LDPC codes generated by conics in the classical projective plane

DOI10.1007/s10623-006-0022-6zbMath1205.94119OpenAlexW1973242087MaRDI QIDQ851763

Sean V. Droms, Chris Meyer, Keith E. Mellinger

Publication date: 22 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10623-006-0022-6

zbMATH Keywords

LDPC codeProjective planeConic

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22)

Related Items (11)

Conics arising from internal points and their binary codes ⋮ Dimensions of some binary codes arising from a conic in \(\mathrm{PG}(2,q)\) ⋮ Some combinatorial aspects of constructing bipartite-graph codes ⋮ Proofs of two conjectures on the dimensions of binary codes ⋮ On binary codes from conics in \(\mathrm{PG}(2,q)\) ⋮ On the dual code of points and generators on the Hermitian variety \(\mathcal{H}(2n+1,q^2)\) ⋮ 2-ranks of incidence matrices associated with conics in finite projective planes ⋮ Somep-ranks related to a conic inPG(2,q) ⋮ A study of intersections of quadrics having applications on the small weight codewords of the functional codes \(C_2(Q)\), \(Q\) a non-singular quadric ⋮ Incidence matrices of finite quadratic spaces ⋮ Conics arising from external points and their binary codes

Uses Software

• Magma
• LDPC

Cites Work

• LDPC codes from triangle-free line sets
• Expander codes
• A recursive approach to low complexity codes
• Fundamentals of Error-Correcting Codes
• Low-density parity-check codes based on finite geometries: a rediscovery and new results
• Ovals In a Finite Projective Plane
• Unnamed Item
• Unnamed Item

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