Skew Frobenius Map on Binary Edwards Curves

Ahmed Youssef Ould Cheikh, Demba Sow

Abstract


This paper introduces the Frobenius endomorphism on the the binary Edwards elliptic curves proposed by  Bernstein, Lange and Farashahi in 2008 and by Diao and Lubicz (2010). To speed up the scalar multiplication  on binary Edwards curves, we use the GLV method combined with the Frobenius endomorphism over the curve.

Full Text: PDF DOI: 10.5539/jmr.v6n1p93

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.