Association schemes based on maximal totally isotropic subspaces in singular pseudo-symplectic spaces

被引：11

作者：

Guo, Jun ^{[3
]}

Wang, Kaishun ^{[1
,2
]}

Li, Fenggao ^{[4
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Beijing Normal Univ, Lab Math Com Sys, Beijing 100875, Peoples R China

[3] Langfang Teachers Coll, Math & Inf Coll, Langfang 065000, Peoples R China

[4] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Hunan, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 431卷 / 10期

关键词：

Association scheme; Singular pseudo-symplectic space; Maximal totally isotropic subspace;

D O I：

10.1016/j.laa.2009.06.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper provides some new families of symmetric association schemes based on maximal totally isotropic subspaces in (singular) pseudo-symplectic spaces. All intersection numbers of these schemes are computed. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1898 / 1909

页数：12

共 44 条

[1] Association schemes based on maximal isotropic subspaces in singular classical spaces
Guo, Jun
Wang, Kaishun
Li, Fenggao
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (2-3) : 747 - 755
[2] Bounds on subspace codes based on subspaces of type (s, 0, 0, 0) in pseudo-sympletic spaces and singular pseudo-symplectic spaces
Gao, You
Gao, Jinru
Wang, Gang
APPLIED MATHEMATICS AND COMPUTATION, 2021, 407
[3] Association schemes based on subspaces in singular unitary spaces
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UTILITAS MATHEMATICA, 2018, 109 : 83 - 103
[4] Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups II
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FINITE FIELDS AND THEIR APPLICATIONS, 2009, 15 (03) : 360 - 374
[5] A class of generalized symplectic graphs based on totally isotropic subspaces in symplectic spaces over finite fields
Huo, Lijun
Cheng, Weidong
FILOMAT, 2024, 38 (10) : 3651 - 3663
[6] Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups I
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Xu, Juan
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (09) : 1455 - 1476
[7] Pseudo-symplectic numerical schemes for Landau-Lifshitz dynamics
d'Aquino, M.
Capuano, F.
Coppola, G.
Serpico, C.
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PHYSICA B-CONDENSED MATTER, 2018, 549 : 98 - 101
[8] Bounds on subspace codes based on totally isotropic subspace in symplectic spaces and extended symplectic spaces
Poroch, Mahdieh Hakimi
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (05)
[9] Association schemes based on isotropic subspaces, Part 1
Rieck, MQ
DISCRETE MATHEMATICS, 2005, 298 (1-3) : 301 - 320
[10] Bounds on subspace codes based on totally isotropic subspaces in unitary spaces
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Zhao, Liyum
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DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2016, 8 (04)

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