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Arithmetic, Geometry, Cryptography and Coding Theory
 
Edited by: Stéphane Ballet :  Université d’Aix-Marseille, Marseille, France
Gaetan Bisson :  Université de la Polynésie Française, Faaa, French Polynesia
Irene Bouw :  Universität Ulm, Ulm, Germany
Arithmetic, Geometry, Cryptography and Coding Theory
Softcover ISBN:  978-1-4704-5426-5
Product Code:  CONM/770
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
eBook ISBN:  978-1-4704-6426-4
Product Code:  CONM/770.E
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
Softcover ISBN:  978-1-4704-5426-5
eBook: ISBN:  978-1-4704-6426-4
Product Code:  CONM/770.B
List Price: $244.00 $183.00
MAA Member Price: $219.60 $164.70
AMS Member Price: $195.20 $146.40
Add to cart
Arithmetic, Geometry, Cryptography and Coding Theory
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Arithmetic, Geometry, Cryptography and Coding Theory
Edited by: Stéphane Ballet :  Université d’Aix-Marseille, Marseille, France
Gaetan Bisson :  Université de la Polynésie Française, Faaa, French Polynesia
Irene Bouw :  Universität Ulm, Ulm, Germany
Softcover ISBN:  978-1-4704-5426-5
Product Code:  CONM/770
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
eBook ISBN:  978-1-4704-6426-4
Product Code:  CONM/770.E
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
Softcover ISBN:  978-1-4704-5426-5
eBook ISBN:  978-1-4704-6426-4
Product Code:  CONM/770.B
List Price: $244.00 $183.00
MAA Member Price: $219.60 $164.70
AMS Member Price: $195.20 $146.40
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 770; 2021; 303 pp
    MSC: Primary 11; 14; 20; 51; 94

    This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series.

    Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.
    Readership

    Graduate students and research mathematicians interested in explicit methods in arithmetic and algebraic geometry with applications to coding theory, cryptography and algorithmic complexity.
  • Table of Contents
     
     
    • Articles
    • Salam A. F. Alabdullah and James W. P. Hirschfeld — A new upper bound for the largest complete \boldmath$(k,n)$-arc in \boldmath$\mathrm {PG}(2,q)$
    • Yves Aubry, Elena Berardini, Fabien Herbaut and Marc Perret — Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces
    • Stéphane Ballet, Gilles Lachaud and Robert Rolland — On the number of effective divisors in algebraic function fields defined over a finite field
    • Alina Carmen Cojocaru and Matthew Fitzpatrick — The absolute discriminant of the endomorphism ring of most reductions of a non-CM elliptic curve is close to maximal
    • Alain Couvreur, Philippe Lebacque and Marc Perret — Toward good families of codes from towers of surfaces
    • Francesc Fité, Kiran S. Kedlaya and Andrew V. Sutherland — Sato–Tate groups of abelian threefolds: a preview of the classification
    • Sudhir R. Ghorpade, Christophe Ritzenthaler, François Rodier and Michael A. Tsfasman — Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud
    • Richard Griffon and Guus de Wit — Elliptic curves with large Tate–Shafarevich groups over \boldmath$\mathbb {F}_q(t)$
    • David Kohel and Yih-Dar Shieh — On Sato–Tate distributions, extremal traces, and real multiplication in genus 2
    • Gilles Lachaud — La trace et le deltoïde de \boldmath$\boldsymbol {\operatorname {SU}}(3)$
    • Reynald Lercier, Elisa Lorenzo García and Christophe Ritzenthaler — Stable models of plane quartics with hyperelliptic reduction
    • Jean-François Mestre — Courbes de genre \boldmath$3$ avec \boldmath$S_3$ comme groupe d’automorphismes
    • Fabien Pazuki — Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité
    • Hugues Randriambololona — The quadratic hull of a code and the geometric view on multiplication algorithms
    • Jaap Top — Serre’s genus fifty example
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 770; 2021; 303 pp
MSC: Primary 11; 14; 20; 51; 94

This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series.

Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.
Readership

Graduate students and research mathematicians interested in explicit methods in arithmetic and algebraic geometry with applications to coding theory, cryptography and algorithmic complexity.
  • Articles
  • Salam A. F. Alabdullah and James W. P. Hirschfeld — A new upper bound for the largest complete \boldmath$(k,n)$-arc in \boldmath$\mathrm {PG}(2,q)$
  • Yves Aubry, Elena Berardini, Fabien Herbaut and Marc Perret — Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces
  • Stéphane Ballet, Gilles Lachaud and Robert Rolland — On the number of effective divisors in algebraic function fields defined over a finite field
  • Alina Carmen Cojocaru and Matthew Fitzpatrick — The absolute discriminant of the endomorphism ring of most reductions of a non-CM elliptic curve is close to maximal
  • Alain Couvreur, Philippe Lebacque and Marc Perret — Toward good families of codes from towers of surfaces
  • Francesc Fité, Kiran S. Kedlaya and Andrew V. Sutherland — Sato–Tate groups of abelian threefolds: a preview of the classification
  • Sudhir R. Ghorpade, Christophe Ritzenthaler, François Rodier and Michael A. Tsfasman — Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud
  • Richard Griffon and Guus de Wit — Elliptic curves with large Tate–Shafarevich groups over \boldmath$\mathbb {F}_q(t)$
  • David Kohel and Yih-Dar Shieh — On Sato–Tate distributions, extremal traces, and real multiplication in genus 2
  • Gilles Lachaud — La trace et le deltoïde de \boldmath$\boldsymbol {\operatorname {SU}}(3)$
  • Reynald Lercier, Elisa Lorenzo García and Christophe Ritzenthaler — Stable models of plane quartics with hyperelliptic reduction
  • Jean-François Mestre — Courbes de genre \boldmath$3$ avec \boldmath$S_3$ comme groupe d’automorphismes
  • Fabien Pazuki — Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité
  • Hugues Randriambololona — The quadratic hull of a code and the geometric view on multiplication algorithms
  • Jaap Top — Serre’s genus fifty example
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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