Three-class association schemes on Galois rings in characteristic 4

被引：4

作者：

Ma, Jianmin ^{[1
]}

机构：

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

来源：

GRAPHS AND COMBINATORICS | 2007年 / 23卷 / 01期

关键词：

association scheme; fusion scheme; Galois ring;

D O I：

10.1007/s00373-006-0667-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Small feasible parameters for "nontrivial'' symmetric three-class association schemes were listed in a paper of van Dam. This work addresses the question of existence for three-class association schemes on 4(n) vertices. Several families of three-class symmetric schemes are constructed in association schemes of Galois rings of characteristic 4.

引用

页码：73 / 86

页数：14

共 50 条

[1] Three-Class Association Schemes on Galois Rings in Characteristic 4
Jianmin Ma
[J]. Graphs and Combinatorics, 2007, 23 : 73 - 86
[2] Three-class association schemes
[J]. J Algebraic Combinatorics, 1 (69-107):
[3] Three-Class Association Schemes
Edwin R. Van Dam
[J]. Journal of Algebraic Combinatorics, 1999, 10 : 69 - 107
[4] Three-class association schemes
Van Dam, ER
[J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 1999, 10 (01) : 69 - 107
[5] AMORPHOUS ASSOCIATION SCHEMES OVER THE GALOIS RINGS OF CHARACTERISTIC-4
ITO, T
MUNEMASA, A
YAMADA, M
[J]. EUROPEAN JOURNAL OF COMBINATORICS, 1991, 12 (06) : 513 - 526
[6] Three-class association schemes from cyclotomy
Feng, Tao
Momihara, Koji
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2013, 120 (06) : 1202 - 1215
[7] The Terwilliger algebras of certain association schemes over the Galois rings of characteristic 4
Ishibashi, H
[J]. GRAPHS AND COMBINATORICS, 1996, 12 (01) : 39 - 54
[8] Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4
Ikuta, Takuya
Munemasa, Akihiro
[J]. SPECIAL MATRICES, 2018, 6 (01): : 1 - 10
[9] Three-class association schemes from partial geometric designs
Qu, Jing
Lei, Jianguo
[J]. DISCRETE MATHEMATICS, 2021, 344 (04)
[10] A Family of Partial Geometric Designs from Three-Class Association Schemes
Nowak, Kathleen
Olmez, Oktay
Song, Sung Y.
[J]. JOURNAL OF COMBINATORIAL DESIGNS, 2016, 24 (12) : 533 - 552

← 1 2 3 4 5 →