Association schemes based on attenuated spaces

DOI10.1016/j.ejc.2009.01.002zbMath1228.05321OpenAlexW1985155607MaRDI QIDQ1041204

Jun Guo, Kaishun Wang, Feng-Gao Li

Publication date: 1 December 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.01.002

zbMATH Keywords

bilinear forms graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (25)

Endomorphisms of twisted Grassmann graphs ⋮ The construction of LDPC codes based on the subspaces of singular linear space over finite field ⋮ Character tables of association schemes based on attenuated spaces ⋮ Newly deterministic construction of compressed sensing matrices via singular linear spaces over finite fields ⋮ Nontrivial t-Intersecting Families for Vector Spaces ⋮ Incidence matrices of finite attenuated spaces and class dimension of association schemes ⋮ Association schemes based on singular symplectic geometry over finite fields and its application ⋮ A \(Q\)-polynomial structure for the attenuated space poset \(\mathcal{A}_q (N, M)\) ⋮ Class dimension of association schemes in singular linear spaces ⋮ Association schemes based on the subspaces of type \((m, s, 0)\) in singular symplectic space over finite fields ⋮ Singular linear space and its applications ⋮ Erdős-Ko-Rado theorems in certain semilattices ⋮ Relation graphs of an association scheme based on attenuated spaces ⋮ Association schemes based on the subspaces of type \((2, 1, 0)\) in singular symplectic space over finite fields ⋮ The Hilton-Milner theorem for the distance-regular graphs of bilinear forms ⋮ Association schemes based on maximal isotropic subspaces in singular classical spaces ⋮ Suborbits of \((m,k)\)-isotropic subspaces under finite singular classical groups ⋮ The Hilton-Milner theorem for attenuated spaces ⋮ Anzahl theorems in geometry oft-singular classical groups and their applications ⋮ Error-correcting codes in attenuated space over finite fields ⋮ Cameron-Liebler sets in bilinear forms graphs ⋮ The attenuated space poset \(\mathcal{A}_q(N, M)\) ⋮ t-Singular Linear Spaces ⋮ Suborbits of \(m\)-dimensional totally isotropic subspaces under finite singular classical groups ⋮ Association schemes based on singular linear spaces and its applications

Cites Work

• A characterization of the association schemes of bilinear forms
• Bilinear forms over a finite field, with applications to coding theory
• Association schemes based on isotropic subspaces. I
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