Codes on finite geometries

DOI10.1109/TIT.2004.840867zbMath1287.94124OpenAlexW2150972708MaRDI QIDQ3547694

Jun Xu, Khaled A. S. Abdel-Ghaffar, Shu Lin, Heng Tang

Publication date: 21 December 2008

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2004.840867

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Linear codes and caps in Galois spaces (51E22) Majority codes (94B30) Coding theorems (Shannon theory) (94A24)

Related Items (10)

LDPC codes from the Hermitian curve ⋮ On the stopping distance of LDPC codes based on symplectic space over finite fields ⋮ Two classes of LDPC codes from the space of Hermitian matrices over finite fields ⋮ 2ℓ-Incorrigible set distributions of some linear codes by the finite geometry ⋮ Some combinatorial aspects of constructing bipartite-graph codes ⋮ Codes and caps from orthogonal Grassmannians ⋮ On generator matrices and parity check matrices of generalized integer codes ⋮ Absorbing sets of codes from finite geometries ⋮ Moderate-density parity-check codes from projective bundles ⋮ On generator and parity-check polynomial matrices of generalized quasi-cyclic codes

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