The Resource Algorithmic Number Theory : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000. Proceedings, edited by Wieb Bosma, (electronic resource)

Algorithmic Number Theory : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000. Proceedings, edited by Wieb Bosma, (electronic resource)

Label
Algorithmic Number Theory : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000. Proceedings
Title
Algorithmic Number Theory
Title remainder
4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000. Proceedings
Statement of responsibility
edited by Wieb Bosma
Creator
Contributor
Editor
Provider
Subject
Language
eng
Summary
This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums
Member of
http://library.link/vocab/creatorName
Bosma, Wieb
Image bit depth
0
LC call number
QA76.9.A43
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Computer Science,
Series volume
1838
http://library.link/vocab/subjectName
  • Computer science
  • Data encryption (Computer science)
  • Computer software
  • Computational complexity
  • Algebra
  • Number theory
  • Computer Science
  • Algorithm Analysis and Problem Complexity
  • Symbolic and Algebraic Manipulation
  • Data Encryption
  • Number Theory
  • Discrete Mathematics in Computer Science
Label
Algorithmic Number Theory : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000. Proceedings, edited by Wieb Bosma, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Invited Talks -- The Complexity of Some Lattice Problems -- Rational Points Near Curves and Small Nonzero | x 3 ? y 2| via Lattice Reduction -- Coverings of Curves of Genus 2 -- Lattice Reduction in Cryptology: An Update -- Contributed Papers -- Construction of Secure C ab Curves Using Modular Curves -- Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions -- New Results on Lattice Basis Reduction in Practice -- Baby-Step Giant-Step Algorithms for Non-uniform Distributions -- On Powers as Sums of Two Cubes -- Factoring Polynomials over ?-Adic Fields -- Strategies in Filtering in the Number Field Sieve -- Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments -- Computing Special Values of Partial Zeta Functions -- Construction of Tables of Quartic Number Fields -- Counting Discriminants of Number Fields of Degree up to Four -- On Reconstruction of Algebraic Numbers -- Dissecting a Sieve to Cut Its Need for Space -- Counting Points on Hyperelliptic Curves over Finite Fields -- Modular Forms for GL(3) and Galois Representations -- Modular Symbols and Hecke Operators -- Fast Jacobian Group Arithmetic on C ab Curves -- Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem -- A One Round Protocol for Tripartite Diffie–Hellman -- On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields -- Component Groups of Quotients of J 0(N) -- Fast Computation of Relative Class Numbers of CM-Fields -- On Probable Prime Testing and the Computation of Square Roots mod n -- Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves -- Central Values of Artin L-Functions for Quaternion Fields -- The Pseudoprimes up to 1013 -- Computing the Number of Goldbach Partitions up to 5 108 -- Numerical Verification of the Brumer-Stark Conjecture -- Explicit Models of Genus 2 Curves with Split CM -- Reduction in Purely Cubic Function Fields of Unit Rank One -- Factorization in the Composition Algebras -- A Fast Algorithm for Approximately Counting Smooth Numbers -- Computing All Integer Solutions of a General Elliptic Equation -- A Note on Shanks’s Chains of Primes -- Asymptotically Fast Discrete Logarithms in Quadratic Number Fields -- Asymptotically Fast GCD Computation in ?[i]
Dimensions
unknown
Extent
IX, 612 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540449942
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/10722028
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-44994-2
Label
Algorithmic Number Theory : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000. Proceedings, edited by Wieb Bosma, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Invited Talks -- The Complexity of Some Lattice Problems -- Rational Points Near Curves and Small Nonzero | x 3 ? y 2| via Lattice Reduction -- Coverings of Curves of Genus 2 -- Lattice Reduction in Cryptology: An Update -- Contributed Papers -- Construction of Secure C ab Curves Using Modular Curves -- Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions -- New Results on Lattice Basis Reduction in Practice -- Baby-Step Giant-Step Algorithms for Non-uniform Distributions -- On Powers as Sums of Two Cubes -- Factoring Polynomials over ?-Adic Fields -- Strategies in Filtering in the Number Field Sieve -- Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments -- Computing Special Values of Partial Zeta Functions -- Construction of Tables of Quartic Number Fields -- Counting Discriminants of Number Fields of Degree up to Four -- On Reconstruction of Algebraic Numbers -- Dissecting a Sieve to Cut Its Need for Space -- Counting Points on Hyperelliptic Curves over Finite Fields -- Modular Forms for GL(3) and Galois Representations -- Modular Symbols and Hecke Operators -- Fast Jacobian Group Arithmetic on C ab Curves -- Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem -- A One Round Protocol for Tripartite Diffie–Hellman -- On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields -- Component Groups of Quotients of J 0(N) -- Fast Computation of Relative Class Numbers of CM-Fields -- On Probable Prime Testing and the Computation of Square Roots mod n -- Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves -- Central Values of Artin L-Functions for Quaternion Fields -- The Pseudoprimes up to 1013 -- Computing the Number of Goldbach Partitions up to 5 108 -- Numerical Verification of the Brumer-Stark Conjecture -- Explicit Models of Genus 2 Curves with Split CM -- Reduction in Purely Cubic Function Fields of Unit Rank One -- Factorization in the Composition Algebras -- A Fast Algorithm for Approximately Counting Smooth Numbers -- Computing All Integer Solutions of a General Elliptic Equation -- A Note on Shanks’s Chains of Primes -- Asymptotically Fast Discrete Logarithms in Quadratic Number Fields -- Asymptotically Fast GCD Computation in ?[i]
Dimensions
unknown
Extent
IX, 612 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540449942
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/10722028
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-44994-2

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