Eigenvalues of association schemes of quadratic forms

被引：4

作者：

Feng, Rongquan ^{[1
,2
]}

Wang, Yangxian ^{[3
]}

Ma, Changli ^{[3
]}

Ma, Jianmin ^{[4
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

[2] CAS, Grad Sch, State Key Lab Informat Secur, Beijing 100039, Peoples R China

[3] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China

[4] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

来源：

DISCRETE MATHEMATICS | 2008年 / 308卷 / 14期

关键词：

association scheme; quadratic form; eigenvalue;

D O I：

10.1016/j.disc.2007.08.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The duality and primitivity of the association scheme Qua(n, q) of quadratic forms in n variables and the association scheme Sym(n, q) of symmetric bilinear forms in n variables over the finite field F-q are discussed by Wang et at. [Association schemes of quadratic forms and symmetric bilinear forms, J. Algebraic Combin. 17 (2003) 149-161]. In this paper, eigenvalues of Qua(n, q) are computed, where q is a power of 2. As an application, two fusion schemes of Qua(n, q) are discussed and their dual schemes are constructed. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：3023 / 3047

页数：25

共 50 条

[1] ASSOCIATION SCHEMES OF QUADRATIC-FORMS
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[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1985, 38 (01) : 1 - 14
[2] Association Schemes of Quadratic Forms and Symmetric Bilinear Forms
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