2-ranks of incidence matrices associated with conics in finite projective planes

DOI10.1007/s10623-012-9772-5zbMath1334.51005OpenAlexW2023853819MaRDI QIDQ2248650

Megan Adams, Junhua Wu

Publication date: 27 June 2014

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

Full work available at URL: https://doi.org/10.1007/s10623-012-9772-5

zbMATH Keywords

incidence matrixconicmodule2-ranklow-density parity-check LDPC-code

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial structures in finite projective spaces (51E20)

Related Items (1)

Conics arising from internal points and their binary codes

Cites Work

• On binary codes from conics in \(\mathrm{PG}(2,q)\)
• LDPC codes generated by conics in the classical projective plane
• Dimensions of some binary codes arising from a conic in \(\mathrm{PG}(2,q)\)
• Proofs of two conjectures on the dimensions of binary codes
• Hexagons, Conics, A₅ and PSL₂ (K )
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