

Let R_e =F_{p^m}[u]/⟨u^e⟩, where p is a prime number, e is a positive integer and u^e = 0. In this paper, we first characterize the structure of cyclic codes of length p^s over R_e. These codes will be classified into 2^e distinct types. Among other results, in the case that e = 4, the torsion codes of cyclic codes of length p^s over R_4 are obtained. Also, we present some examples of cyclic codes of length p^s over R_e.