Welcome to the resource topic for 2007/311
Title:
A Refined Algorithm for the \eta_T Pairing Calculation in Characteristic Three
Authors: Jean-Luc Beuchat, Masaaki Shirase, Tsuyoshi Takagi, Eiji Okamoto
Abstract:We describe further improvements of the \eta_T pairing algorithm in characteristic three. Our approach combines the loop unrolling technique introduced by Granger {\em et. al} for the Duursma-Lee algorithm, and a novel algorithm for multiplication over \mathbb{F}_{3^{6m}} proposed by Gorla {\em et al.} at SAC 2007. For m=97, the refined algorithm reduces the number of multiplications over \mathbb{F}_{3^m} from 815 to 692.
ePrint: https://eprint.iacr.org/2007/311
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