Factoring numbers using singular integers
STOC '91 Proceedings of the twenty-third annual ACM symposium on Theory of computing
EUROCRYPT '89 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
Factoring with two large primes (extended abstract)
EUROCRYPT '90 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
Handbook of theoretical computer science (vol. A)
An implementation of the general number field sieve
CRYPTO '93 Proceedings of the 13th annual international cryptology conference on Advances in cryptology
A course in computational algebraic number theory
A course in computational algebraic number theory
Computing &pgr;(x): the Meissel, Lehmer, Lagarias, Miller, Odlyzko method
Mathematics of Computation
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
Solving Large Sparse Linear Systems over Finite Fields
CRYPTO '90 Proceedings of the 10th Annual International Cryptology Conference on Advances in Cryptology
NFS with Four Large Primes: An Explosive Experiment
CRYPTO '95 Proceedings of the 15th Annual International Cryptology Conference on Advances in Cryptology
The Magic Words are Squeamish Ossifrage
ASIACRYPT '94 Proceedings of the 4th International Conference on the Theory and Applications of Cryptology: Advances in Cryptology
A World Wide Number Field Sieve Factoring Record: On to 512 Bits
ASIACRYPT '96 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Lattice sieving and trial division
ANTS-I Proceedings of the First International Symposium on Algorithmic Number Theory
On the difficulty of finding reliable witnesses
ANTS-I Proceedings of the First International Symposium on Algorithmic Number Theory
A Multiple Polynominal General Number Field Sieve
ANTS-II Proceedings of the Second International Symposium on Algorithmic Number Theory
A block Lanczos algorithm for finding dependencies over GF(2)
EUROCRYPT'95 Proceedings of the 14th annual international conference on Theory and application of cryptographic techniques
Discrete Logarithms: The Past and the Future
Designs, Codes and Cryptography - Special issue on towards a quarter-century of public key cryptography
Privacy-preserving distributed association rule mining via semi-trusted mixer
Data & Knowledge Engineering
Swan-like results for binomials and trinomials over finite fields of odd characteristic
Designs, Codes and Cryptography
EUC'06 Proceedings of the 2006 international conference on Embedded and Ubiquitous Computing
A parallel GNFS algorithm with the biorthogonal block lanczos method for integer factorization
ATC'06 Proceedings of the Third international conference on Autonomic and Trusted Computing
Integer factorization by a parallel GNFS algorithm for public key cryptosystems
ICESS'05 Proceedings of the Second international conference on Embedded Software and Systems
A special purpose integer factorization algorithm
Proceedings of the Second International Conference on Computational Science, Engineering and Information Technology
Fast matrix decomposition in F2
Journal of Computational and Applied Mathematics
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Using simple examples andinformal discussions this article surveys the key ideas and majoradvances of the last quarter century in integer factorization.