The Pairing Computation on Edwards Curves
Joint Authors
Wu, Hongfeng
Li, Liangze
Zhang, Fan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We propose an elaborate geometry approach to explain the group law on twisted Edwards curves which are seen as the intersection of quadric surfaces in place.
Using the geometric interpretation of the group law, we obtain the Miller function for Tate pairing computation on twisted Edwards curves.
Then we present the explicit formulae for pairing computation on twisted Edwards curves.
Our formulae for the doubling step are a little faster than that proposed by Arène et al.
Finally, to improve the efficiency of pairing computation, we present twists of degrees 4 and 6 on twisted Edwards curves.
American Psychological Association (APA)
Wu, Hongfeng& Li, Liangze& Zhang, Fan. 2013. The Pairing Computation on Edwards Curves. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1008511
Modern Language Association (MLA)
Wu, Hongfeng…[et al.]. The Pairing Computation on Edwards Curves. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1008511
American Medical Association (AMA)
Wu, Hongfeng& Li, Liangze& Zhang, Fan. The Pairing Computation on Edwards Curves. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1008511
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008511
