有限域上的线性复杂度三次序列

2016 Third International Conference on Mathematics and Computers in Sciences and in Industry (MCSI) Pub Date : 2016-08-01 DOI:10.1109/MCSI.2016.021

V. Edemskiy, N. Sokolovskiy

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引用次数: 3

摘要

研究了基于三次剩余类构造的序列在有限域上的线性复杂度和最小多项式。特别地，我们发现了三次残数类特征序列和三阶平衡环切序列的线性复杂度和最小多项式。

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Linear Complexity Cubic Sequences over Finite Fields

We investigate the linear complexity and the minimal polynomial over the finite fields of sequences constructed on the basis of cubic residue classes. In particular, we find the linear complexity and the minimal polynomial of the characteristic sequence of cubic residue class and balanced cyclotomic sequences of order three.

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2016 Third International Conference on Mathematics and Computers in Sciences and in Industry (MCSI)

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