Quadratic residue codes and symplectic groups

DOI10.1016/0021-8693(74)90120-3zbMath0276.94002OpenAlexW2030175764MaRDI QIDQ1393383

Harold N. Ward

Publication date: 1974

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90120-3

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Representations of finite symmetric groups (20C30) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (13)

Commutative Nilpotent Closed Algebras and Weil Representations ⋮ The automorphism groups of Reed-Solomon codes ⋮ Lattices and association schemes: a unimodular example in dimension 28 ⋮ Codes with prescribed permutation group ⋮ A global code invariant under the Higman-Sims group ⋮ Unimodular Hermitian lattices in dimension 13. ⋮ Quadratic residue codes in their prime ⋮ Extraspecial towers and Weil representations ⋮ A restriction on the weight enumerator of a self-dual code ⋮ Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers ⋮ Split codes and the Mathieu groups ⋮ Multiplying Vectors in Binary Quadratic Residue Codes ⋮ Generalized residue and t-residue codes and their idempotent generators

Cites Work

• Note on the Mathieu group \(M_{12}\)
• Perfect codes and the Mathieu groups
• Representations of symplectic groups
• Characters of Solvable and Symplectic Groups
• New binary coding results by circulants
• On the uniqueness of the Golay codes
• New 5-designs
• Reachable sets for linear dynamical systems
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