Algorithmic Number Theory : 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002. Proceedings

Corporate Author: SpringerLink (Online service)
Other Authors: Fieker, Claus (Editor), Kohel, David R. (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Series:Lecture Notes in Computer Science
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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100 1 |a Fieker, Claus  |e [editor] 
245 0 0 |a Algorithmic Number Theory  |h Elektronische Ressource  |b 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002. Proceedings  |c edited by Claus Fieker, David R. Kohel 
250 |a 1st ed. 2002 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2002, 2002 
300 |a X, 522 p  |b online resource 
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 --  
505 0 |a 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 --  
505 0 |a 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 
653 |a Computer science—Mathematics 
653 |a Number theory 
653 |a Discrete Mathematics in Computer Science 
653 |a Algorithms 
653 |a Cryptology 
653 |a Algorithms 
653 |a Numeric Computing 
653 |a Number Theory 
653 |a Data encryption (Computer science) 
653 |a Numerical analysis 
653 |a Algorithm Analysis and Problem Complexity 
700 1 |a Kohel, David R.  |e [editor] 
710 2 |a SpringerLink (Online service) 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Lecture Notes in Computer Science 
856 |u https://doi.org/10.1007/3-540-45455-1?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 512.7