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Pairing Calculation on Supersingular Genus 2 Curves
Authors: Colm O hEigeartaigh, Michael ScottAbstract:
In this paper we describe how to efficiently implement pairing calculation on supersingular genus~2 curves over prime fields. We find that pairing calculation on supersingular genus~2 curves over prime fields is efficient and a viable candidate for practical implementation. We also show how to eliminate divisions in an efficient manner when computing the Tate pairing, and how this algorithm is useful for curves of genus greater than one.
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