Finite fields : [electronic resource] theory, applications, and algorithms : Fourth International Conference on Finite Fields-- Theory, Applications, and Algorithms, August 12-15, 1997, University of Waterloo, Ontario, Canada / Ronald C. Mullin, Gary L. Mullen, editors.

By: (4th : International Conference on Finite Fields: Theory, Applications, and Algorithms (4th : 1997 : University of Waterloo)Contributor(s): Mullin, Ronald C. (Ronald Cleveland), 1936- | Mullen, Gary LMaterial type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 225.Publication details: Providence, R.I. : American Mathematical Society, c1999Description: 1 online resource (x, 243 p.)ISBN: 9780821878163 (online)Subject(s): Finite fields (Algebra) -- CongressesAdditional physical formats: Finite fields :DDC classification: 512/.3 LOC classification: QA247.3 | .I58 1997Online resources: Contents | Contents
Contents:
Computing composed products of polynomials / Joel V. Brawley, Shuhong Gao and Donald Mills -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03205 Actions of linearized polynomials on the algebraic closure of a finite field / Stephen D. Cohen and Dirk Hachenberger -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03206 On degree bounds for invariant rings of finite groups over finite fields / Peter Fleischmann and Wolfgang Lempken -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03207 Irreducible polynomials of given forms / Shuhong Gao, Jason Howell and Daniel Panario -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03208 An application of Galois calculus to ${\bf F}_q[t]$ / Yves Hellegouarch -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03209 Composition behaviour of sub-linearised polynomials over a finite field / Marie Henderson and Rex Matthews -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03210 Kernels and defaults / Philippe Langevin and Patrick Sol�e -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03211 Global function fields with many rational places and their applications / Harald Niederreiter and Chaoping Xing -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03212 Traces of roots of unity over prime fields / Greg Stein -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03213 The Fermat curve in characteristic $p$ / Henning Stichtenoth -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03214 Computing zeta functions over finite fields / Daqing Wan -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03215 Cyclic alternant codes induced by an automorphism of a GRS code / Thierry P. Berger -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03216 On Kerdock codes / Claude Carlet -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03217 Permutation group of the $q$-ary image of some $q^m$-ary cyclic codes / J�er�ome Lacan and Emmanuelle Delpeyroux -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03218 The number of solutions to a system of equations and spectra of codes / Osnat Keren and Simon Litsyn -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03219 The LD probable prime test / Willi More -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03220 Carmichael numbers and Lucas tests / Siguna M. S. M�uller -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03221 On the state complexity of some long codes / Tim Blackmore and Graham Norton -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03222 ID-based key distribution system over an elliptic curve / Hisao Sakazaki, Eiji Okamoto and Masahiro Mambo -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03223 Symmetric sets of curves and combinatorial arrays / Ryoh Fuji-Hara and Satoshi Shinohara -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03224 Weight functions and the extension theorem for linear codes over finite rings / Jay A. Wood -- http://www.ams.org/conm/225/ http://dx.doi.org/10.1090/conm/225/03225
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Includes bibliographical references.

Computing composed products of polynomials / Joel V. Brawley, Shuhong Gao and Donald Mills -- Actions of linearized polynomials on the algebraic closure of a finite field / Stephen D. Cohen and Dirk Hachenberger -- On degree bounds for invariant rings of finite groups over finite fields / Peter Fleischmann and Wolfgang Lempken -- Irreducible polynomials of given forms / Shuhong Gao, Jason Howell and Daniel Panario -- An application of Galois calculus to ${\bf F}_q[t]$ / Yves Hellegouarch -- Composition behaviour of sub-linearised polynomials over a finite field / Marie Henderson and Rex Matthews -- Kernels and defaults / Philippe Langevin and Patrick Sol�e -- Global function fields with many rational places and their applications / Harald Niederreiter and Chaoping Xing -- Traces of roots of unity over prime fields / Greg Stein -- The Fermat curve in characteristic $p$ / Henning Stichtenoth -- Computing zeta functions over finite fields / Daqing Wan -- Cyclic alternant codes induced by an automorphism of a GRS code / Thierry P. Berger -- On Kerdock codes / Claude Carlet -- Permutation group of the $q$-ary image of some $q^m$-ary cyclic codes / J�er�ome Lacan and Emmanuelle Delpeyroux -- The number of solutions to a system of equations and spectra of codes / Osnat Keren and Simon Litsyn -- The LD probable prime test / Willi More -- Carmichael numbers and Lucas tests / Siguna M. S. M�uller -- On the state complexity of some long codes / Tim Blackmore and Graham Norton -- ID-based key distribution system over an elliptic curve / Hisao Sakazaki, Eiji Okamoto and Masahiro Mambo -- Symmetric sets of curves and combinatorial arrays / Ryoh Fuji-Hara and Satoshi Shinohara -- Weight functions and the extension theorem for linear codes over finite rings / Jay A. Wood --

http://www.ams.org/conm/225/

http://dx.doi.org/10.1090/conm/225/03205

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http://dx.doi.org/10.1090/conm/225/03206

http://www.ams.org/conm/225/

http://dx.doi.org/10.1090/conm/225/03207

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http://dx.doi.org/10.1090/conm/225/03208

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http://dx.doi.org/10.1090/conm/225/03209

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http://dx.doi.org/10.1090/conm/225/03210

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http://dx.doi.org/10.1090/conm/225/03211

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http://dx.doi.org/10.1090/conm/225/03212

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http://dx.doi.org/10.1090/conm/225/03213

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http://dx.doi.org/10.1090/conm/225/03214

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http://dx.doi.org/10.1090/conm/225/03216

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http://dx.doi.org/10.1090/conm/225/03217

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http://dx.doi.org/10.1090/conm/225/03218

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http://dx.doi.org/10.1090/conm/225/03219

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http://dx.doi.org/10.1090/conm/225/03220

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http://dx.doi.org/10.1090/conm/225/03221

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http://dx.doi.org/10.1090/conm/225/03222

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http://dx.doi.org/10.1090/conm/225/03223

http://www.ams.org/conm/225/

http://dx.doi.org/10.1090/conm/225/03224

http://www.ams.org/conm/225/

http://dx.doi.org/10.1090/conm/225/03225

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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