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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

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2078575149

On the \(k\)-error linear complexity of binary sequences derived from polynomial quotients

About this item

Full title

On the \(k\)-error linear complexity of binary sequences derived from polynomial quotients

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2013-07

Language

English

Formats

Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

More information

Scope and Contents

Contents

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

Alternative Titles

Full title

On the \(k\)-error linear complexity of binary sequences derived from polynomial quotients

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2078575149

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2078575149

Other Identifiers

E-ISSN

2331-8422

DOI

10.48550/arxiv.1307.6626

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