Abstract
According to some recent implementation reports on Ate–based pairings such as optimal ate pairing with Barreto–Naehrig curve whose embedding degree is 12, sparse multiplication accelerates Miller’s loop calculation in a pairing calculation. Especially, 7–sparse multiplication is available when the implementation uses affine coordinates, where 7–sparse means that the multiplicand or multiplier has 7 zeros among 12 coefficients. This paper extends it to pseudo 8–sparse multiplication. Then, some experimental results together with theoretic calculation costs are shown in order to evaluate its efficiency.
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Mori, Y., Akagi, S., Nogami, Y., Shirase, M. (2014). Pseudo 8–Sparse Multiplication for Efficient Ate–Based Pairing on Barreto–Naehrig Curve. In: Cao, Z., Zhang, F. (eds) Pairing-Based Cryptography – Pairing 2013. Pairing 2013. Lecture Notes in Computer Science, vol 8365. Springer, Cham. https://doi.org/10.1007/978-3-319-04873-4_11
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DOI: https://doi.org/10.1007/978-3-319-04873-4_11
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