Simple 3-designs of PSL(2, q) with block size 7

被引：0

作者：

Gong, Luozhong ^{[1
]}

Liu, Weijun ^{[1
]}

机构：

[1] Cent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R China

来源：

ARS COMBINATORIA | 2010年 / 95卷

基金：

中国国家自然科学基金;

关键词：

T-DESIGNS; LARGE SETS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper devotes to the investigation of 3-designs admitting the special projective linear group PSL(2, q) as an automorphism group. When q equivalent to 3 (mod 4), we determine all the possible values of lambda in the simple 3-(q + 1, 7, lambda) designs admitting PSL(2, q) as an automorphism group.

引用

页码：289 / 296

页数：8

共 50 条

[21] Flag-transitive 2-designs from PSL(2, q) with block size 4
Zhan, Xiaoqin
Ding, Suyun
Bai, Shuyi
DESIGNS CODES AND CRYPTOGRAPHY, 2019, 87 (11) : 2723 - 2728
[22] On simple 3-designs having 2-resolutions
Tran van Trung
DISCRETE MATHEMATICS, 2020, 343 (09)
[23] SYMMETRICAL DESIGNS WITH LAMBDA = 2 ADMITTING PSL(2,Q) FIXING A BLOCK
FANNING, JD
ARS COMBINATORIA, 1991, 31 : 165 - 170
[24] SOME SIMPLE HOMOGENEOUS 3-DESIGNS
BETH, T
JUNGNICKEL, D
MATHEMATISCHE ZEITSCHRIFT, 1983, 183 (04) : 443 - 445
[25] Existence of optimal strong partially balanced 3-designs with block size four
Lijun Ji
Zhengwu Dong
Designs, Codes and Cryptography, 2016, 79 : 19 - 36
[26] Existence of optimal strong partially balanced 3-designs with block size four
Ji, Lijun
Dong, Zhengwu
DESIGNS CODES AND CRYPTOGRAPHY, 2016, 79 (01) : 19 - 36
[27] 3-Designs from all Z4-Goethals-like codes with block size 7 and 8
Lahtonen, Jyrki
Ranto, Kalle
Vehkalahti, Roope
FINITE FIELDS AND THEIR APPLICATIONS, 2007, 13 (04) : 815 - 827
[28] ON THE SUPPORT SIZE OF 3-DESIGNS WITH REPEATED BLOCKS
MAHMOODIAN, ES
ARS COMBINATORIA, 1990, 30 : 13 - 22
[29] New simple 3-designs on 26 and 28 points
Bluskov, I
ARS COMBINATORIA, 1999, 51 : 313 - 318
[30] Block-transitive Steiner 3-designs on 2-transitive groups
Liu, Weijun
Lan, Ting
Yin, Fu-Gang
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,

← 1 2 3 4 5 →