A study of cyclic and constacyclic codes over Z₄ + uZ₄ + vZ₄
by Habibul Islam; Om Prakash
International Journal of Information and Coding Theory (IJICOT), Vol. 5, No. 2, 2018

Abstract: In this paper, we study some properties of cyclic and constacyclic codes over the ring R = Z₄ + uZ₄ + vZ₄ where u² = uv = vu = 0. The generator polynomials and minimal spanning set for cyclic codes over R are determined. Further, (1 + 2u) - constacyclic codes are considered and find the cyclic, quasi-cyclic and permutation equivalent to a QC code over Z₄ as the Gray images of (1 + 2u) - constacyclic codes over R.

Online publication date: Fri, 28-Sep-2018

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