An explicit representation and enumeration for negacyclic codes of length 2^kn over Z_4+uZ_4

11/27/2018

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by   Yonglin Cao, et al.

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In this paper, an explicit representation and enumeration for negacyclic codes of length 2^kn over the local non-principal ideal ring R=Z_4+uZ_4 (u^2=0) is provided, where k, n are any positive integers and n is odd. As a corollary, all distinct negacyclic codes of length 2^k over R are listed precisely. Moreover, a mass formula for the number of negacyclic codes of length 2^kn over R is given and a mistake in [Cryptogr. Commun. (2017) 9: 241--272] is corrected.