Paper 2002/094

Building curves with arbitrary small MOV degree over finite prime fields

R. Dupont, A. Enge, and F. Morain

Abstract

We investigate the possibility of building elliptic curves over finite prime fields having given small MOV-degrees. Using complex multiplication, we give many examples of such curves.

Note: Addenda and clarifications of precise points, more numerical examples.

Metadata
Available format(s)
PS
Category
Public-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
elliptic curvespairingsMOV degreecomplex multiplication
Contact author(s)
morain @ lix polytechnique fr
enge @ lix polytechnique fr
dupont @ lix polytechnique fr
History
2002-07-18: revised
2002-07-15: received
See all versions
Short URL
https://ia.cr/2002/094
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2002/094,
      author = {R.  Dupont and A.  Enge and F.  Morain},
      title = {Building curves with arbitrary small MOV degree over finite prime fields},
      howpublished = {Cryptology ePrint Archive, Paper 2002/094},
      year = {2002},
      note = {\url{https://eprint.iacr.org/2002/094}},
      url = {https://eprint.iacr.org/2002/094}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.