Add to ORKG1.1 Prime factorization and the Number Field Sieve One of the most important and widely-studied questions in computational number the-ory is how to efficiently compute the prime factorizations of large integers. Among other applications, fast prime-factorization algorithms would break the widely-used RS
We present two algorithms for splitting a general composite number, the quadratic sieve algorithm (Q...
textabstractThe Number Field Sieve (NFS) is the asymptotically fastest known factoring algorithm for...
In my last paper, I described the Quadratic Sieve (QS) and it’s variants, including a very abbreviat...
The number field sieve is an algorithm for finding the prime factors of large integers. It depends o...
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 ...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
The Number Field Sieve is currently the fastest algorithm for factor-ing. This paper covers each ste...
Integer factorization is a problem not yet solved for arbitrary integers. Huge integers are therefor...
The Number Field Sieve (NFS) is the fastest known general method for factoring integers having more ...
It was shown in [2] that under reasonable assumptions the general number field sieve (GNFS) is the ...
We describe a modification to the well-known large prime variant of the multiple polynomial quadrati...
We present two algorithms for splitting a general composite number, the quadratic sieve algorithm (Q...
We present two algorithms for splitting a general composite number, the quadratic sieve algorithm (Q...
textabstractThe Number Field Sieve (NFS) is the asymptotically fastest known factoring algorithm for...
In my last paper, I described the Quadratic Sieve (QS) and it’s variants, including a very abbreviat...
The number field sieve is an algorithm for finding the prime factors of large integers. It depends o...
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 ...
The general number field sieve is the asymptotically fastest—and by far most complex—factoring algor...
The Number Field Sieve is currently the fastest algorithm for factor-ing. This paper covers each ste...
Integer factorization is a problem not yet solved for arbitrary integers. Huge integers are therefor...
The Number Field Sieve (NFS) is the fastest known general method for factoring integers having more ...
It was shown in [2] that under reasonable assumptions the general number field sieve (GNFS) is the ...
We describe a modification to the well-known large prime variant of the multiple polynomial quadrati...
We present two algorithms for splitting a general composite number, the quadratic sieve algorithm (Q...
We present two algorithms for splitting a general composite number, the quadratic sieve algorithm (Q...
textabstractThe Number Field Sieve (NFS) is the asymptotically fastest known factoring algorithm for...
In my last paper, I described the Quadratic Sieve (QS) and it’s variants, including a very abbreviat...