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

[21] Association schemes based on the subspaces of type (2,1,0) in singular symplectic space over finite fields
Wang, Rui
Gao, You
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 483 : 249 - 267
[22] Association schemes based on the subspaces of type (2,0,1) in singular symplectic space over finite fields
Gao, You
Xue, Yanyan
ARS COMBINATORIA, 2014, 116 : 101 - 119
[23] Constructions of (r, t)-LRC Based on Totally Isotropic Subspaces in Symplectic Space Over Finite Fields
Wang, Gang
Niu, Min-Yao
Fu, Fang-Wei
INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2020, 31 (03) : 327 - 339
[24] FORMULA FOR ACUTELY SYMMETRICAL BILINEAR SPACES WITH 4 MAXIMALLY TOTALLY ISOTROPIC SUBSPACES
SCHULTE, M
ARCHIV DER MATHEMATIK, 1980, 33 (05) : 411 - 414
[25] New construction of authentication codes with arbitration form based on pseudo-symplectic geometry
Institute of Science, Hebei University of Science and Technology, Shijiazhuang 050018, China
不详
不详
Shanghai Ligong Daxue Xuebao, 2008, 6 (567-572): : 567 - 572
[26] Association schemes based on singular linear spaces and its applications
Gao, You
Zhang, Xiaojuan
Xue, Yanyan
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 453 : 125 - 140
[27] Explicit pseudo-symplectic methods based on generating functions for stochastic Hamiltonian systems
Anton, Cristina
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 373 (373)
[28] Association schemes based on singular symplectic geometry over finite fields and its application
Gao, You
He, Yifan
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (01) : 549 - 558
[29] Suborbits of m-dimensional totally isotropic subspaces under finite singular classical groups
Guo, Jun
Wang, Kaishun
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (8-9) : 2063 - 2069
[30] The graphs induced by maximal totally isotropic flats of affine-unitary spaces
Gao, Suogang
Guo, Jun
FINITE FIELDS AND THEIR APPLICATIONS, 2009, 15 (02) : 185 - 194

← 1 2 3 4 5 →