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Title: MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup>
Authors: Hai Q. DInh
Bac T. Nguyen
Songsak Sriboonchitta
Keywords: Computer Science
Social Sciences
Issue Date: 1-Jan-2020
Abstract: © 1963-2012 IEEE. Let p be an odd prime, s and m be positive integers. Cyclic codes of length 2ps over Fpm are the ideals (x-1i(x+1)j, where 0 ≤ i, j ≤ ps, of the principal ideal ring Fpm [x]/ x2ps-1. Using this structure, the symbol-pair distances of all cyclic codes of length 2ps over Fpm are completely determined. In addition, we establish all MDS symbol-pair cyclic codes of length 2ps over Fpm. Some MDS symbol-pair cyclic codes are better than all the known ones. Among others, we discuss possible applications to construct quantum MDS symbol-pair codes.
ISSN: 15579654
Appears in Collections:CMUL: Journal Articles

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