Codebooks from almost difference sets

被引：0
作者：
Cunsheng Ding
Tao Feng
机构：
[1] The Hong Kong University of Science and Technology,Department of Computer Science and Engineering
[2] Peking University,School of Mathematical Sciences
来源：
Designs, Codes and Cryptography | 2008年 / 46卷
关键词：
Welch bounds; Difference sets; Almost difference sets; Signal sets; Codebooks; 94A05; 05B10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In direct spread CDMA systems, codebooks meeting the Welch bounds are used to distinguish among the signals of different users. Recently, constructions of codebooks with difference sets meeting Welch’s bound on the maximum cross-correlation amplitude were developed. In this paper, a generic construction of codebooks using almost difference sets is considered and several classes of codebooks nearly meeting the Welch bound are obtained. The parameters of the codebooks constructed in this paper are new.
引用
收藏
页码：113 / 126
页数：13
相关论文
共 43 条
[1]  
Arasu K.T.(2001)Almost difference sets and their sequences with optimal autocorrelation IEEE Trans. Inform. Theory 47 2834-2843
[2]  
Ding C.(1997)-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets Proc. London Math. Soc. 75 436-480
[3]  
Helleseth T.(1996)Packing lines, planes, etc.: packings in Grassmannian spaces Exp. Math. 5 139-159
[4]  
Kumar P.V.(1977)Spherical codes and designs Geom. Dedicate 67 363-388
[5]  
Martinsen H.(1998)Autocorrelation values of the generalized cyclotomic sequences of order 2 IEEE Trans. Inform. Theory 44 1698-1702
[6]  
Calderbank A.R.(2006)Complex codebooks from combinatorial designs IEEE Trans. Inform. Theory 52 4229-4235
[7]  
Cameron P.J.(2003)Meeting the Welch and Karystinos-Pados bounds on DS-CDMA binary signature sets Des. Codes Cryptogr. 30 73-84
[8]  
Kantor W.M.(2001)New families of binary sequences with optimal three-level autocorrelation IEEE Trans. Inform. Theory 47 428-433
[9]  
Seidel J.J.(2006)A family of skew Paley-Hadamard difference sets J. Comb. Theory A 113 1526-1535
[10]  
Conway J.H.(2003)New bounds on the total-squared-correlation and perfect design of DS-CDMA binary signature sets IEEE Trans. Commun. 3 260-265
12345