Algorithmic number theory : 5th international symposium, ANTS-V, Sydney, Australia, July 7-12, 2002 : proceedings

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Opis bibliograficzny
Korporacja: Algorithmic Number Theory Symposium :Sydney
Kolejni autorzy: Kohel, David R., 1966- (Dyrektor wydawnictwa), Fieker, Claus, 1969- (Dyrektor wydawnictwa)
Format: Livre numérique
Język:Anglais
Wydane: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seria:Lecture notes in computer science 2369
Hasła przedmiotowe:
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Komentarz: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Algorithmic number theory, 5th international symposium, ANTS-V, Sydney, Australia, July 7-12, 2002, proceedings, Claus Fieker, David R. Kohel (eds.), Berlin, Springer, 2002, 1 vol. (X-515 p.), Lecture notes in computer science, 3-540-43863-7
• Algorithmic Number Theory, Texte imprimé, 9783662210642
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260 |a Berlin [etc.] :  |b Springer. 
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505 0 |a Invited Talks -- Gauss Composition and Generalizations -- Elliptic Curves The Crossroads of Theory and Computation -- The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems -- Using Elliptic Curves of Rank One towards the Undecidability of Hilbert s Tenth Problem over Rings of Algebraic Integers -- On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields -- Number Theory -- On Arithmetically Equivalent Number Fields of Small Degree -- A Survey of Discriminant Counting -- A Higher-Rank Mersenne Problem -- An Application of Siegel Modular Functions to Kronecker s Limit Formula -- Computational Aspects of NUCOMP -- Efficient Computation of Class Numbers of Real Abelian Number Fields -- An Accelerated Buchmann Algorithm for Regulator Computation in Real Quadratic Fields -- Arithmetic Geometry -- Some Genus 3 Curves with Many Points -- Trinomials ax 7 + bx + c and ax 8 + bx + c with Galois Groups of Order 168 and 8 · 168 -- Computations on Modular Jacobian Surfaces -- Integral Points on Punctured Abelian Surfaces -- Genus 2 Curves with (3, 3)-Split Jacobian and Large Automorphism Group -- Transportable Modular Symbols and the Intersection Pairing -- Elliptic Curves and CM -- Action of Modular Correspondences around CM Points -- Curves Dy 2 = x 3 x of Odd Analytic Rank -- Comparing Invariants for Class Fields of Imaginary Quadratic Fields -- A Database of Elliptic Curves First Report -- Point Counting -- Isogeny Volcanoes and the SEA Algorithm -- Fast Elliptic Curve Point Counting Using Gaussian Normal Basis -- An Extension of Kedlaya s Algorithm to Artin-Schreier Curves in Characteristic 2 -- Cryptography -- Implementing the Tate Pairing -- Smooth Orders and Cryptographic Applications -- Chinese Remaindering for Algebraic Numbers in a Hidden Field.-Function Fields -- An Algorithm for Computing Weierstrass Points -- New Optimal Tame Towers of Function Fields over Small Finite Fields -- Periodic Continued Fractions in Elliptic Function Fields -- Discrete Logarithms and Factoring -- Fixed Points and Two-Cycles of the Discrete Logarithm -- Random Cayley Digraphs and the Discrete Logarithm -- The Function Field Sieve Is Quite Special -- MPQS with Three Large Primes -- An Improved Baby Step Giant Step Algorithm for Point Counting of Hyperelliptic Curves over Finite Fields -- Factoring N = pq 2 with the Elliptic Curve Method -- Gröbner Bases -- A New Scheme for Computing with Algebraically Closed Fields -- Complexity -- Additive Complexity and Roots of Polynomials over Number Fields and -adic Fields. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
650 |a Informatique 
650 |a Algorithmes 
650 |a Chiffrement (informatique) 
650 |a Analyse numérique 
650 |a Nombres, Théorie des 
650 |a Actes de congrès 
700 1 |a Kohel, David R.,  |d 1966-  |4 pbd 
700 1 |a Fieker, Claus,  |d 1969-  |4 pbd 
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