Pairing-Friendly Curves

Document Type Replaced Internet-Draft (cfrg RG)
Authors Shoko Yonezawa  , Tetsutaro Kobayashi  , Tsunekazu Saito 
Last updated 2019-10-07 (latest revision 2019-07-08)
Replaces draft-kato-threat-pairing
Replaced by draft-irtf-cfrg-pairing-friendly-curves
Stream Internet Research Task Force (IRTF)
Intended RFC status (None)
Expired & archived
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Stream IRTF state Replaced
Consensus Boilerplate Unknown
Document shepherd No shepherd assigned
IESG IESG state Replaced by draft-irtf-cfrg-pairing-friendly-curves
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This Internet-Draft is no longer active. A copy of the expired Internet-Draft can be found at


This memo introduces pairing-friendly curves used for constructing pairing-based cryptography. It describes recommended parameters for each security level and recent implementations of pairing-friendly curves.


Shoko Yonezawa (
Tetsutaro Kobayashi (
Tsunekazu Saito (

(Note: The e-mail addresses provided for the authors of this Internet-Draft may no longer be valid.)