On the non-existence of a projective (75, 4, 12, 5) set in PG(3, 7)

DOI10.1007/s00022-010-0041-3zbMath1228.05308OpenAlexW1984848208MaRDI QIDQ601735

James A. Davis, Aaron C. S. Chan, Jonathan Jedwab

Publication date: 29 October 2010

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-010-0041-3

zbMATH Keywords

Griesmer boundlinear codeconjugacy classprojective setinteger linear programcentraliserrational canonical formprescribed automorphism groupprojective codetwo-weightcode

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Combinatorial aspects of finite geometries (05B25) Group actions on combinatorial structures (05E18)

Related Items (2)

Three different names of a 15 - set of type (3, 6)₂ in PG(3, 3) ⋮ On sets of type \((m,m+q)_2\) in \(\mathrm{PG}(3,q)\)

Uses Software

• GLPK

Cites Work

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• Optimal Linear Codes From Matrix Groups
• The Geometry of Two-Weight Codes
• Fundamentals of Error-Correcting Codes
• Algebraically punctured cyclic codes
• A Bound for Error-Correcting Codes

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