摘要
本文用迹函数及m—序列的结构特性构造并研究了一类GF(q^m)上的非线性伪随机序列。这类序列的取值分布、游程及自相关函数均与m—序列一致,且满足移位相加特性,但这类新序列的数量是m—序列的[multiply from f=1 to (m-1)((q^m-q^l)-m)]/m倍。
Based on the structure of m-sequence and the trace representation,a newclass of nonlinear pseudorandom sequences over GF(qm) is constructed and some properties of the sequences are investigated. This class of sequences possesses the same value-distribution, ru-nproperty, autocorrelation function and shift-and-add property as m-sequences. The number ofthe new class of nonlinear sequences is /m times as many as that of m-sequences with the same period.
出处
《电子学报》
EI
CAS
CSCD
北大核心
1991年第3期9-15,共7页
Acta Electronica Sinica
基金
国家教委高等学校科学技术基金资助项目
