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Linear complexity over F/sub p/ and trace representation of Lempel-Cohn-Eastman sequences

机译:F / sub p /上的线性复杂度和Lempel-Cohn-Eastman序列的迹线表示

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摘要

In this article, the linear complexity over F/sub p/ of Lempel-Cohn-Eastman (1977) sequences of period p/sup m/-1 for an odd prime p is determined. For p=3,5, and 7, the exact closed-form expressions for the linear complexity over F/sub p/ of LCE sequences of period p/sup m/-1 are derived. Further, the trace representations for LCE sequences of period p/sup m/-1 for p=3 and 5 are found by computing the values of all Fourier coefficients in F/sub p/ for the sequences.
机译:在本文中,确定了对于奇质数p的周期p / sup m / -1的Lempel-Cohn-Eastman(1977)序列的F / sub p /的线性复杂度。对于p = 3,5和7,得出周期p / sup m / -1的LCE序列在F / sub p /上的线性复杂度的精确封闭式表达式。此外,通过计算序列的F / sub p /中所有傅立叶系数的值,找到了p = 3和5的周期p / sup m / -1的LCE序列的迹线表示。

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