3-DESIGNS FROM PSL(2,q) WITH q ≡ 1 (mod 4)

被引：0
|
作者：
Chen, Jing [1 ]
Liu, Wei Jun [1 ]
机构：
[1] Cent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R China
来源：
UTILITAS MATHEMATICA | 2012年 / 88卷
基金：
中国国家自然科学基金;
关键词：
LARGE SETS; PSL(2,2(N)); DESIGNS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the action of the group PSL(2, g) on the finite projective line GF(q) boolean OR {infinity} when q is a prime power congruent to 1 modulo 4 and construct several simple 3-(q+1,5, lambda) designs admitting PS L(2, q) as an automorphism group. Most of these designs with the given parameter sets were previously unknown.
引用
收藏
页码：211 / 222
页数：12
相关论文
共 31 条
  • [1] Simple 3-designs of PSL(2, q) with block size 7
    Gong, Luozhong
    Liu, Weijun
    ARS COMBINATORIA, 2010, 95 : 289 - 296
  • [2] Designs and codes from PSL2(q)
    Moori, J.
    GROUP THEORY, COMBINATORICS, AND COMPUTING, 2014, 611 : 137 - 149
  • [3] 3-Spontaneous Emission Error Designs from PSL<bold>(2, q)</bold> or PGL<bold>(2, q)</bold>
    Zhou, Junling
    Chang, Yanxun
    JOURNAL OF COMBINATORIAL DESIGNS, 2016, 24 (05) : 234 - 245
  • [4] Simple 3-designs of PSL(2, 2n) with block size 8
    Gong, Luozhong
    Fan, Guobing
    UTILITAS MATHEMATICA, 2018, 106 : 3 - 9
  • [5] Some Infinite Classes of Optimal (v, {3, 4}, 1, Q)-OOCs with Q ∈ {(1/3,2/3), (2/3,1/3)}
    Jiang, Jing
    Wu, Dianhua
    Lee, Moon Ho
    GRAPHS AND COMBINATORICS, 2013, 29 (06) : 1795 - 1811
  • [6] SOME DESIGNS AND CODES FROM L-2(q)
    Moori, J.
    Randriafanomezantsoa-Radohery, G. F.
    TRANSACTIONS ON COMBINATORICS, 2014, 3 (01) : 15 - 28
  • [7] Spectrum of splitting 3-designs with block size 3 x 2
    Wang, Jian
    Cheng, Xiaojun
    Du, Beiliang
    UTILITAS MATHEMATICA, 2016, 100 : 237 - 252
  • [8] New 3-designs and 2-designs having U(3,3) as an automorphism group
    Crnkovic, Dean
    Crnkovic, Vedrana Mikulic
    Svob, Andrea
    DISCRETE MATHEMATICS, 2017, 340 (10) : 2507 - 2515
  • [9] 3-Designs from the Z4-Goethals Codes via a New Kloosterman Sum Identity
    Dong-Joon Shin
    P. Vijay Kumar
    Tor Helleseth
    Designs, Codes and Cryptography, 2003, 28 : 247 - 263
  • [10] The Suzuki Groups Sz(q)and 2-(v, k, 1) Designs
    周胜林
    数学进展, 2000, (02) : 177 - 178
1234