Automorphisms of constant weight codes and of divisible designs

被引：3
|
作者：
Schulz, RH
Spera, AG
机构：
[1] Free Univ Berlin, Math Inst, D-14195 Berlin, Germany
[2] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2000年 / 20卷 / 01期
关键词：
divisible design; constant weight code; automorphism group;
D O I：
10.1023/A:1008375603014
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We show that the automorphism group of a divisible design D is isomorphic to a subgroup H of index 1 or 2 in the automorphism group Aut C(D) of the associated constant weight code. Only in very special cases H is not the full automorphism group.
引用
收藏
页码：89 / 97
页数：9
相关论文
共 50 条
  • [1] Automorphisms of Constant Weight Codes and of Divisible Designs
    Ralph-Hardo Schulz
    Antonino Giorgio Spera
    Designs, Codes and Cryptography, 2000, 20 : 89 - 97
  • [2] Constant Weight Codes and Group Divisible Designs
    Simon Blake-Wilson
    Kevin T. Phelps
    Designs, Codes and Cryptography, 1999, 16 : 11 - 27
  • [3] Constant Weight Codes and Group Divisible Designs
    Blake-Wilson, Simon
    Phelps, Kevin T.
    Designs, Codes, and Cryptography, 16 (01): : 11 - 27
  • [4] Constant weight codes and group divisible designs
    Blake-Wilson, S
    Phelps, KT
    DESIGNS CODES AND CRYPTOGRAPHY, 1999, 16 (01) : 11 - 27
  • [5] Constructions of optimal quaternary constant weight codes via group divisible designs
    Wu, Dianhua
    Fan, Pingzhi
    DISCRETE MATHEMATICS, 2009, 309 (20) : 6009 - 6013
  • [6] Divisible designs and their automorphisms
    Cerroni, C
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2000, 3A (03): : 311 - 314
  • [7] Optimal constant weight covering codes and nonuniform group divisible 3-designs with block size four
    Zhang, Xiande
    Zhang, Hui
    Ge, Gennian
    DESIGNS CODES AND CRYPTOGRAPHY, 2012, 62 (02) : 143 - 160
  • [8] Optimal constant weight covering codes and nonuniform group divisible 3-designs with block size four
    Xiande Zhang
    Hui Zhang
    Gennian Ge
    Designs, Codes and Cryptography, 2012, 62 : 143 - 160
  • [9] On the equivalence of certain constant weight codes and combinatorial designs
    Zinoviev, VA
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1996, 56 (02) : 289 - 294
  • [10] Group divisible codes and their application in the construction of optimal constant-composition codes of weight three
    Chee, Yeow Meng
    Ge, Gennian
    Ling, Alan C. H.
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (08) : 3552 - 3564
12345