A class of generalized symplectic graphs based on totally isotropic subspaces in symplectic spaces over finite fields

被引：0

作者：

Huo, Lijun ^{[1
]}

Cheng, Weidong ^{[2
]}

机构：

[1] Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China

[2] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China

来源：

FILOMAT | 2024年 / 38卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Generalized symplectic graph; Symplectic space; Distance; d-Deza graph; Subconstituent; SUBCONSTITUENTS;

D O I：

10.2298/FIL2410651H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F(q )be a finite field of order q and F-q((2 nu)) be a 2 nu-dimensional symplectic space. In the present paper, we study a class of generalized symplectic graphs Gamma based on m-dimensional totally isotropic subspaces in F-q((2 nu)). It is shown that Gamma is vertex -transitive, and it is a 5-Deza graph with diameter m + 1. Moreover, we determine the parameters concerning the first subconstituent Gamma(1) and it is shown that Gamma(1) is also a 5-Deza graph.

引用

页码：3651 / 3663

页数：13

共 13 条

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[8] Lattices Generated by Subspaces under Symplectic Group over a Finite Field
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[9] On the stopping distance of LDPC codes based on symplectic space over finite fields
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[10] Constructions of 11/2-designs from Symplectic Geometry over Finite Fields
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Acta Mathematica Sinica,English Series, 2015, (09) : 1367 - 1378

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