Abelian difference sets of order n dividing λ

被引：0
作者：
K. T. Arasu
Yu Qing Chen
J. F. Dillon
Xiaoyu Liu
Kevin J. Player
机构：
[1] Wright State University,Department of Mathematics and Statistics
[2] National Security Agency,undefined
来源：
Designs, Codes and Cryptography | 2007年 / 44卷
关键词：
Difference set; Ideal autocorrelation; -Sequence; Paley-Hadamard; Singer; 05C25; 20B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that difference sets satisfying the condition n|λ have a product property which can be exploited to construct more difference sets. Many of the newly discovered difference sets arise in precisely this way.
引用
收藏
页码：307 / 319
页数：12
相关论文
共 25 条
  • [1] Arasu KT(2006)On abelian (2 J Combin Theory Ser A 23 1120-1137
  • [2] Chen YQ(2003)(2 Des Codes Cryptogr 28 75-91
  • [3] Pott A(1999) + 1), 2 Des Codes Cryptogr 17 225-235
  • [4] Arasu KT(2004)(2 Finite Fields Appl 10 342-389
  • [5] Player KJ(1997) + 1), 2 J Combin Theory Ser A 80 13-78
  • [6] Dillon JF(1999))-difference sets J Combin Theory Ser A 87 74-119
  • [7] Dillon JF(1965)A new family of cyclic difference sets with Singer parameters in characteristic three Proc Amer Math Soc 7 975-986
  • [8] Dobbertin H(1992)Multiplicative difference sets via additive characters Combinatorica 12 425-432
  • [9] Davis JA(1998)New cyclic difference sets with Singer parameters IEEE Trans Inform Theory 44 1278-1282
  • [10] Jedwab J(1998)A unifying construction for difference sets IEEE Trans Inform Theory 44 814-817
123