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1. On Hamming distance distributions of repeated-root constacyclic codes of length 3ps over [formula omitted].

Author

Dinh, Hai Q., Nguyen, Bac T., Thi, Hiep L., and Yamaka, Woraphon

Subjects
*COMMUTATIVE rings, *CYCLIC codes, *LOCAL rings (Algebra), *HAMMING distance
Abstract

Let p ≠ 3 be any prime. The algebraic structures of all λ -constacyclic codes of length 3 p s over the finite commutative chain ring R = F p m + u F p m are provided by classifying all ideals of the local ring R [ x ] 〈 x 3 p s − λ 〉. Using these structures, in this paper, the exact values of Hamming distances of all such λ -constacyclic codes of length 3 p s are established. As an application, we identify all maximal distance separable λ -constacyclic codes of length 3 p s. [ABSTRACT FROM AUTHOR]

Published
2023
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