Pairings on hyperelliptic curves
Number Theory
2014-12-30 v2 Cryptography and Security
Algebraic Geometry
Abstract
We assemble and reorganize the recent work in the area of hyperelliptic pairings: We survey the research on constructing hyperelliptic curves suitable for pairing-based cryptography. We also showcase the hyperelliptic pairings proposed to date, and develop a unifying framework. We discuss the techniques used to optimize the pairing computation on hyperelliptic curves, and present many directions for further research.
Keywords
Cite
@article{arxiv.0908.3731,
title = {Pairings on hyperelliptic curves},
author = {Jennifer Balakrishnan and Juliana Belding and Sarah Chisholm and Kirsten Eisentraeger and Katherine Stange and Edlyn Teske},
journal= {arXiv preprint arXiv:0908.3731},
year = {2014}
}
Comments
v2: with corrections and improvements in sections 4 and 5