Designs with the symmetric difference property on 64 points and their groups

DOI10.1016/0097-3165(94)90002-7zbMath0813.05010OpenAlexW1990212237MaRDI QIDQ1331141

Christopher Parker, Vladimir D. Tonchev, Spence, Edward

Publication date: 17 May 1995

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(94)90002-7

zbMATH Keywords

symmetric designautomorphism groupsdifference setbinary coderesidual designssymmetric difference propertySDP designsymmetric SDP design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Bounds on codes (94B65) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (11)

CONSTRUCTION OF SOME UNIMODULAR LATTICES WITH LONG SHADOWS ⋮ On quasi-symmetric 2-(28, 12, 11) and 2-(36, 16, 12) designs ⋮ Switching for 2-designs ⋮ Abelian difference sets with the symmetric difference property ⋮ Quasi-symmetric \(2\)-\((28,12,11)\) designs with an automorphism of order \(5\) ⋮ On binary self-complementary [120, 9, 56 codes having an automorphism of order 3 and associated SDP designs] ⋮ On some combinatorial structures constructed from the groups \(L(3, 5), U(5, 2)\), and \(S(6, 2)\) ⋮ Extremal unimodular lattices in dimension 36 ⋮ New quasi-symmetric designs by the Kramer-Mesner method ⋮ Quasi-symmetric designs, codes, quadrics, and hyperplane sections ⋮ On the \([28,7,12\) binary self-complementary codes and their residuals]

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential numbers of two-weight codes, difference sets and symmetric designs
• Exponential number of quasi-symmetric SDP designs and codes meeting the Grey-Rankin bound
• On symmetric and quasi-symmetric designs with the symmetric difference property and their codes
• Quasi-symmetric designs and biplanes of characteristic three
• Symplectic groups, symmetric designs, and line ovals
• Codes projectifs à deux poids, caps complets et ensembles de différences
• Quasi-symmetric designs, codes, quadrics, and hyperplane sections
• On the \([28,7,12\) binary self-complementary codes and their residuals]
• The Geometry of Two-Weight Codes
• Regular 2-Graphs

This page was built for publication: Designs with the symmetric difference property on 64 points and their groups