03841nam 2200589 450 991081537310332120220824045614.00-8218-9027-1(CKB)3240000000070097(EBL)3113285(SSID)ssj0000700793(PQKBManifestationID)11940500(PQKBTitleCode)TC0000700793(PQKBWorkID)10661505(PQKB)11691907(MiAaPQ)EBC3113285(RPAM)17274766(PPN)197102174(EXLCZ)99324000000007009720120427h20122012 uy| 0engur|n|---|||||txtccrArithmetic, 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 /Yves Aubry, Christophe Ritzenthaler, Alexey Zykin, editorsProvidence, Rhode Island :American Mathematical Society,[2012]©20121 online resource (194 p.)Contemporary mathematics,5740271-4132Description based upon print version of record.0-8218-7572-8 Includes bibliographical references.Preface -- Construction of a complete addition law on Jacobians of hyperelliptic curves of genus two -- 1. Introduction -- 2. Construction -- Appendix A. Operation count -- References -- Number of points in an Artin-Schreier covering -- Introduction -- 1. Number of points in Artin-Schreier coverings: Weil bound -- 2. Study of an etale sheaf attached to a family of exponential sums -- 3. Cohomology spaces, and the proof of the theorem -- 4. Global monodromy, and a refinement of the theorem -- References -- Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents -- 1. Introduction -- 2. Preliminaries -- 3. Some functions that are not APN infinitely often -- 4. Polynomials of Kasami degree -- 5. Binomials that are not APN infinitely often -- References -- Rational curves with many rational points over a finite field -- 1. Introduction -- 2. Arithmetic of the curve -- 3. Geometry of with _{ }-lines, for odd -- 4. Geometry of with _{ }-lines, for even -- 5. Codes from Ballico-Hefez curves -- 6. Generalization of the curve -- References -- Enumeration of Splitting Subspaces over Finite Fields -- 1. Introduction -- 2. Easy cases and guesses -- 3. Splitting planes -- 4. Refinements and Extensions -- Appendix A. Vector Recurrences and Singer Cycles -- References -- The characteristic polynomials of abelian varieties of dimension 4 over finite fields -- 1. Introduction and results -- 2. The coefficients of Weil polynomials of degree 8 -- 3. Newton polygons -- 4. Supersingular case -- Acknowledgements -- References -- Degree growth, linear independence and periods of a class of rational dynamical systems.Contemporary mathematics (American Mathematical Society).5740271-4132Abelian varietiesCongressesDimension theory (Algebra)CongressesAbelian varietiesDimension theory (Algebra)51011G1011G2011M3811R4211T0611T7114G1014G1514G5014Q05mscAubry Yves1965-Ritzenthaler Christophe1976-Zykin Alexey1984-Geocrypt Conference(2011 :Bastia, France),MiAaPQMiAaPQMiAaPQBOOK9910815373103321Arithmetic, geometry, cryptography, and coding theory240365UNINA