A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes (Q2089198)
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scientific article; zbMATH DE number 7597364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes |
scientific article; zbMATH DE number 7597364 |
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A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes (English)
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6 October 2022
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In the paper under review, the authors first studied \(\Lambda\)-constacyclic codes and then extended to skew \(\Lambda\)-constacyclic codes of length \(n\) over some class of finite commutative non-chain rings \(\mathcal{A}_{q,r}\). As a consequence, many quantum codes were determined via these codes by using Hermitian construction. Finally, a comparaison between the obtained codes and the best-known codes available in the literature is discussed.
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non-chain ring
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constacyclic code
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skew constacyclic code
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Gray map
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Hermitian construction
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quantum code
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