Paper 2012/267

Self-pairings on Hyperelliptic Curves

Steven D. Galbraith and 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.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Tate pairingWeil pairingSelf-pairingPairing based cryptography
Contact author(s)
changanzhao @ gmail com
History
2012-05-21: received
Short URL
https://ia.cr/2012/267
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2012/267,
      author = {Steven D.  Galbraith and Chang-An Zhao},
      title = {Self-pairings on Hyperelliptic Curves},
      howpublished = {Cryptology {ePrint} Archive, Paper 2012/267},
      year = {2012},
      url = {https://eprint.iacr.org/2012/267}
}
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