Let ℜ = p m + u p m with u 2 = 0 , where m, s are positive integers and p is an odd prime. For any invertible element of ℜ , the symbol-pair distances of all -constacyclic codes of length 2p s over ℜ are completely obtained. We identify all symbolpair Maximum Distance Separable (MDS) constacyclic codes of length 2p s over ℜ . As examples, many new symbol-pair codes, as well as symbol-pair MDS codes are constructed.
Keywords Repeated-root codes • Symbol-pair MDS codes • Finite chain rings • Constacyclic codes • Symbol-pair distance
Mathematics Subject Classification 94B15 • 11T71Authors' names are in alphabetical order. This is a part of Ph.D. work of Mr. M. K. Thakur.
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