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The Special Number Field Sieve in $\F _{p^{n}}$, Application to Pairing-Friendly Constructions
Discrete logarithms SNFS
2014/3/10
In this paper, we study the discrete logarithm problem in finite fields related to pairing-based curves. We start with a precise analysis of the state-of-the-art algorithms for computing discrete loga...
A kilobit special number field sieve factorization
kilobit special number field sieve factorization
2008/8/26
We describe how we reached a new factoring milestone by completing the first
special number field sieve factorization of a number having more than 1024 bits, namely the
Mersenne number 21039 −...