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| List Price: | $130.00 |
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| eBook ISBN: | 978-0-8218-8200-9 |
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Book DetailsContemporary MathematicsVolume: 521; 2010; 166 ppMSC: Primary 11; 14
This volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from March 30 to April 3, 2009, as well as the first Geocrypt conference, held in Pointe-à-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography, held in Marseille, France from March 25 to 29, 2009.
The articles contained in this volume come from three related symposia organized by the group Arithmétique et Théorie de l'Information in Marseille. The topics cover arithmetic properties of curves and higher dimensional varieties with applications to codes and cryptography.
ReadershipGraduate students and research mathematicians interested in arithmetic, geometry, and applications to coding and cryptography.
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Table of Contents
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Articles
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Yves Aubry and François Rodier — Differentially 4-uniform functions [ MR 2744028 ]
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Jérémy Berthomieu, Pascal Hivert and Hussein Mourtada — Computing Hironaka’s invariants: ridge and directrix [ MR 2744029 ]
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Wouter Castryck and John Voight — Nondegenerate curves of low genus over small finite fields [ MR 2744030 ]
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Alexandre Venelli and François Dassance — Faster side-channel resistant elliptic curve scalar multiplication [ MR 2744031 ]
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Eric Férard and François Rodier — Non linéarité des fonctions booléennes données par des polynômes de degré binaire 3 définies sur $\Bbb F_{2^m}$ avec $m$ pair [ MR 2744032 ]
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Arnaldo Garcia and Henning Stichtenoth — A note on a maximal curve [ MR 2744033 ]
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David Gruenewald — Computing Humbert surfaces and applications [ MR 2744034 ]
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Enric Nart and Christophe Ritzenthaler — Genus 3 curves with many involutions and application to maximal curves in characteristic 2 [ MR 2744035 ]
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Alessandra Rigato — Uniqueness of low genus optimal curves over $\Bbb F_2$ [ MR 2744036 ]
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A. Silverberg — Group order formulas for reductions of CM elliptic curves [ MR 2744037 ]
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Benjamin Smith — Families of explicit isogenies of hyperelliptic Jacobians [ MR 2744038 ]
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Xavier Taixés i Ventosa and Gabor Wiese — Computing congruences of modular forms and Galois representations modulo prime powers [ MR 2744039 ]
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
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This volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from March 30 to April 3, 2009, as well as the first Geocrypt conference, held in Pointe-à-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography, held in Marseille, France from March 25 to 29, 2009.
The articles contained in this volume come from three related symposia organized by the group Arithmétique et Théorie de l'Information in Marseille. The topics cover arithmetic properties of curves and higher dimensional varieties with applications to codes and cryptography.
Graduate students and research mathematicians interested in arithmetic, geometry, and applications to coding and cryptography.
-
Articles
-
Yves Aubry and François Rodier — Differentially 4-uniform functions [ MR 2744028 ]
-
Jérémy Berthomieu, Pascal Hivert and Hussein Mourtada — Computing Hironaka’s invariants: ridge and directrix [ MR 2744029 ]
-
Wouter Castryck and John Voight — Nondegenerate curves of low genus over small finite fields [ MR 2744030 ]
-
Alexandre Venelli and François Dassance — Faster side-channel resistant elliptic curve scalar multiplication [ MR 2744031 ]
-
Eric Férard and François Rodier — Non linéarité des fonctions booléennes données par des polynômes de degré binaire 3 définies sur $\Bbb F_{2^m}$ avec $m$ pair [ MR 2744032 ]
-
Arnaldo Garcia and Henning Stichtenoth — A note on a maximal curve [ MR 2744033 ]
-
David Gruenewald — Computing Humbert surfaces and applications [ MR 2744034 ]
-
Enric Nart and Christophe Ritzenthaler — Genus 3 curves with many involutions and application to maximal curves in characteristic 2 [ MR 2744035 ]
-
Alessandra Rigato — Uniqueness of low genus optimal curves over $\Bbb F_2$ [ MR 2744036 ]
-
A. Silverberg — Group order formulas for reductions of CM elliptic curves [ MR 2744037 ]
-
Benjamin Smith — Families of explicit isogenies of hyperelliptic Jacobians [ MR 2744038 ]
-
Xavier Taixés i Ventosa and Gabor Wiese — Computing congruences of modular forms and Galois representations modulo prime powers [ MR 2744039 ]
