2014/05/11 by Bocong Chen, Chen, Bocong, San Ling +3
Computer Science · Engineering · Mathematics · #11T71 #94B15 #Coding theory and cryptography #FOS: Computer and information sciences #Finite Group Theory Research #Information Theory (cs.IT) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1405.2602
openalex publication_date 2014/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be a finite commutative chain ring with unique maximal ideal ⟨ γ⟩, and let n be a positive integer coprime with the characteristic of R/⟨ γ⟩. In this paper, the algebraic structure of cyclic codes of length n over R is investigated. Some new necessary and sufficient conditions for the existence of nontrivial self-dual cyclic codes are provided. An enumeration formula for the self-dual cyclic codes is also studied.