On the linear complexity of Sidel'nikov sequences over nonprime fields

Brandstatter, Nina and Meidl, Wilfried (2008) On the linear complexity of Sidel'nikov sequences over nonprime fields. Journal of complexity, 24 (5-6). pp. 648-659. ISSN 0885-064X

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Abstract

We introduce a generalization of Sidel'nikov sequences for arbitrary finite fields. We show that several classes of Sidel'nikov sequences over arbitrary finite fields exhibit a large linear complexity. For Sidel'nikov sequences over F-8 we provide exact values for their linear complexity.
Item Type: Article
Uncontrolled Keywords: Sidel'nikov sequence; Linear complexity; Cyclotomic numbers; Sequences over finite fields
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Wilfried Meidl
Date Deposited: 29 Apr 2009 09:57
Last Modified: 26 Apr 2022 08:28
URI: https://research.sabanciuniv.edu/id/eprint/11482

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