Arithmetic geometry : computation and applications : 16th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, June 19-23, 2017, Centre International de Rencontres Mathematiques, Marseille, France / / Yves Aubry, Everett W. Howe, Christophe Ritzenthaler, editors |
Autore | Aubry Yves <1965-> |
Pubbl/distr/stampa | United States of America : , : American Mathematical Society, , 2019 |
Descrizione fisica | 1 online resource (186 pages) |
Disciplina | 512.74 |
Collana | Contemporary mathematics |
Soggetto topico |
Coding theory
Geometry, Algebraic Cryptography Number theory |
ISBN | 1-4704-5104-2 |
Classificazione | 11G2011G3011G3211G4011T7114G1014hH4014Q0520C2020G41 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910793321203321 |
Aubry Yves <1965->
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United States of America : , : American Mathematical Society, , 2019 | ||
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Lo trovi qui: Univ. Federico II | ||
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Arithmetic geometry : computation and applications : 16th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, June 19-23, 2017, Centre International de Rencontres Mathematiques, Marseille, France / / Yves Aubry, Everett W. Howe, Christophe Ritzenthaler, editors |
Autore | Aubry Yves <1965-> |
Pubbl/distr/stampa | United States of America : , : American Mathematical Society, , 2019 |
Descrizione fisica | 1 online resource (186 pages) |
Disciplina | 512.74 |
Collana | Contemporary mathematics |
Soggetto topico |
Coding theory
Geometry, Algebraic Cryptography Number theory |
ISBN | 1-4704-5104-2 |
Classificazione | 11G2011G3011G3211G4011T7114G1014hH4014Q0520C2020G41 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910816973403321 |
Aubry Yves <1965->
![]() |
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United States of America : , : American Mathematical Society, , 2019 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Arithmetic geometry : computation and applications : 16th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, June 19-23, 2017, Centre International de Rencontres Mathematiques, Marseille, France / / Yves Aubry, Everett W. Howe, Christophe Ritzenthaler, editors |
Pubbl/distr/stampa | United States of America : , : American Mathematical Society, , 2019 |
Descrizione fisica | 1 online resource (186 pages) |
Disciplina | 512.74 |
Collana | Contemporary mathematics |
Soggetto topico |
Coding theory
Geometry, Algebraic Cryptography Number theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-5104-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910480226503321 |
United States of America : , : American Mathematical Society, , 2019 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
Descrizione fisica | 1 online resource (194 p.) |
Disciplina | 510 |
Collana | Contemporary mathematics |
Soggetto topico |
Abelian varieties
Dimension theory (Algebra) |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-9027-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910480985703321 |
Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
Descrizione fisica | 1 online resource (194 p.) |
Disciplina | 510 |
Collana | Contemporary mathematics |
Soggetto topico |
Abelian varieties
Dimension theory (Algebra) |
ISBN | 0-8218-9027-1 |
Classificazione | 11G1011G2011M3811R4211T0611T7114G1014G1514G5014Q05 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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. |
Record Nr. | UNINA-9910788637903321 |
Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
Descrizione fisica | 1 online resource (194 p.) |
Disciplina | 510 |
Collana | Contemporary mathematics |
Soggetto topico |
Abelian varieties
Dimension theory (Algebra) |
ISBN | 0-8218-9027-1 |
Classificazione | 11G1011G2011M3811R4211T0611T7114G1014G1514G5014Q05 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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. |
Record Nr. | UNINA-9910815373103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
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Lo trovi qui: Univ. Federico II | ||
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Arithmetic, geometry, cryptography, and coding theory : international conference, November 5-9, 2007, CIRM, Marseilles, France / / Gilles Lachaud, Christophe Ritzenthaler, Michael A. Tsfasman, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
Descrizione fisica | 1 online resource (219 p.) |
Disciplina | 510 |
Collana | Contemporary mathematics |
Soggetto topico |
Arithmetical algebraic geometry
Coding theory Cryptography |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-8166-3
0-8218-4716-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Preface""; ""On the fourth moment of theta functions at their central point""; ""On the construction of Galois towers""; ""Codes defined by forms of degree 2 on quadric varieties in P4(Fq)""; ""Curves of genus 2 with elliptic differentials and associated Hurwitz spaces""; ""A note on the Giulietti-Korchmaros maximal curve""; ""Subclose families, threshold graphs, and the weight hierarchy of Grassmann and Schubert codes""; ""Characteristic polynomials of automorphisms of hyperelliptic curves""; ""Breaking the Akiyama-Goto cryptosystem"" |
Record Nr. | UNINA-9910479933303321 |
Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
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Lo trovi qui: Univ. Federico II | ||
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Arithmetic, geometry, cryptography, and coding theory : international conference, November 5-9, 2007, CIRM, Marseilles, France / / Gilles Lachaud, Christophe Ritzenthaler, Michael A. Tsfasman, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
Descrizione fisica | 1 online resource (219 p.) |
Disciplina | 510 |
Collana | Contemporary mathematics |
Soggetto topico |
Arithmetical algebraic geometry
Coding theory Cryptography |
ISBN |
0-8218-8166-3
0-8218-4716-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- On the fourth moment of theta functions at their central point -- On the construction of Galois towers -- Codes defined by forms of degree 2 on quadric varieties in P4(Fq) -- Curves of genus 2 with elliptic differentials and associated Hurwitz spaces -- A note on the Giulietti-Korchmaros maximal curve -- Subclose families, threshold graphs, and the weight hierarchy of Grassmann and Schubert codes -- Characteristic polynomials of automorphisms of hyperelliptic curves -- Breaking the Akiyama-Goto cryptosystem. |
Record Nr. | UNINA-9910788796803321 |
Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
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Lo trovi qui: Univ. Federico II | ||
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Arithmetic, geometry, cryptography, and coding theory : international conference, November 5-9, 2007, CIRM, Marseilles, France / / Gilles Lachaud, Christophe Ritzenthaler, Michael A. Tsfasman, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
Descrizione fisica | 1 online resource (219 p.) |
Disciplina | 510 |
Collana | Contemporary mathematics |
Soggetto topico |
Arithmetical algebraic geometry
Coding theory Cryptography |
ISBN |
0-8218-8166-3
0-8218-4716-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- On the fourth moment of theta functions at their central point -- On the construction of Galois towers -- Codes defined by forms of degree 2 on quadric varieties in P4(Fq) -- Curves of genus 2 with elliptic differentials and associated Hurwitz spaces -- A note on the Giulietti-Korchmaros maximal curve -- Subclose families, threshold graphs, and the weight hierarchy of Grassmann and Schubert codes -- Characteristic polynomials of automorphisms of hyperelliptic curves -- Breaking the Akiyama-Goto cryptosystem. |
Record Nr. | UNINA-9910808664203321 |
Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
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Lo trovi qui: Univ. Federico II | ||
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