Cryptology ePrint Archive: Report 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.
Category / Keywords: hyperelliptic curve, divisor, Jacobian, addition formulae, exponentiation, projective representation
Date: received 28 Sep 2010, last revised 18 Apr 2012
Contact author: vladislav kovtun at gmail com
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Note: In previouse revised and uploaded paper used incorrect name appendix (extended).
Version: 20120418:214944 (All versions of this report)
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