Welcome to the resource topic for 2012/267
Title:
Self-pairings on Hyperelliptic Curves
Authors: Steven D. Galbraith, Chang-An Zhao
Abstract:A self-pairing is a pairing computation where both inputs are the same group element. Self-pairings are used in some cryptographic schemes and protocols. In this paper, we show how to compute the Tate-Lichtenbaum pairing (D,\phi(D)) on a curve more efficiently than the general case. The speedup is obtained by requiring a simpler final exponentiation. We also discuss how to use this pairing in cryptographic applications.
ePrint: https://eprint.iacr.org/2012/267
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