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- W1972863327 abstract "In the case of Barreto-Naehrig pairing-friendly curves of embedding degree 12 of order r, recent efficient Ate pairings such as R-ate, optimal, and Xate pairings achieve Miller loop lengths of (1/4)⌊log2r⌋. On the other hand, the twisted Ate pairing requires (3/4)⌊log2r⌋ loop iterations, and thus is usually slower than the recent efficient Ate pairings. This paper proposes an improved twisted Ate pairing using Frobenius maps and a small scalar multiplication. The proposed idea splits the Miller's algorithm calculation into several independent parts, for which multi-pairing techniques apply efficiently. The maximum number of loop iterations in Miller's algorithm for the proposed twisted Ate pairing is equal to the (1/4)⌊log2r⌋ attained by the most efficient Ate pairings." @default.
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- W1972863327 date "2011-01-01" @default.
- W1972863327 modified "2023-09-26" @default.
- W1972863327 title "An Improvement of Twisted Ate Pairing Efficient for Multi-Pairing and Thread Computing" @default.
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- W1972863327 doi "https://doi.org/10.1587/transfun.e94.a.1356" @default.
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