A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field
Hiroto Ino, Yasuyuki Nogami, Nasima Begum, Satoshi Uehara, Robert H. Morelos-Zaragoza, Tsuchiya Kazuyoshi · 2015
In our previous work, the k-value pseudo random sequence generated by power residue symbol has been researched. The sequence is generated by applying a primitive polynomial over odd characteristics field, trace function, and power residue symbol. And the sequence has some interesting features such as period, periodic autocorrelation, and linear complexity. In this paper, by applying a new step into the process of generating sequence, a new generating method of k-value sequence is derived. As with the previous work, it also has some interesting features such as period, periodic autocorrelation, and periodic crosscorrelation. From the experimental results, these features are examined.