Algebraic curves and finite fields : cryptography and other applications / / edited by Harald Niederreiter [and three others] |
Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 |
Descrizione fisica | 1 online resource (254 p.) |
Disciplina | 516.352 |
Collana | Radon Series on Computational and Applied Mathematics |
Soggetto topico | Curves, Algebraic |
Soggetto genere / forma | Electronic books. |
ISBN | 3-11-037955-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Introduction -- Contents -- Generic Newton polygons for curves of given p-rank / Achter, Jeffrey D. / Pries, Rachel -- Good towers of function fields / Bassa, Alp / Beelen, Peter / Nguyen, Nhut -- Correlation-immune Boolean functions for easing counter measures to side-channel attacks / Carlet, Claude / Guilley, Sylvain -- The discrete logarithm problem with auxiliary inputs / Cheon, Jung Hee / Kim, Taechan / Song, Yongsoo -- Garden of curves with many automorphisms / Giulietti, Massimo / Korchmáros, Gábor -- Nonlinear shift registers - A survey and challenges / Helleseth, Tor -- Permutations of finite fields and uniform distribution modulo 1 / Pausinger, Florian / Topuzoğlu, Alev -- Semifields, relative difference sets, and bent functions / Pott, Alexander / Schmidt, Kai-Uwe / Zhou, Yue -- NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings / Steinfeld, Ron -- Analog of the Kronecker-Weber theorem in positive characteristic / Villa-Salvador, Gabriel D. -- Index -- Backmatter |
Record Nr. | UNINA-9910463848203321 |
Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic curves and finite fields : cryptography and other applications / / edited by Harald Niederreiter [and three others] |
Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 |
Descrizione fisica | 1 online resource (254 p.) |
Disciplina | 516.352 |
Collana | Radon Series on Computational and Applied Mathematics |
Soggetto topico | Curves, Algebraic |
ISBN | 3-11-037955-4 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Introduction -- Contents -- Generic Newton polygons for curves of given p-rank / Achter, Jeffrey D. / Pries, Rachel -- Good towers of function fields / Bassa, Alp / Beelen, Peter / Nguyen, Nhut -- Correlation-immune Boolean functions for easing counter measures to side-channel attacks / Carlet, Claude / Guilley, Sylvain -- The discrete logarithm problem with auxiliary inputs / Cheon, Jung Hee / Kim, Taechan / Song, Yongsoo -- Garden of curves with many automorphisms / Giulietti, Massimo / Korchmáros, Gábor -- Nonlinear shift registers - A survey and challenges / Helleseth, Tor -- Permutations of finite fields and uniform distribution modulo 1 / Pausinger, Florian / Topuzoğlu, Alev -- Semifields, relative difference sets, and bent functions / Pott, Alexander / Schmidt, Kai-Uwe / Zhou, Yue -- NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings / Steinfeld, Ron -- Analog of the Kronecker-Weber theorem in positive characteristic / Villa-Salvador, Gabriel D. -- Index -- Backmatter |
Record Nr. | UNINA-9910788561403321 |
Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic curves and finite fields : cryptography and other applications / / edited by Harald Niederreiter [and three others] |
Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 |
Descrizione fisica | 1 online resource (254 p.) |
Disciplina | 516.352 |
Collana | Radon Series on Computational and Applied Mathematics |
Soggetto topico | Curves, Algebraic |
ISBN | 3-11-037955-4 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Introduction -- Contents -- Generic Newton polygons for curves of given p-rank / Achter, Jeffrey D. / Pries, Rachel -- Good towers of function fields / Bassa, Alp / Beelen, Peter / Nguyen, Nhut -- Correlation-immune Boolean functions for easing counter measures to side-channel attacks / Carlet, Claude / Guilley, Sylvain -- The discrete logarithm problem with auxiliary inputs / Cheon, Jung Hee / Kim, Taechan / Song, Yongsoo -- Garden of curves with many automorphisms / Giulietti, Massimo / Korchmáros, Gábor -- Nonlinear shift registers - A survey and challenges / Helleseth, Tor -- Permutations of finite fields and uniform distribution modulo 1 / Pausinger, Florian / Topuzoğlu, Alev -- Semifields, relative difference sets, and bent functions / Pott, Alexander / Schmidt, Kai-Uwe / Zhou, Yue -- NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings / Steinfeld, Ron -- Analog of the Kronecker-Weber theorem in positive characteristic / Villa-Salvador, Gabriel D. -- Index -- Backmatter |
Record Nr. | UNINA-9910813134103321 |
Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic curves and projective geometry : proceedings of the conference held in Trento, Italy, March 21-25, 1988 / / edited by Edoardo Ballico and Ciro Ciliberto |
Edizione | [1st ed. 1989.] |
Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] |
Descrizione fisica | 1 online resource (VI, 290 p.) |
Disciplina | 516.35 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Mathematics - Study and teaching
Curves, Algebraic |
ISBN | 3-540-48188-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | On regular and stable ruled surfaces in P3 -- Appendix to "On regular and stable ruled surfaces in P3" -- Configurations of linear projective subvarieties -- Plane sections of arthmetically normal curves in ?3 -- Sur les lacunes d'Halphen -- Some results on the codimension-two Chow group of the moduli space of stable curves -- Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann -- La Rationalité des schémas de Hilbert de courbes gauches rationnelles suivant Katsylo -- Cohérence et dualité sur le gros site de Zariski -- Nouvelles fonctions constructibles et rang des images directes -- Generating six skew lines in ?3 -- Liaison of families of subschemes in Pn. -- On curves on K 3 surfaces -- Gonality and Hilbert schemes of smooth curves -- Geometry of complete cuspidal plane cubics -- Unobstructed arithmetically Buchsbaum curves -- On the Néron-Severi groups of the surfaces of special divisors -- Deformations of maps -- Green's conjecture for general P-gonal curves of large genus -- On rank-1 degenerations of abelian varieties -- Sur une conjecture de Griffiths et Harris -- Open problems. |
Record Nr. | UNISA-996466631403316 |
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
Algebraic curves and their applications / / Lubjana Beshaj, Tony Shaska, editors |
Autore | Beshaj Lubjana <1986-> |
Pubbl/distr/stampa | [Place of publication not identified] : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (358 pages) |
Disciplina | 516.352 |
Collana | Contemporary mathematics |
Soggetto topico | Curves, Algebraic |
ISBN | 1-4704-5153-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910793451503321 |
Beshaj Lubjana <1986->
![]() |
||
[Place of publication not identified] : , : American Mathematical Society, , [2019] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic curves and their applications / / Lubjana Beshaj, Tony Shaska, editors |
Autore | Beshaj Lubjana <1986-> |
Pubbl/distr/stampa | [Place of publication not identified] : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (358 pages) |
Disciplina | 516.352 |
Collana | Contemporary mathematics |
Soggetto topico | Curves, Algebraic |
ISBN | 1-4704-5153-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910808383703321 |
Beshaj Lubjana <1986->
![]() |
||
[Place of publication not identified] : , : American Mathematical Society, , [2019] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic curves and their applications / / Lubjana Beshaj, Tony Shaska, editors |
Pubbl/distr/stampa | [Place of publication not identified] : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (358 pages) |
Disciplina | 516.352 |
Collana | Contemporary mathematics |
Soggetto topico | Curves, Algebraic |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-5153-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910479993803321 |
[Place of publication not identified] : , : American Mathematical Society, , [2019] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
Descrizione fisica | 1 online resource (717 p.) |
Disciplina | 516.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4008-4741-9 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
Record Nr. | UNINA-9910465028903321 |
Hirschfeld J. W. P (James William Peter), <1940->
![]() |
||
Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
Descrizione fisica | 1 online resource (717 p.) |
Disciplina | 516.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
ISBN | 1-4008-4741-9 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
Record Nr. | UNINA-9910786795203321 |
Hirschfeld J. W. P (James William Peter), <1940->
![]() |
||
Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
Descrizione fisica | 1 online resource (717 p.) |
Disciplina | 516.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
ISBN | 1-4008-4741-9 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
Record Nr. | UNINA-9910812510203321 |
Hirschfeld J. W. P (James William Peter), <1940->
![]() |
||
Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|