Symbol-triple distance of repeated-root constacyclic codes of prime power lengths
Symbol-triple distance of repeated-root constacyclic codes of prime power lengths
Source title:
Hai Q Dinh, Sampurna Satpati, Abhay Kumar Singh and Woraphon Yamaka,
2019
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
Let p be an odd prime, s and m be positive integers and λ be a nonzero element of . The λ-constacyclic codes of length ps over
are linearly ordered under set theoretic inclusion as ideals of the chain ring
. Using this structure, the symbol-triple distances of all such λ-constacyclic codes are established in this paper. All maximum distance separable symbol-triple constacyclic codes of length ps are also determined as an application.