Hadamard matrices and doubly even self-dual error-correcting codes

DOI10.1016/0097-3165(87)90034-3zbMath0616.94013OpenAlexW2004129787MaRDI QIDQ1821759

Michio Ozeki

Publication date: 1987

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(87)90034-3

zbMATH Keywords

Hadamard matricesHadamard designsdoubly-even self-dual codes

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial codes (94B25)

Related Items

Examples of even unimodular extremal lattices of rank 40 and their Siegel theta-series of degree 2 ⋮ Weight enumerators, intersection enumerators, and Jacobi polynomials ⋮ Self-orthogonal designs and extremal doubly even codes ⋮ Type I and Type II codes over the ring 𝔽2 + u𝔽2 + v𝔽2 + uv𝔽2 ⋮ Constructing self-dual codes using graphs ⋮ On covering radii and coset weight distributions of extremal binary self-dual codes of length 40 ⋮ Self-dual codes from orbit matrices and quotient matrices of combinatorial designs ⋮ Extremal doubly-even self-dual codes from Hadamard matrices ⋮ A gluing technique for constructing relatively self-dual codes

Cites Work

• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• New 5-designs
• Is there a (72,36) d = 16 self-dual code? (Corresp.)
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