Self-orthogonal designs and extremal doubly even codes
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Publication:908922
DOI10.1016/0097-3165(89)90030-7zbMath0694.05012OpenAlexW2088236202MaRDI QIDQ908922
Publication date: 1989
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(89)90030-7
Related Items (17)
New extremal doubly-even [64,32,12 codes] ⋮ New extremal doubly-even codes of length 56 derived from Hadamard matrices of order 28 ⋮ Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of \(M_{11}\) ⋮ Construction of extremal type II \(\mathbb{Z}_{2 k}\)-codes ⋮ Extremal doubly-even codes of length 40 derived from Hadamard matrices of order 20 ⋮ Extremal doubly-even codes of length 64 derived from symmetric designs ⋮ Type I and Type II codes over the ring 𝔽2 + u𝔽2 + v𝔽2 + uv𝔽2 ⋮ An introduction to cocyclic generalised Hadamard matrices ⋮ Self-dual codes and Hadamard matrices ⋮ Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes ⋮ Almost all self-dual codes are rigid ⋮ On the classification and enumeration of self-dual codes ⋮ On self-orthogonal designs and codes related to Held's simple group ⋮ Unnamed Item ⋮ Extremal doubly-even self-dual codes from Hadamard matrices ⋮ Circuits for robust designs ⋮ On Pless symmetry codes, ternary QR codes, and related Hadamard matrices and designs
Cites Work
- On primes dividing the group order of a doubly-even \((72,36,16)\) code and the group order of a quaternary \((24,12,10)\) code
- Hadamard matrices and doubly even self-dual error-correcting codes
- Automorphisms of codes with applications to extremal doubly even codes of length 48
- (v, k, λ) Configurations and self-dual codes
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