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 / / Yves Aubry, Christophe Ritzenthaler, Alexey Zykin, editors

• Record Nr.: UNINA9910480985703321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2012]; ©2012
• ISBN: 0-8218-9027-1
• Descrizione fisica: 1 online resource (194 p.)
• Collana: Contemporary mathematics ; ; volume 574
• Disciplina: 510
• Soggetti: Abelian varieties; Dimension theory (Algebra); Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""