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An explicit representation and enumeration for negacyclic codes of length 2kn over Z+ uZ4

Authors: 

Yuan Cao, Yonglin Cao, Hai Q. Dinh, Ramakrishna Bandi, Fang-Wei Fu

Source title: 
Advances in Mathematics of Communications, 15(2): 291-309, 2021 (ISI)
Academic year of acceptance: 
2020-2021
Abstract: 

In this paper, we give an explicit representation and enumeration for negacyclic codes of length 2kn over the local non-principal ideal ring a (u2 = 0), where k, n are arbitrary positive integers and n is odd. In particular, we present all distinct negacyclic codes of length 2k over precisely. Moreover, we provide an exact mass formula for the number of negacyclic codes of length 2kn over R and correct several mistakes in some literatures.