2026/07/20 by Miguel Martín, Ekin Özman
#cs.IT #math.IT #math.NT
In this paper, we study cyclic and constacyclic codes over the finite chain ring R=Z4+iZ4, where i2=-1. We prove that all constacyclic codes over R are equivalent to cyclic codes. An algorithm to obtain generators for all simple root constacyclic codes over R is presented. Using a Gray map we then obtain linear Z4 codes from constacyclic codes over R. We present new best linear Z4 codes found using this method.