An explicit representation and enumeration for negacyclic codes of length 2kn over Z4 + uZ4
An explicit representation and enumeration for negacyclic codes of length 2kn over Z4 + uZ4
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 (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 R 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.