Conics arising from external points and their binary codes

DOI10.1007/s10623-014-0013-yzbMath1354.51014OpenAlexW2003812431MaRDI QIDQ5963368

Adonus L. Madison, Junhua Wu

Publication date: 19 February 2016

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

Full work available at URL: https://doi.org/10.1007/s10623-014-0013-y

zbMATH Keywords

incidence matrixdimensionorbitconicexternal points

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes and caps in Galois spaces (51E22) Combinatorial structures in finite projective spaces (51E20)

Related Items

Simultaneous diagonalization of conics in \(\mathrm{PG}(2,q)\). A finite-geometry approach for simultaneous diagonalization of symmetric \(3\times 3\) matrices in \(\mathrm{GF}(q)\)

Uses Software

• Magma

Cites Work

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• On binary codes from conics in \(\mathrm{PG}(2,q)\)
• LDPC codes generated by conics in the classical projective plane
• The Magma algebra system. I: The user language
• Conics arising from internal points and their binary codes
• On the mutual position of two irreducible conics in PG(2, q), q odd
• Low-density parity-check codes based on finite geometries: a rediscovery and new results