Lenstra, A. K. (Arjen K.) 1956
Overview
Works:  33 works in 119 publications in 3 languages and 785 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor, dgs, Other 
Publication Timeline
.
Most widely held works by
A. K Lenstra
The development of the number field sieve by
A. K Lenstra(
Book
)
21 editions published in 1993 in 3 languages and held by 373 WorldCat member libraries worldwide
The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature
21 editions published in 1993 in 3 languages and held by 373 WorldCat member libraries worldwide
The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature
The development of the number field sieve(
)
1 edition published in 1993 in English and held by 38 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 38 WorldCat member libraries worldwide
Information security : 10th international conference, ISC 2007, Valparaíso, Chile, October 912, 2007 : proceedings by
Juan A Garay(
)
5 editions published in 2007 in English and held by 17 WorldCat member libraries worldwide
This book constitutes the refereed proceedings of the 10th International Conference on Information Security Conference, ISC 2007, held in Valparaiso, Chile, October 912, 2007. The 28 revised full papers presented were carefully reviewed and selected from 116 submissions. The topics include Intrusion Detection, Digital Rights Management, SymmetricKey Cryptography, Cryptographic Protocols and Schemes, IdentityBased Schemes, Cryptanalysis, DoS Protection, Software Obfuscation, PublicKey Cryptosystems, Elliptic Curves and Applications and Security Issues in Databases
5 editions published in 2007 in English and held by 17 WorldCat member libraries worldwide
This book constitutes the refereed proceedings of the 10th International Conference on Information Security Conference, ISC 2007, held in Valparaiso, Chile, October 912, 2007. The 28 revised full papers presented were carefully reviewed and selected from 116 submissions. The topics include Intrusion Detection, Digital Rights Management, SymmetricKey Cryptography, Cryptographic Protocols and Schemes, IdentityBased Schemes, Cryptanalysis, DoS Protection, Software Obfuscation, PublicKey Cryptosystems, Elliptic Curves and Applications and Security Issues in Databases
Factoring multivariate integral polynomials by
A. K Lenstra(
Book
)
17 editions published in 1983 in 3 languages and held by 15 WorldCat member libraries worldwide
17 editions published in 1983 in 3 languages and held by 15 WorldCat member libraries worldwide
Implementation of a new primality test by
H Cohen(
Book
)
7 editions published in 1985 in English and held by 14 WorldCat member libraries worldwide
7 editions published in 1985 in English and held by 14 WorldCat member libraries worldwide
Polynomialtime algorithms for the factorization of polynomials by
A. K Lenstra(
Book
)
4 editions published in 1984 in English and held by 12 WorldCat member libraries worldwide
4 editions published in 1984 in English and held by 12 WorldCat member libraries worldwide
Factoring polynomials with rational coefficients by
A. K Lenstra(
Book
)
7 editions published in 1982 in English and Dutch and held by 10 WorldCat member libraries worldwide
7 editions published in 1982 in English and Dutch and held by 10 WorldCat member libraries worldwide
Two lines least squares by
A. K Lenstra(
Book
)
6 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
6 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
Polynomial factorization by root approximation by
A. K Lenstra(
Book
)
4 editions published in 1983 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 1983 in English and held by 8 WorldCat member libraries worldwide
Lattices and factorization of polynomials by
A. K Lenstra(
Book
)
5 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
Presents an algorithm to factorize univariate polynomials over an algebraic number field which has been implemented in Algol68 on a CDCCyber 170750 computer
5 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
Presents an algorithm to factorize univariate polynomials over an algebraic number field which has been implemented in Algol68 on a CDCCyber 170750 computer
Factoring polynomials over algebraic number fields by
A. K Lenstra(
Book
)
6 editions published between 1981 and 1983 in English and held by 8 WorldCat member libraries worldwide
6 editions published between 1981 and 1983 in English and held by 8 WorldCat member libraries worldwide
Factoring multivariate polynomials over algebraic number fields by
A. K Lenstra(
Book
)
4 editions published in 1983 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 1983 in English and held by 7 WorldCat member libraries worldwide
Polynomial factorization and nonrandomness of bits of algebraic and some transcendental numbers by
R Kannan(
Book
)
2 editions published in 1984 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1984 in English and held by 7 WorldCat member libraries worldwide
Factoring multivariate polynomials over finite fields by
A. K Lenstra(
Book
)
4 editions published in 1983 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 1983 in English and held by 7 WorldCat member libraries worldwide
An algorithm for solving a diophantine equation with lower and upper bounds on the variables by
K Aardal(
Book
)
4 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
Information security conference : 10th international conference, ISC 2007, Valparaiso, Chile, October 912, 2007 ; proceedings(
Book
)
1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide
Topics in computational number theory inspired by Peter L. Montgomery by
Joppe W Bos(
Book
)
2 editions published in 2017 in English and held by 3 WorldCat member libraries worldwide
This book highlights the many ideas and algorithms that Peter L. Montgomery has contributed to computational number theory and cryptography
2 editions published in 2017 in English and held by 3 WorldCat member libraries worldwide
This book highlights the many ideas and algorithms that Peter L. Montgomery has contributed to computational number theory and cryptography
Dopo le parole : aangeboden aan Dr. A.K. Lenstra by
H. W Lenstra(
Book
)
2 editions published in 1984 in Dutch and held by 3 WorldCat member libraries worldwide
2 editions published in 1984 in Dutch and held by 3 WorldCat member libraries worldwide
Faster Software Cryptography by
Dag Arne Osvik(
Book
)
2 editions published in 2012 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 2 WorldCat member libraries worldwide
Cryptology and computational number theory by
Carl Pomerance(
)
1 edition published in 1990 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 0 WorldCat member libraries worldwide
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Associated Subjects
Algorithms Combinatorial analysis ComputersAccess control Computer science Computer security Computer software Cryptography CryptographyMathematics Data encryption (Computer science) Factorization (Mathematics) FunctionsData processing Lattice theoryData processing Lenstra, A. K.(Arjen K.), Mathematics Numbers, Prime Number theory Operating systems (Computers) Polynomials PolynomialsData processing Sieves (Mathematics) Software engineering Supercomputers Transcendental numbers
Alternative Names
Arjen K. Lenstra Dutch mathematician
Arjen Lenstra
Arjen Lenstra matemático neerlandés
Arjen Lenstra matematico olandese
Arjen Lenstra mathématicien néerlandais
Arjen Lenstra Nederlands wiskundige
Arjen Lenstra niederländischer Mathematiker
Lenstra, A. K.
Lenstra, Arjen 1956
Lenstra, Arjen K. 1956
Lenstra, Arjen Klaas
Lenstra, Arjen Klaas 1956
Ленстра, Арьен
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