Author:
Edemskiy Vladimir, ,Wu Chenhuang, ,
Abstract
<abstract><p>In this paper, we study the $ k $-error linear complexity of binary sequences with periods $ p^n $, which are derived from new generalized cyclotomic classes modulo a power of an odd prime $ p $. We establish a recursive relation and then estimate the $ k $-error linear complexity of the binary sequences with periods $ p^n $, the results extend the case $ p^2 $ that has been studied in an earlier work of Wu et al. at 2019. Our results show that the $ k $-error linear complexity of these sequences does not decrease dramatically for $ k < (p^{n}-p^{n-1})/2 $.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Cited by
1 articles.
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1. Linear Complexity of New r-Ary Sequences of Length pnqm;Software Engineering Research in System Science;2023