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


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 F8 we provide exact values for their linear complexity. 
DOI: 10.1016/j.jco.2008.04.002


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