On the rank of incidence matrices for points and lines of finite affine and projective geometries over a field of four elements

DOI10.1134/S0032946014010050zbMath1320.51004MaRDI QIDQ2262994

M. E. Kovalenko, T. A. Urbanovich

Publication date: 17 March 2015

Published in: Problems of Information Transmission (Search for Journal in Brave)

zbMATH Keywords

incidence matrixpointslinesfinite affine and projective geometries

Mathematics Subject Classification ID

General theory of linear incidence geometry and projective geometries (51A05) Incidence structures embeddable into projective geometries (51A45)

Related Items (1)

Zero-one laws for random distance graphs with vertices in \(\{0,1\}^n\)

Cites Work

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• Steiner triple systems \(S(2^m-1,3,2)\) of rank \(2^m-m+1\) over \(\mathbb F_2\)
• Steiner systems \(S(v, k, k - 1)\): components and rank
• Polarities, quasi-symmetric designs, and Hamada's conjecture
• The \(\mathbb{F}_p\) span of the incidence matrix of a finite projective plane
• Difference-Set Cyclic Codes
• On the Number of Information Symbols in Difference-Set Cyclic Codes
• On the p-rank of the design matrix of a difference set
• On a class of majority-logic decodable cyclic codes

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