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Paper 2010/498

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

Vladislav Kovtun, 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).

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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
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Short URL
https://ia.cr/2010/498
License
Creative Commons Attribution
CC BY
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