Anzahl formulas of subspaces in symplectic spaces and their applications

DOI10.1016/j.laa.2012.12.008zbMath1271.51007OpenAlexW2111052964MaRDI QIDQ1947093

Jun Guo, Kaishun Wang, Feng-Gao Li

Publication date: 12 April 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.12.008

zbMATH Keywords

pooling designstotally isotropic subspacesnon-isotropic subspacesCartesian authentication codesstrongly regularized semilatticessymplectic subspaces

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Other designs, configurations (05B30) Authentication, digital signatures and secret sharing (94A62) Other finite incidence structures (geometric aspects) (51E30) Lattices of subspaces and geometric closure systems (51D25)

Related Items (1)

Non-trivial \(t\)-intersecting families for symplectic polar spaces

Cites Work

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• A generalization of the Erdős-Ko-Rado theorem to \(t\)-designs in certain semilattices
• A construction of pooling designs with surprisingly high degree of error correction
• Constructing error-correcting pooling designs with symplectic space
• Singular linear space and its applications
• Pooling designs with surprisingly high degree of error correction in a finite vector space
• Authentication codes and bipartite graphs
• Construction of Cartesian authentication codes from unitary geometry
• A simple construction of \(d\)-disjunct matrices with certain constant weights
• Erdős-Ko-Rado theorems in certain semilattices
• Erdös–Ko–Rado Theorem—22 Years Later
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Codes Which Detect Deception
• New constructions of non-adaptive and error-tolerance pooling designs

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