[Resource Topic] 2006/106: Further Refinement of Pairing Computation Based on Miller's Algorithm

Welcome to the resource topic for 2006/106

Title:
Further Refinement of Pairing Computation Based on Miller’s Algorithm

Authors: Chao-Liang Liu, Gwoboa Horng, Te-Yu Chen

Abstract:

In 2006, Blake, Murty and Xu proposed three refinements to
Miller’s algorithm for computing Weil/Tate Pairings. In this paper
we extend their work and propose a generalized algorithm, which
integrates their first two algorithms. Our approach is to
pre-organize the binary representation of the involved integer to
the best cases of Blake’s algorithms. Further, our refinement is
more suitable for Solinas numbers than theirs. We analyze our
algorithm and show that our refinement can perform better than the
original algorithms.

ePrint: https://eprint.iacr.org/2006/106

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