CYCLIC AND CONSTACYCLIC CODES OVER Z4 + wZ4
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In this paper, we study the structure of cyclic, quasi-cyclic and constacyclic codes over the finite ring R = Z4+wZ4 of order 16, where w2 = 2. Additionally, self-dual codes and their properties are discussed. Two Gray maps are defined to obtain linear codes over Z4. Gray images of cyclic, quasi-cyclic and constacyclic codes over R are examined under these maps. We present new linear codes over Z4 obtained from codes over R via each Gray map.
Abstract
In this paper, we study the structure of cyclic, quasi-cyclic and constacyclic codes over the finite ring R = Z4+wZ4 of order 16, where w2 = 2. Additionally, self-dual codes and their properties are discussed. Two Gray maps are defined to obtain linear codes over Z4. Gray images of cyclic, quasi-cyclic and constacyclic codes over R are examined under these maps. We present new linear codes over Z4 obtained from codes over R via each Gray map.
참고문헌 (16)
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