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- W2479043207 abstract "The security of the optimal Ate pairing using the BN curves is based on the hardness of the DLP over $text{GF}(p^{12})$. At CRYPTO 2006, Joux et al. proposed the number field sieve over $text{GF}(p^n)$, but the number field sieve needs multi-dimensional sieving. In this paper, we deal with the multi-dimensional sieving, and discuss its parameter sizes such as the dimension of sieving and the size of the sieving region from some experiments of the multi-dimensional sieving. Using efficient parameters, we have solved the DLP over $text{GF}(p^{12})$ of 203 bits in about 43 hours using a PC of 16 CPU cores." @default.
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- W2479043207 date "2014-01-01" @default.
- W2479043207 modified "2023-09-23" @default.
- W2479043207 title "An experiment of number field sieve for discrete logarithm problem over $text{GF}(p^n)$" @default.
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- W2479043207 doi "https://doi.org/10.14495/jsiaml.6.53" @default.
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