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.: UNINA9910788637903321
• 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, ; 574 , 0271-4132
• Classificazione: 11G1011G2011M3811R4211T0611T7114G1014G1514G5014Q05
• Disciplina: 510
• Soggetti: Abelian varieties; Dimension theory (Algebra)
• 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.