Abstract

MEHRY, Shahram. On quantum codes from codes over R _m. Rev.colomb.mat. [online]. 2022, vol.56, n.1, pp.77-91.  Epub Feb 02, 2024. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v56n1.105620.

Let R m = Fq[y]/<y m - 1>, where m | q - 1. In this paper, we obtain the structure of linear and cyclic codes over R m . Also, we introduce a preserving-orthogonality Gray map from R m to F m q . Among the main results, we obtain the exact structure of self-orthogonal cyclic codes over R m to introduce parameters of quantum codes from cyclic codes over R m .

Keywords : Self-orthogonal codes; Cyclic codes; Quantum codes.

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