2-Designs and Codes from Simple Groups L3(q) and Higman-Sims Sporadic Simple Group HS

被引：1

作者：

Moori, Jamshid ^{[1
]}

Radohery, Georges F. Randriafanomezantsoa ^{[2
]}

机构：

[1] North West Univ Mafikeng, Sch Math Sci, ZA-2375 Mmabatho, South Africa

[2] African Inst Math Sci, ZA-7945 Muizenberg, South Africa

来源：

CODING THEORY AND APPLICATIONS, 4TH INTERNATIONAL CASTLE MEETING | 2015年 / 3卷

关键词：

Designs; Codes; 2-transitive simple groups; Sylow subgroups; Maximal subgroups; DESIGNS;

D O I：

10.1007/978-3-319-17296-5_30

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We discuss the methods used in constructing designs and codes from the fixed points of the Sylow p-subgroups of the 2 points stabilizers in the 2-transitive permutation representation of finite groups. To illustrate the methods we apply them to the simple groups L-3(q) (q >= 3) and Higman-Sims sporadic simple group HS. This talked is based on the results included in an article entitled "2-designs and codes from 2-transitive simple groups" which is appearing in the Utilitas Mathematica.

引用

页码：281 / 289

页数：9

共 17 条

[1]

[Anonymous], 1994, 2 UPP MICH COMB WORK, DOI [10.1023/A:1027359905521, DOI 10.1023/A:1027359905521]

[2]

Assmus E. F. Jr., 1996, Designs, Codes and Cryptography, V9, P7, DOI 10.1023/A:1027359905521

[3]

Assmus Jr. E.F., 1992, CAMBRIDGE TRACTS MAT, V103

[4]

BANNAI E, 1971, OSAKA J MATH, V8, P437

[5] The Magma algebra system .1. The user language [J].

Bosma, W ;

Cannon, J ;

Playoust, C .

JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) :235-265

[6] A GLOBAL CODE INVARIANT UNDER THE HIGMAN-SIMS GROUP [J].

CALDERBANK, AR ;

WALES, DB .

JOURNAL OF ALGEBRA, 1982, 75 (01) :233-260

[7]

Cameron P. J, 1999, LOND MATH SOC STUDEN, V45

[8]

Conway J. H., 1985, ATLAS of Finite Groups

[9] ON T-DESIGNS AND GROUPS [J].

HUGHES, DR .

AMERICAN JOURNAL OF MATHEMATICS, 1965, 87 (04) :761-&

[10] CLASSIFICATION OF 2-TRANSITIVE SYMMETRIC DESIGNS [J].

KANTOR, WM .

GRAPHS AND COMBINATORICS, 1985, 1 (02) :165-166

← 1 2 →