Paper 2014/359 Original: eprint.iacr.org/2014/359 ↗
Explicit endomorphism of the Jacobian of a hyperelliptic function field of genus 2 using base field operations
Abstract
We present an efficient endomorphism for the Jacobian of a curve $C$ of genus 2 for divisors having a Non disjoint support. This extends the work of Costello in ~\cite{Costello} who calculated explicit formul\ae\space for divisor doubling and addition of divisors with disjoint support in $\jacobian(C)$ using only base field operations. Explicit formul\ae\space is presented for this third case and a different approach for divisor doubling.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2014-05-23: last updated
- 2014-05-23: published
- Short URL
- https://ia.cr/2014/359
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2014/359,
author = {Eduardo Ruiz Duarte and Octavio Páez Osuna},
title = {Explicit endomorphism of the Jacobian of a hyperelliptic function field of genus 2 using base field operations},
howpublished = {Cryptology {ePrint} Archive, Paper 2014/359},
year = {2014},
url = {https://eprint.iacr.org/2014/359}
}