4-blocked Hadamard 3-designs

被引:2
|
作者
Berardi, L [1 ]
Buratti, M [1 ]
Innamorati, S [1 ]
机构
[1] UNIV AQUILA,DIPARTIMENTO INGN ELETTR,I-67040 MONTELUCO ROIO AQ,ITALY
关键词
D O I
10.1016/S0012-365X(96)00316-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The important role of Hadamard designs for applications in several fields has been long established. A considerable problem of finite geometry is to determine the configurations of the minimum number of points that block a design, i.e. the shape of a minimum set of points which have at least one point in common with any block. In this paper we deal with Hadamard 3-designs blocked by only four points.
引用
收藏
页码:35 / 46
页数:12
相关论文
共 50 条
  • [21] ON THE SUPPORT SIZE OF 3-DESIGNS WITH REPEATED BLOCKS
    MAHMOODIAN, ES
    ARS COMBINATORIA, 1990, 30 : 13 - 22
  • [22] CONSTRUCTING 3-DESIGNS FROM SPREADS AND LINES
    BERARDI, L
    DISCRETE MATHEMATICS, 1989, 74 (03) : 331 - 332
  • [23] DOUBLE RESOLVABILITY OF SOME COMPLETE 3-DESIGNS
    DENNISTON, RH
    MANUSCRIPTA MATHEMATICA, 1974, 12 (02) : 105 - 112
  • [24] Weight distribution of Preparata codes over Z 4 and the construction of 3-designs
    Li WeiXia
    Shen Hao
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (06) : 1155 - 1162
  • [25] Simple 3-designs with block size d
    Li, Weixia
    Shen, Hao
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2011, 51 : 235 - 241
  • [26] Tricolore 3-designs in Type III codes
    Bonnecaze, A
    Solé, P
    Udaya, P
    DISCRETE MATHEMATICS, 2001, 241 (1-3) : 129 - 138
  • [27] Simple 3-designs and PSL(2, q) with q ≡ 1 (mod 4)
    Niranjan Balachandran
    Dijen Ray-Chaudhuri
    Designs, Codes and Cryptography, 2007, 44 : 263 - 274
  • [28] Multiqubit Clifford groups are unitary 3-designs
    Zhu, Huangjun
    PHYSICAL REVIEW A, 2017, 96 (06)
  • [29] 3-Designs from PSL(2, q)
    Cameron, P. J.
    Maimani, H. R.
    Omidi, G. R.
    Tayfeh-Rezaie, B.
    DISCRETE MATHEMATICS, 2006, 306 (23) : 3063 - 3073
  • [30] A construction for infinite families of Steiner 3-designs
    Mohácsy, H
    Ray-Chaudhuri, DK
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2001, 94 (01) : 127 - 141