The dimension of projective geometry codes

DOI10.1016/0012-365X(92)90538-QzbMath0754.94016OpenAlexW1996231332MaRDI QIDQ1199590

J. W. P. Hirschfeld, Pier Vittorio Ceccherini

Publication date: 16 January 1993

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(92)90538-q

zbMATH Keywords

incidence matrixfinite projective spacedual line code

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial structures in finite projective spaces (51E20)

Related Items (5)

The linear codes of \(t\)-designs held in the Reed-Muller and simplex codes ⋮ On the classification of geometric codes by polynomial functions ⋮ Divisible arcs, divisible codes, and the extension problem for arcs and codes ⋮ Codes and pseudo-geometric designs from the ternary \(m\)-sequences with Welch-type decimation \(d = 2 \cdot 3^{(n -1)/2} + 1\) ⋮ Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes

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
• Sets of even type in PG(3,4), alias the binary (85,24) projective geometry code
• A characterization of the primals in \(PG(m,2)\)
• The \(GF(p)\)-dimension of the codes generated by the classical point-line geometries over \(GF(p)\)
• On Sets with Only Odd Secants in Geometries over GF(4)
• 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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