Quasi-symmetric \(2\text{-}(31,7,7)\) designs and a revision of Hamada's conjecture
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Publication:1104328
DOI10.1016/0097-3165(86)90009-9zbMath0647.05010OpenAlexW2051658996WikidataQ123244800 ScholiaQ123244800MaRDI QIDQ1104328
Publication date: 1986
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(86)90009-9
doubly even (32,16) codesdoubly even (48,24)nonisomorphic quasi-symmetric 2-(31,7,7) designsquasi-symmetric 2-(45,9,8) design
Combinatorial aspects of block designs (05B05) Combinatorial structures in finite projective spaces (51E20) Combinatorial codes (94B25)
Related Items (30)
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Cites Work
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- On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
- On the enumeration of self-dual codes
- On projective and affine hyperplanes
- Ranks of incidence matrices of t-designs \(S_\lambda (t,t+1,v)\)
- On the BIB design having the minimum p-rank
- Ranks of incidence matrices of Steiner triple systems
- Self-orthogonal Steiner systems and projective planes
- Strongly regular graphs, partial geometries and partially balanced designs
- Automorphisms of codes with applications to extremal doubly even codes of length 48
- On the p-rank of the design matrix of a difference set
- On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry
- On a class of majority-logic decodable cyclic codes
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