摘要
对于具有理想二级自相关函数,周期为pn-1的Helleseth-Gong序列,利用频谱分析的方法研究其Hadamard变换的性质,并证明其Hadamard变换是三值的.完善了Helleseth-Gong序列的构造,同时证明了对于特殊序列的Walsh变换和Hadamard变换之间的关系.
According to the spectrum analysis method, the Hadamard transform of a new family of nonbi- nary sequences of period pn- 1 with symbols from a finite field Fp for any prime p 〉 2 was studied. Such sequences had ideal two-level autoeorrelation. The Hadamard transform values were determined and shown to be three-valued, and the construction of Helleseth-Gong sequences was modified. Furthermore, the relationship between the Hadamard transform and the Walsh transform for the particular function was found.
出处
《郑州大学学报(理学版)》
CAS
北大核心
2013年第2期27-30,共4页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金资助项目
编号61102093
61174085