LCD and Self-Orthogonal Group Codes in a Finite Abelian $p$ -Group Algebra

DOI10.1109/TIT.2019.2923758zbMath1448.94267OpenAlexW2952598171MaRDI QIDQ5123889

Yansheng Wu, Fengwei Li, Qin Yue

Publication date: 29 September 2020

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2019.2923758

zbMATH Keywords

group algebraprimitive idempotentslinear code with complementary dual (LCD) abelian codesminimal abelian group codesself-orthogonal abelian codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (5)

On equivalent classes of minimal abelian codes ⋮ Idempotents of generalized quaternion group algebras and their applications ⋮ LCD codes and self-orthogonal codes in generalized dihedral group algebras ⋮ Construction of MDS twisted Reed-Solomon codes and LCD MDS codes ⋮ On \(\ast\)-clean group rings over finite fields

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