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Symbol-triple distance of repeated-root constacyclic codes of prime power lengths

Authors: 

Hai Q Dinh, Sampurna Satpati, Abhay Kumar Singh, Woraphon Yamaka

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 a. The λ-constacyclic codes of length ps over a are linearly ordered under set theoretic inclusion as ideals of the chain ring a. 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.