On group codes with complementary duals

DOI10.1007/s10623-017-0437-2zbMath1411.94097OpenAlexW2770686771MaRDI QIDQ1650814

Javier de la Cruz, Wolfgang Willems

Publication date: 13 July 2018

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-017-0437-2

zbMATH Keywords

cyclic codeprojective moduleself-dual codegroup codeLCD code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Cyclic codes (94B15)

Related Items

On the dimension of ideals in group algebras, and group codes ⋮ Idempotents of generalized quaternion group algebras and their applications ⋮ A note on linear complementary pairs of group codes ⋮ Divisibility of weights for ideals in group algebras ⋮ A note on checkable codes over Frobenius and quasi-Frobenius rings ⋮ LCD codes arising from wavelets ⋮ LCD codes and self-orthogonal codes in generalized dihedral group algebras ⋮ On idempotents of a class of commutative rings ⋮ Linear complementary pairs of codes over rings ⋮ LCD codes and self-orthogonal codes in finite dihedral group algebras ⋮ Rank-metric complementary dual codes ⋮ On checkable codes in group algebras

Cites Work

• Quadratic geometries, projective modules, and idempotents
• A new presentation of Cheng-Sloane's \([32,17,8\)-code]
• A [45,13 code with minimal distance 16]
• The extended Golay codes considered as ideals
• Linear codes with complementary duals
• Classical codes as ideals in group algebras
• The condition for a cyclic code to have a complementary dual
• Linear codes with complementary duals meet the Gilbert-Varshamov bound
• Complementary Dual Codes for Counter-Measures to Side-Channel Attacks
• Searching for linear codes with large minimum distance
• A note on self-dual group codes
• Reversible codes
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