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Self-Dual Cyclic and Quantum Codes Over Z2^α x (Z2 + uZ2)^β
Ismail Aydogdu, Taher Abualrub · 2017-11-09 · via cs.IT updates on arXiv.org

In this paper we introduce self-dual cyclic and quantum codes over Z2^α x (Z2 + uZ2)^β. We determine the conditions for any Z2Z2[u]-cyclic code to be self-dual, that is, C = C^{\perp}. Since the binary image of a self-orthogonal Z2Z2[u]-linear code is also a self-orthogonal binary linear code, we introduce quantum codes over Z2^α x (Z2 + uZ2)^β. Finally, we present some examples of self-dual cyclic and quantum codes that have good parameters.

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