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The Resource Algorithmic Number Theory : Third International Symposiun, ANTSIII Portland, Oregon, USA, June 21–25, 1998 Proceedings, edited by Joe P. Buhler, (electronic resource)
Algorithmic Number Theory : Third International Symposiun, ANTSIII Portland, Oregon, USA, June 21–25, 1998 Proceedings, edited by Joe P. Buhler, (electronic resource)
Resource Information
The item Algorithmic Number Theory : Third International Symposiun, ANTSIII Portland, Oregon, USA, June 21–25, 1998 Proceedings, edited by Joe P. Buhler, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Algorithmic Number Theory : Third International Symposiun, ANTSIII Portland, Oregon, USA, June 21–25, 1998 Proceedings, edited by Joe P. Buhler, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This book constitutes the refereed proceedings of the Third International Symposium on Algorithmic Number Theory, ANTSIII, held in Portland, Oregon, USA, in June 1998. The volume presents 46 revised full papers together with two invited surveys. The papers are organized in chapters on gcd algorithms, primality, factoring, sieving, analytic number theory, cryptography, linear algebra and lattices, series and sums, algebraic number fields, class groups and fields, curves, and function fields
 Language
 eng
 Extent
 X, 646 p.
 Contents

 Shimura curve computations
 The Decision DiffieHellman problem
 Parallel implementation of Schönhage's integer GCD algorithm
 The complete analysis of the binary Euclidean algorithm
 Cyclotomy primality proving — Recent developments
 Primality proving using elliptic curves: An update
 Bounding smooth integers (extended abstract)
 Factorization of the numbers of the form m 3 + c 2 m 2 + c 1 m + c 0
 Modelling the yield of number field sieve polynomials
 A Montgomerylike square root for the Number Field Sieve
 Robert Bennion's “hopping sieve”
 Trading time for space in prime number sieves
 Do sums of 4 biquadrates have a positive density?
 New experimental results concerning the Goldbach conjecture
 Dense admissible sets
 An analytic approach to smooth polynomials over finite fields
 Generating a product of three primes with an unknown factorization
 On the performance of signature schemes based on elliptic curves
 NTRU: A ringbased public key cryptosystem
 Finding length3 positive Cunningham chains and their cryptographic significance
 Reducing ideal arithmetic to linear algebra problems
 Evaluation of linear relations between vectors of a lattice in euclidean space
 An efficient parallel blockreduction algorithm
 Fast multiprecision evaluation of series of rational numbers
 A problem concerning a character sum
 Formal power series and their continued fraction expansion
 Imprimitive octic fields with small discriminants
 A table of totally complex number fields of small discriminants
 Generating arithmetically equivalent number fields with elliptic curves
 Computing the lead term of an abelian Lfunction
 Timing analysis of targeted hunter searches
 On successive minima of rings of algebraic integers
 Computation of relative quadratic class groups
 Generating class fields using Shimura reciprocity
 Irregularity of prime numbers over real quadratic fields
 Experimental results on class groups of real quadratic fields
 Computation of relative class numbers of imaginary cyclic fields of 2power degrees
 Formal groups, elliptic curves, and some theorems of Couveignes
 A comparison of direct and indirect methods for computing Selmer groups of an elliptic curve
 An algorithm for approximate counting of points on algebraic sets over finite fields
 Sintegral points on elliptic curves and Fermat's triple equations
 Speeding up Pollard's rho method for computing discrete logarithms
 A general method of constructing global function fields with many rational places
 Lattice basis reduction in function fields
 Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves
 Unit computation in purely cubic function fields of unit rank 1
 An improved method of computing the regulator of a real quadratic function field
 The equivalence between elliptic curve and quadratic function field discrete logarithms in characteristic 2
 Isbn
 9783540691136
 Label
 Algorithmic Number Theory : Third International Symposiun, ANTSIII Portland, Oregon, USA, June 21–25, 1998 Proceedings
 Title
 Algorithmic Number Theory
 Title remainder
 Third International Symposiun, ANTSIII Portland, Oregon, USA, June 21–25, 1998 Proceedings
 Statement of responsibility
 edited by Joe P. Buhler
 Subject

 Algebra  Data processing
 Number theory
