级联No序列的三项式特性研究

Research on Trinomial Property of Cascaded No Sequences

利用有限域GF(2n)到其子域GF(2m)上的迹函数及其性质,研究一类非线性扩频序列的密码学性质,即级联No序列的三项式特性。给出级联No序列的三项生成多项式的形式,将级联No序列三项式特性的结论应用到二元No序列中,解决了二元No序列的三项式特性问题。分析结果表明,级联No序列不仅具有三项式对,而且具有正则三项式对。

By the trace function from the field GF（2） to the subfield GF（2m）, the cryptographic property of a class of nonlinear spreading sequences is considered, that is the trinomial property of the cascaded No sequences. And the trinomial form of the cascaded No sequences is given. Binary No sequences have the same trinomial property from the derived conclusions, trinomial property problem of binary No sequences is solved. Analysis results show that the cascaded No sequences not only have the regular trinomial pairs, but also have regular trinomial pairs.