A restriction on the weight enumerator of a self-dual code

DOI10.1016/0097-3165(76)90071-6zbMath0341.94004OpenAlexW1971177139MaRDI QIDQ1231890

Harold N. Ward

Publication date: 1976

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(76)90071-6

Mathematics Subject Classification ID

Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (8)

Weight distributions of linear codes and the Gleason-Pierce theorem ⋮ \(\mathbb Z_2\mathbb Z_4\)-additive formally self-dual codes ⋮ Extremal self‐dual lattices exist only in dimensions 1 to 8, 12, 14, 15, 23, and 24 ⋮ On the classification and enumeration of self-dual codes ⋮ Self-dual codes over GF(4) ⋮ The existence of a self-dual \([70 ,35 ,12\) code and formally self-dual codes.] ⋮ On the nonexistence of extremal self-dual codes ⋮ On designs and formally self-dual codes

Cites Work

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• Upper bounds for modular forms, lattices, and codes
• Quadratic residue codes and symplectic groups
• An upper bound for self-dual codes

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