 Computer science
 Number theory
 Computer science
 Computer software
 Number Theory
 Algorithm Analysis and Problem Complexity
 Number Theory
 Computer Science
 Computer Science
 Electronic resources
 Algorithms
 Algorithms
 Data encryption (Computer science)
 Computer software
 Algebra  Data processing
 Computer software
 Data encryption (Computer science)
 Number theory
 Algebra  Data processing
 Number Theory
 Algorithms
 Computer Science
 Computer science
 Data Encryption
 Data encryption (Computer science)
 Symbolic and Algebraic Manipulation
 Language
 eng
 Summary
 This book constitutes the refereed proceedings of the Third International Symposium on Algorithmic Number Theory, ANTSIII, held in Portland, Oregon, USA, in June 1998. The volume presents 46 revised full papers together with two invited surveys. The papers are organized in chapters on gcd algorithms, primality, factoring, sieving, analytic number theory, cryptography, linear algebra and lattices, series and sums, algebraic number fields, class groups and fields, curves, and function fields
 http://library.link/vocab/creatorName
 Buhler, Joe P
 Image bit depth
 0
 LC call number
 QA76.9.M35
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Lecture Notes in Computer Science,
 Series volume
 1423
 http://library.link/vocab/subjectName

 Computer science
 Data encryption (Computer science)
 Computer software
 Algebra
 Algorithms
 Number theory
 Computer Science
 Symbolic and Algebraic Manipulation
 Algorithm Analysis and Problem Complexity
 Data Encryption
 Algorithms
 Number Theory
 Label
 Algorithmic Number Theory : Third International Symposiun, ANTSIII Portland, Oregon, USA, June 21–25, 1998 Proceedings, edited by Joe P. Buhler, (electronic resource)
 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
 Shimura curve computations  The Decision DiffieHellman problem  Parallel implementation of Schönhage's integer GCD algorithm  The complete analysis of the binary Euclidean algorithm  Cyclotomy primality proving — Recent developments  Primality proving using elliptic curves: An update  Bounding smooth integers (extended abstract)  Factorization of the numbers of the form m 3 + c 2 m 2 + c 1 m + c 0  Modelling the yield of number field sieve polynomials  A Montgomerylike square root for the Number Field Sieve  Robert Bennion's “hopping sieve”  Trading time for space in prime number sieves  Do sums of 4 biquadrates have a positive density?  New experimental results concerning the Goldbach conjecture  Dense admissible sets  An analytic approach to smooth polynomials over finite fields  Generating a product of three primes with an unknown factorization  On the performance of signature schemes based on elliptic curves  NTRU: A ringbased public key cryptosystem  Finding length3 positive Cunningham chains and their cryptographic significance  Reducing ideal arithmetic to linear algebra problems  Evaluation of linear relations between vectors of a lattice in euclidean space  An efficient parallel blockreduction algorithm  Fast multiprecision evaluation of series of rational numbers  A problem concerning a character sum  Formal power series and their continued fraction expansion  Imprimitive octic fields with small discriminants  A table of totally complex number fields of small discriminants  Generating arithmetically equivalent number fields with elliptic curves  Computing the lead term of an abelian Lfunction  Timing analysis of targeted hunter searches  On successive minima of rings of algebraic integers  Computation of relative quadratic class groups  Generating class fields using Shimura reciprocity  Irregularity of prime numbers over real quadratic fields  Experimental results on class groups of real quadratic fields  Computation of relative class numbers of imaginary cyclic fields of 2power degrees  Formal groups, elliptic curves, and some theorems of Couveignes  A comparison of direct and indirect methods for computing Selmer groups of an elliptic curve  An algorithm for approximate counting of points on algebraic sets over finite fields  Sintegral points on elliptic curves and Fermat's triple equations  Speeding up Pollard's rho method for computing discrete logarithms  A general method of constructing global function fields with many rational places  Lattice basis reduction in function fields  Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves  Unit computation in purely cubic function fields of unit rank 1  An improved method of computing the regulator of a real quadratic function field  The equivalence between elliptic curve and quadratic function field discrete logarithms in characteristic 2
