[Resource Topic] 2003/053: Tate-pairing implementations for tripartite key agreement

Welcome to the resource topic for 2003/053

Title:
Tate-pairing implementations for tripartite key agreement

Authors: Iwan Duursma, Hyang-Sook Lee

Abstract:

We give a closed formula for the Tate-pairing on
the hyperelliptic curve y^2 = x^p - x + d in characteristic p.
This improves recent implementations by Barreto et.al. and
by Galbraith et.al. for the special case p=3.
As an application, we propose a n-round key agreement protocol
for up to 3^n
participants by extending Joux’s pairing-based protocol to
n rounds.

ePrint: https://eprint.iacr.org/2003/053

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