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On Constacyclic Codes Over Z4[v]/⟨v2−v⟩ and Their Gray Images

Authors: 

Hai Q. Dinh, Abhay Kumar Singh, Narendra Kumar and Songsak Sriboonchitta

Source title: 
IEEE Communications Letters, 22(9): 1758-1761, 2018 (ISI)
Academic year of acceptance: 
2018-2019
Abstract: 

In this letter, we discuss the construction of all constacyclic codes over R = ℤ4 [v]/(v 2 - v). Some significant properties of linear codes over R have been explored. The selfdual constacyclic codes for odd length over R are determined. Several examples of (1 + 2v)constacyclic codes and (3 + 2v) constacyclic codes over R, whose ℤ4 -images are new ℤ 4 -linear codes with better parameters, are provided