Self-dual codes over GF(5)
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Publication:1163524
DOI10.1016/0097-3165(82)90019-XzbMath0483.94018MaRDI QIDQ1163524
N. J. A. Sloane, Vera S. Pless, Jeffrey S. Leon
Publication date: 1982
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
decompositionweight distributionminimum weightinvariant theorytotally isotropic subspacesself-orthogonal codegroup of monomial matrices
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear codes (general theory) (94B05) Quadratic and bilinear forms, inner products (15A63)
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Cites Work
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- Information sets in quadratic-residue codes
- An algorithm for computing the automorphism group of a Hadamard matrix
- On the enumeration of self-dual codes
- On the classification of integral even unimodular 24-dimensional quadratic forms
- Classification of 3-(24, 12, 5) designs and 24-dimensional Hadamard matrices
- On the enumeration of lattices of determinant one
- On weights in quadratic-residue codes
- Upper bounds for modular forms, lattices, and codes
- Codes with simple automorphism groups
- A classification of self-orthogonal codes over GF(2)
- Hadamard's determinant theorem and the sum of four squares
- On an Algorithm for Finding a Base and a Strong Generating Set for a Group Given by Generating Permutations
- On ternary self-dual codes of length 24
- Finite Permutation Groups and Finite Simple Groups
- Computing automorphism groups of error-correcting codes
- The covering radius of the Leech lattice
- Twenty-three constructions for the Leech lattice
- Semi-automorphisms of Hadamard matrices
- Self-Dual Codes over ${\text{GF}}( 3 )$
- The children of the (32, 16) doubly even codes
- Self-dual codes over<tex>GF(3)</tex>and<tex>GF(4)</tex>of length not exceeding 16
- Orthogonal Matrices with Zero Diagonal
- On the uniqueness of the Golay codes
- New 5-designs
- Automorphism groups of Hadamard matrices
- Automorphisms of Hadamard Matrices
- Generalizations of Gleason's theorem on weight enumerators of self-dual codes
- An upper bound for self-dual codes