Notes About the Linear Complexity of Cyclotomic Binary Sequences of Order Four Over a Finite Field of Odd Characteristic

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Abstract: In this paper, we investigate the linear complexity and the minimal polynomial of cyclotomic binary sequences of order four over a finite field of odd characteristic. The sequences considered are determined on the basis of two cyclotomic classes of the fourth order. We show that they have a high linear complexity.

Engineering World, E-ISSN: 2692-5079, Volume 2, 2020, Art. #26

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Vladimir Edemskiy, Nikita Sokolovskii , "Notes About the Linear Complexity of Cyclotomic Binary Sequences of Order Four Over a Finite Field of Odd Characteristic," Engineering World, vol. 2, pp. 167-170, 2020, DOI:
Vladimir Edemskiy, Nikita Sokolovskii . Notes About the Linear Complexity of Cyclotomic Binary Sequences of Order Four Over a Finite Field of Odd Characteristic. Engineering World. 2020;2:167-170.
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