A Note on Large Families of Pseudorandom Binary Sequences and Lattices

被引:0
|
作者
Liu, Huaning [1 ]
Gao, Jing [2 ]
机构
[1] Northwest Univ, Dept Math, Xian 710069, Peoples R China
[2] Xi An Jiao Tong Univ, Dept Math Sci, Xian 710049, Peoples R China
基金
高等学校博士学科点专项科研基金;
关键词
pseudorandom binary sequence; lattice; exponential sum; subset; multiplicative inverse; character; FINITE SEQUENCES; CONSTRUCTION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Pseudorandom binary sequences and lattices play an important role in cryptography, so in a series of papers many sequences and lattices have been given and studied. In this paper we presented a few large families of pseudorandom binary sequences and lattices, and generalized some existed constructions.
引用
收藏
页码:1635 / 1654
页数:20
相关论文
共 50 条
  • [41] Construction of pseudorandom binary lattices based on multiplicative characters
    László Mérai
    Periodica Mathematica Hungarica, 2009, 59 : 43 - 51
  • [42] Randomness quality of permuted pseudorandom binary sequences
    Tan, Syn Kiat
    Guan, Sheng-Uei
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 79 (05) : 1618 - 1626
  • [43] A family of elliptic curve pseudorandom binary sequences
    Liu, Huaning
    DESIGNS CODES AND CRYPTOGRAPHY, 2014, 73 (01) : 251 - 265
  • [44] PARAMETER ESTIMATION USING PSEUDORANDOM BINARY SEQUENCES
    MACLEOD, CJ
    ELECTRONICS LETTERS, 1969, 5 (02) : 35 - &
  • [45] On pseudorandom [0,1) and binary sequences
    Mauduit, Christian
    Niederreiter, Harald
    Sarkozy, Andras
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2007, 71 (3-4): : 305 - 324
  • [46] On the correlation of pseudorandom binary sequences with composite moduli
    Liu, Huaning
    Zhan, Tao
    Wang, Xiaoyun
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2009, 74 (1-2): : 195 - 214
  • [47] A family of elliptic curve pseudorandom binary sequences
    Huaning Liu
    Designs, Codes and Cryptography, 2014, 73 : 251 - 265
  • [48] New Families of Binary Sequences with Low Correlation and Large Size
    Zhou, Zhengchun
    Tang, Xiaohu
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2009, E92A (01): : 291 - 297
  • [49] Families of FH sequences based on pseudorandom sequences over GF(p)
    Mei, WH
    Yang, YX
    2000 INTERNATIONAL CONFERENCE ON COMMUNICATION TECHNOLOGY PROCEEDINGS, VOLS. I & II, 2000, : 536 - 538
  • [50] On the correlation of pseudorandom binary sequences using additive characters
    Liu, Huaning
    Wang, Xiaoyun
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2011, 79 (1-2): : 145 - 170