Generation of random Picard curves for cryptography

Annegret Weng

Paper 2004/285 Original: eprint.iacr.org/2004/285 ↗

Generation of random Picard curves for cryptography

Annegret Weng

Abstract

Based on ideas in an earlier paper by Mark Bauer, Edlyn Teske and myself and ideas of Pierrick Gaudry and Eric Schost, we present an algorithm for counting the number of elements in the Jacobian of a random Picard curve over a finite prime field of cryptosize. We give two examples of curves with a Jacobian of prime group order.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2004-11-03: last updated; 2004-11-03: published
Short URL: https://ia.cr/2004/285
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2004/285,
      author = {Annegret Weng},
      title = {Generation of random Picard curves for cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2004/285},
      year = {2004},
      url = {https://eprint.iacr.org/2004/285}
}