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
  • [31] More constructions of pseudorandom lattices of symbols
    Mak, Kit-Ho
    MONATSHEFTE FUR MATHEMATIK, 2015, 177 (02): : 307 - 323
  • [32] On finite pseudorandom lattices of k symbols
    László Mérai
    Monatshefte für Mathematik, 2010, 161 : 173 - 191
  • [33] TWO BINARY SEQUENCE FAMILIES WITH LARGE MERIT FACTOR
    Schmidt, Kai-Uwe
    Jedwab, Jonathan
    Parker, Matthew G.
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2009, 3 (02) : 135 - 156
  • [34] Two Families of Lattices
    Li, Zengti
    Deng, Fengru
    ARS COMBINATORIA, 2011, 101 : 343 - 352
  • [35] More constructions of pseudorandom sequences of k symbols
    Mak, Kit-Ho
    FINITE FIELDS AND THEIR APPLICATIONS, 2014, 25 : 222 - 233
  • [36] A Note On Subloop Lattices
    Tuval Foguel
    Josh Hiller
    Results in Mathematics, 2016, 69 : 11 - 21
  • [37] A Note on the Modularization of Lattices
    Yibo Gao
    Order, 2020, 37 : 311 - 318
  • [38] A Note On Subloop Lattices
    Foguel, Tuval
    Hiller, Josh
    RESULTS IN MATHEMATICS, 2016, 69 (1-2) : 11 - 21
  • [39] A Note on the Modularization of Lattices
    Gao, Yibo
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2020, 37 (02): : 311 - 318
  • [40] Large family of pseudorandom subsets of the set of the integers not exceeding N
    Liu, Huaning
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (05) : 1121 - 1141