Codebooks from almost difference sets

被引：39
|
作者：
Ding, Cunsheng [1 ]
Feng, Tao [2 ]
机构：
[1] Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Hong Kong, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2008年 / 46卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Welch bounds; difference sets; almost difference sets; signal sets; codebooks;
D O I：
10.1007/s10623-007-9140-z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
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：14
相关论文
共 50 条
  • [21] Almost perfect sequences based on cyclic difference sets
    Chen Gang
    Zhao Zhengyu
    JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2007, 18 (01) : 155 - 159
  • [22] Linear Array Thinning Exploiting Almost Difference Sets
    Oliveri, Giacomo
    Donelli, Massimo
    Massa, Andrea
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (12) : 3800 - 3812
  • [23] PARTIAL DIRECT PRODUCT DIFFERENCE SETS AND ALMOST QUATERNARY SEQUENCES
    Ozden, Busra
    Yayla, Oguz
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021, : 572 - 588
  • [24] Almost supplementary difference sets and quaternary sequences with optimal autocorrelation
    Armario, J. A.
    Flannery, D. L.
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020, 12 (04): : 757 - 768
  • [25] Genetically-designed arbitrary length almost difference sets
    Oliveri, G.
    Donelli, M.
    Massa, A.
    ELECTRONICS LETTERS, 2009, 45 (23) : 1182 - 1183
  • [26] MIMO Radar Array Thinning Using Almost Difference Sets
    Dong, Jian
    Shi, Ronghua
    Ren, Huabing
    Li, Donglin
    2016 10TH EUROPEAN CONFERENCE ON ANTENNAS AND PROPAGATION (EUCAP), 2016,
  • [27] Almost supplementary difference sets and quaternary sequences with optimal autocorrelation
    J. A. Armario
    D. L. Flannery
    Cryptography and Communications, 2020, 12 : 757 - 768
  • [28] A new family of almost difference sets and some necessary conditions
    Zhang, Y
    Lei, JG
    Zhang, SP
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (05) : 2052 - 2061
  • [29] On Some New Families of Almost Difference Sets Constructed From Cyclotomic Classes of Order 12
    Qi, Minglong
    Xiong, Shengwu
    Yuan, Jingling
    Rao, Wenbi
    Zhong, Luo
    IEEE COMMUNICATIONS LETTERS, 2016, 20 (01) : 61 - 64
  • [30] Gauss periods and codebooks from generalized cyclotomic sets of order four
    Liqin Hu
    Qin Yue
    Designs, Codes and Cryptography, 2013, 69 : 233 - 246
12345