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);  .
<br/><br/>Includes bibliographical references. 
<br/><br/> 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 
<br/><br/> Access is restricted to licensed institutions 
<br/><br/><br/>Electronic reproduction. <br/>Providence, Rhode Island : <br/>American Mathematical Society. <br/>2012 
<br/><br/><br/>Mode of access : World Wide Web 
<br/><br/><label>ISBN: </label>9780821890271 (online) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Abelian varieties--Congresses.<br/>Dimension theory (Algebra)--Congresses.<br/>Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Abelian varieties of dimension $> 1$.<br/>Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves over finite and local fields.<br/>Number theory -- Zeta and $L$-functions: analytic theory -- Zeta and $L$-functions in characteristic $p$.<br/>Number theory -- Algebraic number theory: global fields -- Zeta functions and $L$-functions of number fields.<br/>Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Polynomials.<br/>Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Algebraic coding theory; cryptography.<br/>Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Zeta-functions and related questions.<br/>Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Finite ground fields.<br/>Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Applications to coding theory and cryptography.<br/>Algebraic geometry -- Computational aspects in algebraic geometry -- Curves.
<br/><br/><label>LC Class. No.: </label>QA564  / .I576 2011 
<br/><br/><label>Dewey Class. No.: </label>510