The \(GF(p)\)-dimension of the codes generated by the classical point-line geometries over \(GF(p)\)

DOI10.1007/BF01388481zbMath0772.94013MaRDI QIDQ1261006

Thomas Beth

Publication date: 29 August 1993

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

zbMATH Keywords

point-line geometriesmodular group algebranil-ideals\(GF(p)\)-codesincidence-geometry

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Linear codes and caps in Galois spaces (51E22) Combinatorial structures in finite projective spaces (51E20)

Related Items

The dimension of projective geometry codes ⋮ Bases of minimum-weight vectors for codes from designs

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
• The rank of the AG(2,n) incidence matrix over any prime field
• Eine Invariante endlicher Gruppen
• On a class of majority-logic decodable cyclic codes
• The Structure of the Group Ring of a p-Group Over a Modular Field