Modular polynomials for genus 2

Reinier Broker; Kristin Lauter

Paper 2008/161 Original: eprint.iacr.org/2008/161 ↗

Modular polynomials for genus 2

Reinier Broker

Kristin Lauter

Abstract

Modular polynomials are an important tool in many algorithms involving elliptic curves. In this article we generalize this concept to the genus 2 case. We give the theoretical framework describing the genus 2 modular polynomials and discuss how to explicitly compute them.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint.
History: 2008-04-14: last updated; 2008-04-14: published
Short URL: https://ia.cr/2008/161
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/161,
      author = {Reinier Broker and Kristin Lauter},
      title = {Modular polynomials for genus 2},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/161},
      year = {2008},
      url = {https://eprint.iacr.org/2008/161}
}