FACTORIZATION WITH GENUS 2 CURVES

Romain COSSET

Paper 2009/258 Original: eprint.iacr.org/2009/258 ↗

FACTORIZATION WITH GENUS 2 CURVES

Romain COSSET

Abstract

The elliptic curve method (ECM) is one of the best factorization methods available. It is possible to use hyperelliptic curves instead of elliptic curves but it is in theory slower. We use special hyperelliptic curves and Kummer surfaces to reduce the complexity of the algorithm. Our implementation GMP-HECM is faster than GMP-ECM for factoring big numbers.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint.
History: 2009-06-01: last updated; 2009-06-01: published
Short URL: https://ia.cr/2009/258
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2009/258,
      author = {Romain COSSET},
      title = {FACTORIZATION WITH GENUS 2 CURVES},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/258},
      year = {2009},
      url = {https://eprint.iacr.org/2009/258}
}