摘要
该文根据特征为4的Galois环理论,在Z4上利用广义分圆构造出一类新的周期为2p2(p为奇素数)的四元序列,并且给出了它的线性复杂度。结果表明,该序列具有良好的线性复杂度性质,能够抗击Berlekamp-Massey(B-M)算法的攻击,是密码学意义上性质良好的伪随机序列。
Based on the theory of Galois rings of characteristic 4, a new class of quaternary sequences with period 2p2 is established over Z4 using generated cyclotomy, where p is an odd prime. The linear complexity of the new sequences is determined. Results show that the sequences have larger linear complexity and resist the attack by Berlekamp-Massey (B-M) algorithm. It is a good sequence from the viewpoint of cryptography.
作者
杜小妮
赵丽萍
王莲花
DU Xiaoni;ZHAO Liping;WANG Lianhua(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处
《电子与信息学报》
EI
CSCD
北大核心
2018年第12期2992-2997,共6页
Journal of Electronics & Information Technology
基金
国家自然科学基金(61462077
61772022)
安徽省自然科学基金(1608085MF143)
上海市自然科学基金(16ZR1411200)~~