Add to ORKGThe Number Field Sieve (NFS) is the fastest known general method for factoring integers having more than 120 digits. In this thesis we will will study the algebraic number theory that lies behind the algorithm, describe the algorithm in detail, implement it and use our implementation to perform some experiments
The number field sieve is an algorithm for finding the prime factors of large integers. It depends o...
1 Introduction The hardness of factoring large integers drawn from appropriate distributions is a ce...
SummaryThe general number field sieve (GNFS) is the fastest algorithm for factoring large composite ...
textabstractThe Number Field Sieve (NFS) is the asymptotically fastest known factoring algorithm for...
The Number Field Sieve is currently the fastest algorithm for factor-ing. This paper covers each ste...
In my last paper, I described the Quadratic Sieve (QS) and it’s variants, including a very abbreviat...
It was shown in [2] that under reasonable assumptions the general number field sieve (GNFS) is the ...
Integer factorization is a problem not yet solved for arbitrary integers. Huge integers are therefor...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
abstract: This thesis project is focused on studying the number field sieve. The number field sieve ...
1.1 Prime factorization and the Number Field Sieve One of the most important and widely-studied ques...
GNFS (general number field sieve) algorithm is currently the fastest known algorithm for factoring l...
The number field sieve is an algorithm for finding the prime factors of large integers. It depends o...
1 Introduction The hardness of factoring large integers drawn from appropriate distributions is a ce...
SummaryThe general number field sieve (GNFS) is the fastest algorithm for factoring large composite ...
textabstractThe Number Field Sieve (NFS) is the asymptotically fastest known factoring algorithm for...
The Number Field Sieve is currently the fastest algorithm for factor-ing. This paper covers each ste...
In my last paper, I described the Quadratic Sieve (QS) and it’s variants, including a very abbreviat...
It was shown in [2] that under reasonable assumptions the general number field sieve (GNFS) is the ...
Integer factorization is a problem not yet solved for arbitrary integers. Huge integers are therefor...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
abstract: This thesis project is focused on studying the number field sieve. The number field sieve ...
1.1 Prime factorization and the Number Field Sieve One of the most important and widely-studied ques...
GNFS (general number field sieve) algorithm is currently the fastest known algorithm for factoring l...
The number field sieve is an algorithm for finding the prime factors of large integers. It depends o...
1 Introduction The hardness of factoring large integers drawn from appropriate distributions is a ce...
SummaryThe general number field sieve (GNFS) is the fastest algorithm for factoring large composite ...