Paper 2010/498

Co-Z Divisor Addition Formulae in Jacobian of Genus 2 Hyperelliptic Curves over Prime Fields

Vladislav Kovtun and Sergey Kavun

Abstract

In this paper we proposed a new approach to divisor scalar multiplication in Jacobian of genus 2 hyperelliptic curves over fields with odd characteristic, without field inversion. It is based on improved addition formulae of the weight 2 divisors in projective divisor representation in most frequent case that suit very well to scalar multiplication algorithms based on Euclidean addition chains.

Note: In previouse revised and uploaded paper used incorrect name appendix (extended).

Metadata
Available format(s)
PDF
Publication info
Published elsewhere. Unknown where it was published
Keywords
hyperelliptic curvedivisorJacobianaddition formulaeexponentiationprojective representation
Contact author(s)
vladislav kovtun @ gmail com
History
2012-04-18: last of 3 revisions
2010-09-29: received
See all versions
Short URL
https://ia.cr/2010/498
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2010/498,
      author = {Vladislav Kovtun and Sergey Kavun},
      title = {Co-Z Divisor Addition Formulae in Jacobian of Genus 2 Hyperelliptic Curves over Prime Fields},
      howpublished = {Cryptology ePrint Archive, Paper 2010/498},
      year = {2010},
      note = {\url{https://eprint.iacr.org/2010/498}},
      url = {https://eprint.iacr.org/2010/498}
}
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