
Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3ps over the finite commutative chain ring R=Fpm+uFpm, where γ is a unit of R which is not a cube in Fpm. We give the necessary and sufficient condition for a symbol-pair γ-constacyclic code to be an MDS symbol-pair code. Using that, we provide all MDS symbol-pair γ-constacyclic codes of length 3ps over R. Some examples of the symbol-pair distance of γ-constacyclic codes of length 3ps over R are provided.
constacyclic codes, symbol-pair codes, QA1-939, MDS codes, dual codes, chain rings, Mathematics
constacyclic codes, symbol-pair codes, QA1-939, MDS codes, dual codes, chain rings, Mathematics
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