Discrete Mathematics Algorithms and Applications

Self-dual cyclic and quantum codes over ℤ2 × (ℤ2 + uℤ2)

İsmail Aydoğdu, Taher Abualrub

Published Jun 19, 2019• 8 citations

Abstract

In this paper, we introduce self-dual cyclic codes over the ring [Formula: see text]. We determine the conditions for any [Formula: see text]-cyclic code to be self-dual, that is, [Formula: see text]. Since the binary image of a self-orthogonal [Formula: see text]-linear code is also a self-orthogonal binary linear code, we introduce quantum codes over [Formula: see text]. Finally, we present some examples of self-dual cyclic and quantum codes that have good parameters.

DOI: 10.1142/s1793830919500411

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