Some two-character sets

被引：4
|
作者：
Cossidente, Antonio [2 ]
King, Oliver H. [1 ]
机构：
[1] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
[2] Univ Basilicata, Dipartimento Matemat & Informat, I-85100 Potenza, Italy
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2010年 / 56卷 / 2-3期
关键词：
Commuting polarities; Two-character sets; Hermitian surface; Generalized hexagon; SUBGROUPS; GEOMETRY; CODES;
D O I：
10.1007/s10623-010-9394-8
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Some new examples of two-character sets with respect to planes of PG(3, q (2)), q odd, are constructed. They arise from three-dimensional hyperbolic quadrics, from the geometry of an orthogonal polarity commuting with a unitary polarity. The last examples arise from the geometry of the unitary group PSU(3, 3) acting on the split Cayley hexagon H(2).
引用
收藏
页码：105 / 113
页数：9
相关论文
共 50 条
  • [1] Some two-character sets
    Antonio Cossidente
    Oliver H. King
    Designs, Codes and Cryptography, 2010, 56 : 105 - 113
  • [2] The geometry of some two-character sets
    Antonio Cossidente
    Nicola Durante
    Giuseppe Marino
    Tim Penttila
    Alessandro Siciliano
    Designs, Codes and Cryptography, 2008, 46 : 231 - 241
  • [3] The geometry of some two-character sets
    Cossidente, Antonio
    Durante, Nicola
    Marino, Giuseppe
    Penttila, Tim
    Siciliano, Alessandro
    DESIGNS CODES AND CRYPTOGRAPHY, 2008, 46 (02) : 231 - 241
  • [4] Veronese embedding and two-character sets
    Cossidente, Antonio
    Marino, Giuseppe
    DESIGNS CODES AND CRYPTOGRAPHY, 2007, 42 (01) : 103 - 107
  • [5] Geometric constructions of two-character sets
    Pavese, Francesco
    DISCRETE MATHEMATICS, 2015, 338 (03) : 202 - 208
  • [6] Two-character sets as subsets of parabolic quadrics
    De Bruyn, Bart
    ARS COMBINATORIA, 2016, 127 : 125 - 132
  • [7] Two-Character Sets Arising from Gluings of Orbits
    Antonio Cossidente
    Tim Penttila
    Graphs and Combinatorics, 2013, 29 : 399 - 406
  • [8] Two-character sets, Veronese varieties and Grassmannian of lines
    Cossidente, A.
    Marino, G.
    RICERCHE DI MATEMATICA, 2024, 74 (1) : 207 - 218
  • [9] Two-Character Sets Arising from Gluings of Orbits
    Cossidente, Antonio
    Penttila, Tim
    GRAPHS AND COMBINATORICS, 2013, 29 (03) : 399 - 406
  • [10] The classical 1-system of Q−(7, q) and two-character sets
    Antonio Cossidente
    Designs, Codes and Cryptography, 2010, 54 : 1 - 9
12345