Cyclic quasi-symmetric designs and self-orthogonal codes of length 63

DOI10.1016/j.jspi.2007.05.022zbMath1243.05044OpenAlexW2052112315MaRDI QIDQ2474408

Chekad Sarami, Vladimir D. Tonchev

Publication date: 6 March 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2007.05.022

zbMATH Keywords

finite geometrycyclic codequasi-symmetric design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Cyclic codes (94B15)

Cites Work

• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• Quasi-symmetric designs and self-dual codes
• Quasi-symmetric \(2\text{-}(31,7,7)\) designs and a revision of Hamada's conjecture
• On the enumeration of self-dual codes
• On projective and affine hyperplanes
• Exponential number of quasi-symmetric SDP designs and codes meeting the Grey-Rankin bound
• On the BIB design having the minimum p-rank
• Ranks of incidence matrices of Steiner triple systems
• Symmetric \((4,4)\)-nets and generalized Hadamard matrices over groups of order 4
• Some characterizations of quasi-symmetric designs with a spread
• A new quasi-symmetric 2-(56,\,16,\,6) design obtained from codes
• The existence of extremal self-dual [50,25,10 codes and quasi-symmetric 2-(49,9,6) designs]
• A characterization of designs related to an extremal doubly-even self-dual code of length 48
• Fundamentals of Error-Correcting Codes
• A class of majority logic decodable codes (Corresp.)
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