Anzahl formulas of subspaces in symplectic spaces and their applications
type: Item
instance of: scholarly article
title: Anzahl formulas of subspaces in symplectic spaces and their applications
zbMATH Open document ID: 1271.51007
author: Jun Guo
author: Kaishun Wang
author: Fenggao Li
published in: Linear Algebra and its Applications
publication date: 2013-04-12T00:00:00Z
review text: Let \(\mathbb F_q^{2\nu}\) be the \(2\nu\)-dimensional symplectic space over the finite field \(\mathbb F_q\). In this paper, the authors focus on the computation of \(N(i;m,s;m_1,s_1;2\nu)\), the size of a family of special subspaces in \(\mathbb F_q^{2\nu}\), and discuss its applications to the constructions of Cartesian authentication codes, pooling designs and strongly regularized semilattices, respectively.
reviewed by: Nan Ji-Zhu
Mathematics Subject Classification ID: 51E30
Mathematics Subject Classification ID: 51D25
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 94A62
zbMATH DE Number: 6153412
zbMATH Keywords: symplectic subspaces
zbMATH Keywords: totally isotropic subspaces
zbMATH Keywords: non-isotropic subspaces
zbMATH Keywords: Cartesian authentication codes
zbMATH Keywords: pooling designs
zbMATH Keywords: strongly regularized semilattices
MaRDI profile type: Publication
full work available at URL: j.laa.2012.12.008
OpenAlex ID: W2111052964
cites work: Erdös–Ko–Rado Theorem—22 Years Later
cites work: Q5395177
cites work: INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
cites work: Authentication codes and bipartite graphs
cites work: Codes Which Detect Deception
cites work: Erdős-Ko-Rado theorems in certain semilattices
cites work: A construction of pooling designs with surprisingly high degree of error correction
cites work: Pooling designs with surprisingly high degree of error correction in a finite vector space
cites work: Constructing error-correcting pooling designs with symplectic space
cites work: A simple construction of \(d\)-disjunct matrices with certain constant weights
cites work: New constructions of non-adaptive and error-tolerance pooling designs
cites work: Q4004196
cites work: A generalization of the Erdős-Ko-Rado theorem to \(t\)-designs in certain semilattices
cites work: Construction of Cartesian authentication codes from unitary geometry
cites work: Singular linear space and its applications
DOI: 10.1016/J.LAA.2012.12.008
description: scientific article; zbMATH DE number 6153412