The Resource Algorithmic Number Theory : 5th International Symposium, ANTS-V Sydney, Australia, July 7–12, 2002 Proceedings, edited by Claus Fieker, David R. Kohel, (electronic resource)

Algorithmic Number Theory : 5th International Symposium, ANTS-V Sydney, Australia, July 7–12, 2002 Proceedings, edited by Claus Fieker, David R. Kohel, (electronic resource)

Label
Algorithmic Number Theory : 5th International Symposium, ANTS-V Sydney, Australia, July 7–12, 2002 Proceedings
Title
Algorithmic Number Theory
Title remainder
5th International Symposium, ANTS-V Sydney, Australia, July 7–12, 2002 Proceedings
Statement of responsibility
edited by Claus Fieker, David R. Kohel
Creator
Contributor
Editor
Provider
Subject
Language
eng
Summary
This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002. The 34 revised full papers presented together with 5 invited papers have gone through a thorough round of reviewing, selection and revision. The papers are organized in topical sections on number theory, arithmetic geometry, elliptic curves and CM, point counting, cryptography, function fields, discrete logarithms and factoring, Groebner bases, and complexity
Member of
http://library.link/vocab/creatorName
Fieker, Claus
Image bit depth
0
LC call number
QA76.9.A43
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Kohel, David R.
  • SpringerLink
Series statement
Lecture Notes in Computer Science,
Series volume
2369
http://library.link/vocab/subjectName
  • Computer science
  • Data encryption (Computer science)
  • Computer software
  • Electronic data processing
  • Computational complexity
  • Field theory (Physics)
  • Algorithms
  • Computer Science
  • Algorithm Analysis and Problem Complexity
  • Discrete Mathematics in Computer Science
  • Numeric Computing
  • Data Encryption
  • Algorithms
  • Field Theory and Polynomials
Label
Algorithmic Number Theory : 5th International Symposium, ANTS-V Sydney, Australia, July 7–12, 2002 Proceedings, edited by Claus Fieker, David R. Kohel, (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 -- 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
Dimensions
unknown
Extent
X, 522 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540454557
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/3-540-45455-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-45455-7
Label
Algorithmic Number Theory : 5th International Symposium, ANTS-V Sydney, Australia, July 7–12, 2002 Proceedings, edited by Claus Fieker, David R. Kohel, (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 -- 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
Dimensions
unknown
Extent
X, 522 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540454557
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/3-540-45455-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-45455-7

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