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Self-Dual Cyclic and Quantum Codes Over Z2^α x (Z2 + uZ2)^β (1711.03307v1)
Published 9 Nov 2017 in cs.IT and math.IT
Abstract: In this paper we introduce self-dual cyclic and quantum codes over Z2{\alpha} x (Z2 + uZ2){\beta}. 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{\alpha} x (Z2 + uZ2){\beta}. Finally, we present some examples of self-dual cyclic and quantum codes that have good parameters.