The minimal polynomial over <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="double-struck">F</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:math> of linear recurring sequence over <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="double-struck">F</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mi>m</mml:mi></mml:msup></mml:msub></mml:math>-Reference-Cited by-同舟云学术

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The minimal polynomial over Fq of linear recurring sequence over Fqm

Published:2009-12 Issue:6 Volume:15 Page:774-784
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

Gao Zhi-Han,Fu Fang-Wei

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference30 articles.

1. Generating linear spans over finite fields;Chou;Acta Arith.,1992

2. Stream Ciphers and Number Theory;Cusick,1998

3. Asymptotic behavior of normalized linear complexity of multi-sequences;Dai,2005

4. Analysis and design issues for synchronous stream ciphers;Dawson,2002

5. The Stability Theory of Stream Ciphers;Ding,1991

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