Arithmetic, geometry, cryptography and coding theory : 13th Conference on Arithmetic, Geometry, Cryptography and Coding Theory, March 14-18, 2011, CIRM, Marseille, France : Geocrypt 2011, June 19-24, 2011, Bastia, France / [electronic resource]
Yves Aubry, Christophe Ritzenthaler, Alexey Zykin, editors.
- Providence, R.I. : American Mathematical Society, c2012.
- 1 online resource (183 p.)
- Contemporary mathematics, v. 574 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
Construction of a $\Bbbk $-complete addition law on Jacobians of hyperelliptic curves of genus two / Number of points in an Artin-Schreier covering / Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents / Rational curves with many rational points over a finite field / Enumeration of Splitting Subspaces over Finite Fields / The characteristic polynomials of abelian varieties of dimension 4 over finite fields / New bounds on the maximum number of points on genus-$4$ curves over small finite fields / Some planar maps and related function fields / New families of APN functions in characteristic 3 or 5 / Identities for Kloosterman sums and modular curves / Degree growth, linear independence and periods of a class of rational dynamical systems / Computer search for curves with many points among abelian covers of genus 2 curves / The groups of points on abelian surfaces over finite fields / Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method / Hodge classes on certain hyperelliptic prymians / Christophe Ar�ene and Romain Cosset -- R�egis Blache -- Eric F�erard, Roger Oyono and Fran�cois Rodier -- Satoru Fukasawa, Masaaki Homma and Seon Jeong Kim -- Sudhir R. Ghorpade and Samrith Ram -- Safia Haloui and Vijaykumar Singh -- Everett W. Howe -- Gohar M. Kyureghyan, Ferruh �Ozbudak and Alexander Pott -- Elodie Leducq -- Petr Lison�ek -- Alina Ostafe and Igor Shparlinski -- Karl R�okaeus -- Sergey Rybakov -- Benjamin Smith -- Yuri G. Zarhin -- http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11429 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11427 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11423 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11420 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11430 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11446 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11431 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11425 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11419 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11421 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11426 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11422 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11424 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11418 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11432
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821890271 (online)
Abelian varieties--Congresses.
Dimension theory (Algebra)--Congresses.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Abelian varieties of dimension $> 1$.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves over finite and local fields.
Number theory -- Zeta and $L$-functions: analytic theory -- Zeta and $L$-functions in characteristic $p$.
Number theory -- Algebraic number theory: global fields -- Zeta functions and $L$-functions of number fields.
Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Polynomials.
Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Algebraic coding theory; cryptography.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Zeta-functions and related questions.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Finite ground fields.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Applications to coding theory and cryptography.
Algebraic geometry -- Computational aspects in algebraic geometry -- Curves.
QA564 / .I576 2011
510
Includes bibliographical references.
Construction of a $\Bbbk $-complete addition law on Jacobians of hyperelliptic curves of genus two / Number of points in an Artin-Schreier covering / Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents / Rational curves with many rational points over a finite field / Enumeration of Splitting Subspaces over Finite Fields / The characteristic polynomials of abelian varieties of dimension 4 over finite fields / New bounds on the maximum number of points on genus-$4$ curves over small finite fields / Some planar maps and related function fields / New families of APN functions in characteristic 3 or 5 / Identities for Kloosterman sums and modular curves / Degree growth, linear independence and periods of a class of rational dynamical systems / Computer search for curves with many points among abelian covers of genus 2 curves / The groups of points on abelian surfaces over finite fields / Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method / Hodge classes on certain hyperelliptic prymians / Christophe Ar�ene and Romain Cosset -- R�egis Blache -- Eric F�erard, Roger Oyono and Fran�cois Rodier -- Satoru Fukasawa, Masaaki Homma and Seon Jeong Kim -- Sudhir R. Ghorpade and Samrith Ram -- Safia Haloui and Vijaykumar Singh -- Everett W. Howe -- Gohar M. Kyureghyan, Ferruh �Ozbudak and Alexander Pott -- Elodie Leducq -- Petr Lison�ek -- Alina Ostafe and Igor Shparlinski -- Karl R�okaeus -- Sergey Rybakov -- Benjamin Smith -- Yuri G. Zarhin -- http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11429 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11427 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11423 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11420 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11430 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11446 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11431 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11425 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11419 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11421 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11426 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11422 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11424 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11418 http://www.ams.org/conm/574/ http://dx.doi.org/10.1090/conm/574/11432
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821890271 (online)
Abelian varieties--Congresses.
Dimension theory (Algebra)--Congresses.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Abelian varieties of dimension $> 1$.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves over finite and local fields.
Number theory -- Zeta and $L$-functions: analytic theory -- Zeta and $L$-functions in characteristic $p$.
Number theory -- Algebraic number theory: global fields -- Zeta functions and $L$-functions of number fields.
Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Polynomials.
Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Algebraic coding theory; cryptography.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Zeta-functions and related questions.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Finite ground fields.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Applications to coding theory and cryptography.
Algebraic geometry -- Computational aspects in algebraic geometry -- Curves.
QA564 / .I576 2011
510