Quadratic residue codes and symplectic groups
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Publication:1393383
DOI10.1016/0021-8693(74)90120-3zbMath0276.94002OpenAlexW2030175764MaRDI QIDQ1393383
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
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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