A new construction of the binary Golay code (24, 12, 8) using a group algebra over a finite field
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Publication:1145123
DOI10.1016/0012-365X(80)90147-8zbMath0444.94023OpenAlexW2094818452MaRDI QIDQ1145123
Publication date: 1980
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0012-365x(80)90147-8
Related Items (13)
Reconstructing the ternary Golay code ⋮ On asymmetric representations of \(\text{GF}(q^ m)\) and self-dual codes ⋮ A group algebra construction of binary even self dual codes ⋮ Définition et caractérisation d'une dimension minimale pour les codes principaux nilpotents d'une algèbre modulaire de p-groupe abélien élémentaire. (Definition and characterization of a minimal dimension for the nilpotent principal codes of a modular algebra of the elementary Abelian p-group) ⋮ Self-dual codes which are principal ideals of the group algebra \(\mathbb{F}_ 2[\{\mathbb{F}_{2^ m},+\}\)] ⋮ A SPECIAL CLASS OF QUASI-CYCLIC CODES ⋮ The binary GOLAY code obtained from an extended cyclic code over \(\mathbb{F}_8\) ⋮ Binary images of some self-dual codes over GF(\(2^ m)\) with respect to trace-orthogonal basis ⋮ The extended Golay codes considered as ideals ⋮ Minimum Lee weights of type II codes over \(\mathbb F_{2^r}\) ⋮ On a class of abelian codes ⋮ A description of some extended cyclic codes with application to Reed- Solomon codes ⋮ A class of doubly even self dual binary codes
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