On the \(k\)-error linear complexity of binary sequences derived from polynomial quotients
On the \(k\)-error linear complexity of binary sequences derived from polynomial quotients
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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We investigate the \(k\)-error linear complexity of \(p^2\)-periodic binary sequences defined from the polynomial quotients (including the well-studied Fermat quotients), which is defined by $$ q_{p,w}(u)\equiv \frac{u^w-u^{wp}}{p} \bmod p ~ \mathrm{with} 0 \le q_{p,w}(u) \le p-1, ~u\ge 0, $$ where \(p\) is an odd prime and \(1\le w
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On the \(k\)-error linear complexity of binary sequences derived from polynomial quotients
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TN_cdi_proquest_journals_2078575149
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2078575149
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2331-8422
DOI
10.48550/arxiv.1307.6626