摘要
通过提出序列多项相关性的概念,本文对Kasami序列进行多项相关分析,得到了Kasami序列的非平凡多项相关值均是三值的,并利用其多项相关性证明了Kasami序列的所有三项式对都是正则三项式对,且具有局部移加特性,据此对Kasami序列进行了移加等价分类,证明了每一类添加全零序列后都构成向量空间,给出了在Kasami序列族中优选近似正交序列的一般方法。
By introducing the concept of multinomial relativity, we analyzed the multinomial relativity of Kasami sequences, obtained that auto/cross relative function have three nontrivial value, and proved that all the trinomial pairs of Kasami sequences are regular trinomial pairs by multinomial relativity, Kasami sequences have locally shift addition property, Kasami sequences can be classified with shift addition equivalence, any class is made up of a vector space, a generic method is provided for choosing approximatively orthogonal sequences in Kasami sequences family.
出处
《工程数学学报》
CSCD
北大核心
2007年第4期685-690,共6页
Chinese Journal of Engineering Mathematics
基金
河南省自然科学基金(0611054300)
河南省杰出青年科学基金(0312001800)
