$mathbb {Z}_{2}mathbb {Z}_{2}[u]$ –Cyclic and Constacyclic Codes

Following the very recent studies on ℤ2ℤ4-additive codes, ℤ2ℤ2[u]-linear codes have been introduced by Aydogdu et al. In this paper, we introduce and study the algebraic structure of cyclic, constacyclic codes and their duals over the R-module Z2α Rβ where R = ℤ2+uℤ2 = {0, 1, u, u + 1} is the ring with four elements and u2 = 0. We determine the generating independent sets and the types and sizes o...