Abstract
AbstractDuring the past decade pairing-based cryptosystems have been through a huge development, and the implementation of bilinear pairings has been improved greatly. Two pairing models, namely symmetric and asymmetric pairings, are widely used and have common cryptographic properties in most cryptosystems. Symmetric pairings are more convenient to construct cryptographic schemes, but asymmetric pairings are more efficient and suitable for implementation due to their flexible embedding degrees. In this paper we revisit symmetric pairings on supersingular elliptic curves over large characteristic fields. We show that a special family of supersingular elliptic curves with embedding degree 3 admits a kind of fast symmetric pairings, whose computational costs might be twice the costs for the current fastest asymmetric pairings.KeywordsSupersingular Elliptic CurveVerschiebung IsogenySymmetric Pairing
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
