Add to ORKGQuite similiar to the Sieve of Erastosthenes, the best-known general algorithms for factoring large numbers today are memory-bounded processes. We develop three variations of the sieving phase and discuss them in detail. The fastest modification is tailored to RISC processors and therefore especially suited for modern workstations and massively parallel supercomputers. For a 116 decimal digit composite number we achieved a speedup greater than two on an IBM RS/6000 250 workstation
Colloque avec actes et comité de lecture. internationale.International audienceOn August 22, 1999, w...
Integer factorization is a problem not yet solved for arbitrary integers. Huge integers are therefor...
On August 22, 1999, we completed the factorization of the 512--bit 155--digit number RSA--155 with t...
Quite similiar to the Sieve of Erastosthenes, the best-known general algorithms for factoring large ...
We describe a single-instruction multiple data (SIMD) implementation of the multiple polynomial quad...
A critical step when factoring large integers by the Number Field Sieve consists of finding dependen...
AbstractThe results are presented of experiments with the multiple polynomial version of the quadrat...
We present the results of many factorization runs with the single and double large prime variations ...
1 Introduction The hardness of factoring large integers drawn from appropriate distributions is a ce...
On February 2, 1999, we completed the factorization of the 140--digit number RSA--140 with the help ...
textabstractThe Number Field Sieve (NFS) is the asymptotically fastest known factoring algorithm for...
Abstract. Many cryptographic protocols derive their security from the appar-ent computational intrac...
We describe a modification to the well-known large prime variant of the multiple polynomial quadrati...
The Number Field Sieve is currently the fastest algorithm for factor-ing. This paper covers each ste...
This paper reports on the factorization of the 768-bit number RSA-768 by the number field sieve fact...
Colloque avec actes et comité de lecture. internationale.International audienceOn August 22, 1999, w...
Integer factorization is a problem not yet solved for arbitrary integers. Huge integers are therefor...
On August 22, 1999, we completed the factorization of the 512--bit 155--digit number RSA--155 with t...
Quite similiar to the Sieve of Erastosthenes, the best-known general algorithms for factoring large ...
We describe a single-instruction multiple data (SIMD) implementation of the multiple polynomial quad...
A critical step when factoring large integers by the Number Field Sieve consists of finding dependen...
AbstractThe results are presented of experiments with the multiple polynomial version of the quadrat...
We present the results of many factorization runs with the single and double large prime variations ...
1 Introduction The hardness of factoring large integers drawn from appropriate distributions is a ce...
On February 2, 1999, we completed the factorization of the 140--digit number RSA--140 with the help ...
textabstractThe Number Field Sieve (NFS) is the asymptotically fastest known factoring algorithm for...
Abstract. Many cryptographic protocols derive their security from the appar-ent computational intrac...
We describe a modification to the well-known large prime variant of the multiple polynomial quadrati...
The Number Field Sieve is currently the fastest algorithm for factor-ing. This paper covers each ste...
This paper reports on the factorization of the 768-bit number RSA-768 by the number field sieve fact...
Colloque avec actes et comité de lecture. internationale.International audienceOn August 22, 1999, w...
Integer factorization is a problem not yet solved for arbitrary integers. Huge integers are therefor...
On August 22, 1999, we completed the factorization of the 512--bit 155--digit number RSA--155 with t...