MDS Symbol-Pair Cyclic Codes of Length 2ps over Fpm
MDS Symbol-Pair Cyclic Codes of Length 2ps over Fpm
Source title:
IEEE Transactions on Information Theory, 66(1): 240-262,
2020
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
Let p be an odd prime, s and m be positive integers. Cyclic codes of length 
over 
are the ideals 
, where 
, of the principal ideal ring 
. Using this structure, the symbol-pair distances of all cyclic codes of length over are completely determined. In addition, we establish all MDS symbol-pair cyclic codes of length over . 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.
over are the ideals , where , of the principal ideal ring . Using this structure, the symbol-pair distances of all cyclic codes of length over are completely determined. In addition, we establish all MDS symbol-pair cyclic codes of length over . 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.