Cryptology ePrint Archive: Report 2002/094
Building curves with arbitrary small MOV degree over finite prime fields
R. Dupont and 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.
Category / Keywords: public-key cryptography / elliptic curves, pairings, MOV degree, complex multiplication
Date: received 11 Jul 2002, last revised 18 Jul 2002
Contact author: morain at lix polytechnique fr , enge@lix polytechnique fr , dupont@lix polytechnique fr
Available format(s): Postscript (PS) | Compressed Postscript (PS.GZ) | BibTeX Citation
Note: Addenda and clarifications of precise points, more numerical examples.
Version: 20020718:085028 (All versions of this report)
Short URL: ia.cr/2002/094
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