A lower bound for the minimum weight of the dual 7-ary code of a projective plane of order 49

DOI10.1007/s10623-007-9072-7zbMath1146.94013OpenAlexW2063720100MaRDI QIDQ996193

Fidele F. Ngwane, Jennifer D. Key

Publication date: 13 September 2007

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9072-7

zbMATH Keywords

CodeProjective planesDual codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22)

Related Items (2)

Embedded antipodal planes and the minimum weight of the dual code of points and lines in projective planes of order \(p^2\) ⋮ An upper bound for the minimum weight of the dual codes of desarguesian planes

Cites Work

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• The \(\mathbb{F}_p\) span of the incidence matrix of a finite projective plane
• A computer search for finite projective planes of order 9
• The translation planes of order twenty-five
• Hyperovals and unitals in Figueroa planes
• The translation planes of order 49
• Small sets of even type and codewords
• On sets without tangents in Galois planes of even order
• On \((q+t,t)\)-arcs of type \((0,2,t)\)
• An upper bound for the minimum weight of dual codes of Figueroa planes
• Dual codes of translation planes
• On some finite non-desarguesian planes
• On (q + t)-arcs of type (0, 2, t) in a desarguesian plane of order q
• Dual codes of projective planes of order 25
• Ternary dual codes of the planes of order nine

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