On triple-sum-sets and two or three weights codes

DOI10.1016/0012-365X(84)90047-5zbMath0541.94027MaRDI QIDQ795016

Bernard Courteau, Jacques Wolfmann

Publication date: 1984

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

binary codesReed-Muller codeGolay codeperfect codeuniformly packed codeprojective codecoset leadertransposed codestriple-sum-sets

Mathematics Subject Classification ID

Combinatorial codes (94B25) Combinatorial aspects of packing and covering (05B40)

Related Items (20)

A construction of binary linear codes from Boolean functions ⋮ Several classes of binary linear codes and their weight enumerators ⋮ Three-weight minimal linear codes ⋮ Few-weight codes from trace codes over a local ring ⋮ Complete weight enumerators of a class of three-weight linear codes ⋮ A class of three-weight and five-weight linear codes ⋮ Two-weight and three-weight codes from trace codes over \(\mathbb{F}_p + u \mathbb{F}_p + v \mathbb{F}_p + u v \mathbb{F}_p\) ⋮ A unified construction of optimal and distance optimal two or three-weight codes ⋮ On strongly walk regular graphs, triple sum sets and their codes ⋮ Complete weight enumerators of two classes of linear codes ⋮ More constructions of 3-weight linear codes ⋮ Linear codes with few weights from weakly regular bent functions based on a generic construction ⋮ A kind of three-weight linear codes ⋮ All \(s\)-sum sets of type 2 or 3 are triple-sum sets ⋮ Two and three weight codes over \(\mathbb {F}_p+u\mathbb {F}_p\) ⋮ The structure of Schur rings over cyclic groups ⋮ Three-weight codes, triple sum sets, and strongly walk regular graphs ⋮ Linear codes with eight weights over \(\mathbb{F}_p+u\mathbb{F}_p\) ⋮ A class of codes admitting at most three nonzero dual distances ⋮ Three-weight codes over rings and strongly walk regular graphs

Cites Work

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• Codes projectifs à deux ou trois poids associes aux hyperquadriques d'une géométrie finie
• On ``bent functions
• Codes projectifs à deux poids, caps complets et ensembles de différences
• Partial difference sets and partially balanced weighing designs for calibration and tournaments
• Etude De Certains Paramètres Associés à Un Code Linéaire
• A characterization of N-weight projective codes (Corresp.)
• On the covering radius of binary codes (Corresp.)
• Power moment identities on weight distributions in error correcting codes

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