 Dimensions
 unknown
 Extent
 X, 646 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540691136
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/BFb0054849
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540691136
 Label
 Algorithmic Number Theory : Third International Symposiun, ANTSIII Portland, Oregon, USA, June 21–25, 1998 Proceedings, edited by Joe P. Buhler, (electronic resource)
 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
 Shimura curve computations  The Decision DiffieHellman problem  Parallel implementation of Schönhage's integer GCD algorithm  The complete analysis of the binary Euclidean algorithm  Cyclotomy primality proving — Recent developments  Primality proving using elliptic curves: An update  Bounding smooth integers (extended abstract)  Factorization of the numbers of the form m 3 + c 2 m 2 + c 1 m + c 0  Modelling the yield of number field sieve polynomials  A Montgomerylike square root for the Number Field Sieve  Robert Bennion's “hopping sieve”  Trading time for space in prime number sieves  Do sums of 4 biquadrates have a positive density?  New experimental results concerning the Goldbach conjecture  Dense admissible sets  An analytic approach to smooth polynomials over finite fields  Generating a product of three primes with an unknown factorization  On the performance of signature schemes based on elliptic curves  NTRU: A ringbased public key cryptosystem  Finding length3 positive Cunningham chains and their cryptographic significance  Reducing ideal arithmetic to linear algebra problems  Evaluation of linear relations between vectors of a lattice in euclidean space  An efficient parallel blockreduction algorithm  Fast multiprecision evaluation of series of rational numbers  A problem concerning a character sum  Formal power series and their continued fraction expansion  Imprimitive octic fields with small discriminants  A table of totally complex number fields of small discriminants  Generating arithmetically equivalent number fields with elliptic curves  Computing the lead term of an abelian Lfunction  Timing analysis of targeted hunter searches  On successive minima of rings of algebraic integers  Computation of relative quadratic class groups  Generating class fields using Shimura reciprocity  Irregularity of prime numbers over real quadratic fields  Experimental results on class groups of real quadratic fields  Computation of relative class numbers of imaginary cyclic fields of 2power degrees  Formal groups, elliptic curves, and some theorems of Couveignes  A comparison of direct and indirect methods for computing Selmer groups of an elliptic curve  An algorithm for approximate counting of points on algebraic sets over finite fields  Sintegral points on elliptic curves and Fermat's triple equations  Speeding up Pollard's rho method for computing discrete logarithms  A general method of constructing global function fields with many rational places  Lattice basis reduction in function fields  Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves  Unit computation in purely cubic function fields of unit rank 1  An improved method of computing the regulator of a real quadratic function field  The equivalence between elliptic curve and quadratic function field discrete logarithms in characteristic 2
 Dimensions
 unknown
 Extent
 X, 646 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540691136
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/BFb0054849
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540691136
Subject
 Algebra  Data processing
 Algebra  Data processing
 Algebra  Data processing
 Algorithm Analysis and Problem Complexity
 Algorithms
 Algorithms
 Algorithms
 Computer Science
 Computer Science
 Computer Science
 Computer science
 Computer science
 Computer science
 Computer software
 Computer software
 Computer software
 Data Encryption
 Data encryption (Computer science)
 Data encryption (Computer science)
 Data encryption (Computer science)
 Electronic resources
 Number Theory
 Number Theory
 Number Theory
 Number theory
 Number theory
 Number theory
 Symbolic and Algebraic Manipulation
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/AlgorithmicNumberTheoryThirdInternational/AYIMRdfJTzQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/AlgorithmicNumberTheoryThirdInternational/AYIMRdfJTzQ/">Algorithmic Number Theory : Third International Symposiun, ANTSIII Portland, Oregon, USA, June 21–25, 1998 Proceedings, edited by Joe P. Buhler, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>