Arithmetic, geometry, cryptography, and coding theory 2009 : [electronic resource] 12th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, March 30-April 3, 2009, Marseille, France : Geocrypt Conference, April 27-May 1, 2009, Pointe-�a-Pitre, Guadeloupe, France : European Science Foundation Exploratory Workshop [on] Curves, Coding Theory, and Cryptography, March 25-29, 2009, Marseille, France / David Kohel, Robert Rolland, editors.

By: (12th : International Conference Arithmetic, Geometry, Cryptography and Coding Theory (12th : 2009 : Marseille, France)Contributor(s): Kohel, David R, 1966- | Rolland, Robert | European Science Foundation. Exploratory Workshop on Curves, Coding Theory, and Cryptography (2009 : Marseille, France)Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 521.Publication details: Providence, R.I. : American Mathematical Society, c2010Description: 1 online resource (vii, 166 p. : ill.)ISBN: 9780821882009 (online)Subject(s): Arithmetical algebraic geometry -- Congresses | Abelian varieties -- Congresses | Coding theory -- Congresses | Cryptography -- CongressesAdditional physical formats: Arithmetic, geometry, cryptography, and coding theory 2009 :DDC classification: 516.3/5 LOC classification: QA242.5 | .I58 2009Online resources: Contents | Contents
Contents:
Differentially 4-uniform functions / Yves Aubry and Fran�cois Rodier -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10268 Computing Hironaka's invariants: ridge and directrix / J�er�emy Berthomieu, Pascal Hivert and Hussein Mourtada -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10269 Nondegenerate curves of low genus over small finite fields / Wouter Castryck and John Voight -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10270 Faster side-channel resistant elliptic curve scalar multiplication / Alexandre Venelli and Fran�cois Dassance -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10271 Non lin�earit�e des fonctions bool�eennes donn�ees par des polyn�omes de degr�e binaire 3 d�efinies sur $\Bbb F_{2^m}$ avec $m$ pair / Eric F�erard and Fran�cois Rodier -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10272 A note on a maximal curve / Arnaldo Garcia and Henning Stichtenoth -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10273 Computing Humbert surfaces and applications / David Gruenewald -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10274 Genus 3 curves with many involutions and application to maximal curves in characteristic 2 / Enric Nart and Christophe Ritzenthaler -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10275 Uniqueness of low genus optimal curves over $\Bbb F_2$ / Alessandra Rigato -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10276 Group order formulas for reductions of CM elliptic curves / A. Silverberg -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10277 Families of explicit isogenies of hyperelliptic Jacobians / Benjamin Smith -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10278 Computing congruences of modular forms and Galois representations modulo prime powers / Xavier Taix�es i Ventosa and Gabor Wiese -- http://www.ams.org/conm/521/ http://dx.doi.org/10.1090/conm/521/10279
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Includes bibliographical references.

Differentially 4-uniform functions / Yves Aubry and Fran�cois Rodier -- Computing Hironaka's invariants: ridge and directrix / J�er�emy Berthomieu, Pascal Hivert and Hussein Mourtada -- Nondegenerate curves of low genus over small finite fields / Wouter Castryck and John Voight -- Faster side-channel resistant elliptic curve scalar multiplication / Alexandre Venelli and Fran�cois Dassance -- Non lin�earit�e des fonctions bool�eennes donn�ees par des polyn�omes de degr�e binaire 3 d�efinies sur $\Bbb F_{2^m}$ avec $m$ pair / Eric F�erard and Fran�cois Rodier -- A note on a maximal curve / Arnaldo Garcia and Henning Stichtenoth -- Computing Humbert surfaces and applications / David Gruenewald -- Genus 3 curves with many involutions and application to maximal curves in characteristic 2 / Enric Nart and Christophe Ritzenthaler -- Uniqueness of low genus optimal curves over $\Bbb F_2$ / Alessandra Rigato -- Group order formulas for reductions of CM elliptic curves / A. Silverberg -- Families of explicit isogenies of hyperelliptic Jacobians / Benjamin Smith -- Computing congruences of modular forms and Galois representations modulo prime powers / Xavier Taix�es i Ventosa and Gabor Wiese --

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10268

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10269

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10270

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10271

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10272

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10273

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10274

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10275

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10276

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10277

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10278

http://www.ams.org/conm/521/

http://dx.doi.org/10.1090/conm/521/10279

Access is restricted to licensed institutions

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

Mode of access : World Wide Web

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