Cyclic codes over ℤ4 + uℤ4

Abstract

In this paper, we study cyclic codes over the ring R = ℤ₄ + uℤ₄, u² = 0. We discuss the Galois ring extensions of R and the ideal structure of these extensions. We have studied cyclic codes of odd lengths over R and also presented 1-generator cyclic codes over R interms nth roots of unity. Some examples are given to illustrate the results.