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Special number field sieve

Known as: SNFS 
In number theory, a branch of mathematics, the special number field sieve (SNFS) is a special-purpose integer factorization algorithm. The general… Expand
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Papers overview

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2015
2015
The security of pairing-based crypto-systems relies on the difficulty to compute discrete logarithms in finite fields $${\mathbb… Expand
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2012
2012
I provide the details of the factorization of the Mersenne number 2 1061 1 by the Special Number Field Sieve. Although this… Expand
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2011
2011
The uppermost mantle as sampled by xenoliths, peridotite massifs and primitive basaltic melts appears to be relatively oxidized… Expand
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2008
2008
Integer factorization is a problem not yet solved for arbitrary integers. Huge integers are therefore widely used for encrypting… Expand
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2007
2007
We describe how we reached a new factoring milestone by completing the first special number field sieve factorization of a number… Expand
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2007
2007
An improved Backus-Gilbert resampling scheme is developed and applied on Advanced Microwave Scanning Radiometer-EOS (AMSR-E… Expand
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2006
2006
We define the weight of an integer N to be the smallest w such that N can be represented as Σ w i=1 ∈ i 2 ci , with ∈ 1 ,..., ∈ w… Expand
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2002
2002
Let p be a prime number and n a positive integer, and let q=pn. Adleman and Huang [Inform. and Comput., 151 (1999), pp. 5--16… Expand
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Highly Cited
2002
Highly Cited
2002
This paper describes a new algorithm for computing linear generators (vector generating polynomials) for matrix sequences… Expand
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Highly Cited
2002
Highly Cited
2002
In this paper, we describe improvements to the function field sieve (FFS) for the discrete logarithm problem in Fpn, when p is… Expand
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