Additive and cyclic codes over ℤ2ℤ2[u]ℤ2[u,v]
Faezeh Vahedijoo, Kazem Khashyarmanesh
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Source: Crossref
Published: Oct 22, 2025
DOI: 10.1142/s1793830925501368
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In this paper, we study [Formula: see text]-additive cyclic codes, where [Formula: see text] and [Formula: see text]. These codes are identified as [Formula: see text]-submodule of the ring [Formula: see text] where [Formula: see text], [Formula: see text] and [Formula: see text] are positive integers. We study the algebraic structure of these codes and set of generator polynomials for this codes. We show that the duals of [Formula: see text]-additive cyclic codes are also [Formula: see text]-additive cyclic codes. Moreover, we obtain minimal spanning sets of [Formula: see text]-cyclic codes, [Formula: see text]-cyclic codes and also [Formula: see text]-cyclic codes. Furthermore, we provide some examples for [Formula: see text]-cyclic codes and their generating sets.
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