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- W1850106430 abstract "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 logarithms that are suitable for finite fields related to pairing-friendly constructions. To improve upon these algorithms, we extend the Special Number Field Sieve to compute discrete logarithms in $mathbb{F}_{p^{n}}$ , where p has an adequate sparse representation. Our improved algorithm works for the whole range of applicability of the Number Field Sieve." @default.
- W1850106430 created "2016-06-24" @default.
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- W1850106430 date "2014-01-01" @default.
- W1850106430 modified "2023-10-18" @default.
- W1850106430 title "The Special Number Field Sieve in $mathbb{F}_{p^{n}}$" @default.
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- W1850106430 doi "https://doi.org/10.1007/978-3-319-04873-4_3" @default.
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