On weights in quadratic-residue codes

DOI10.1016/0012-365X(72)90021-0zbMath0305.94013OpenAlexW1984086498MaRDI QIDQ1217770

H. F. jun. Mattson, Edward F. jun. Assmus

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0012-365x(72)90021-0

Mathematics Subject Classification ID

Arithmetic codes (94B40)

Related Items

On minimum weight codewords in QR codes ⋮ Algebraic theory of block codes detecting independent errors ⋮ Self-dual codes over GF(5) ⋮ Contractions of self-orthogonal codes ⋮ Self-dual codes over GF(4) ⋮ On circulant self-dual codes over small fields ⋮ Optimal linear codes over \(\mathrm{GF}(4)\)

Cites Work

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• Perfect codes and the Mathieu groups
• Good self dual codes exist
• A New Treatment of Bose-Chaudhuri Codes
• New 5-designs
• Coding theory and the Mathieu groups
• On Finding Low Weight Vectors in Quadratic Residue Codes for $p = 8m - 1$