Algebraic Geometry Seminar next week

[math]

A L G E B R A I C   G E O M E T R Y
S E M I N A R S   2010




Thursday, 15 July at 14.30 hrs.



Dr. Siman YANG
(East China Normal University, Shanghai, P.R. China)



"Fast Endomorphisms on Jacobians of Genus 2 Hyperelliptic Curves over 
Binary Fields"


Abstract:
In EUROCRYPT 2009, Galbraithh, Lin and Scott constructed efficiently 
computable endomorphisms for a large family of elliptic curves defined 
over finite fields of large characteristic.  The scalar multiplication 
on GLS curves can be accelerated while the GLV method is applied.
In this talk, we introduce our recent work on extending the method to 
the Jacobians of genus 2 hyperelliptic curves defined over binary 
fields.  We give explicit formulae of endomorphisms on the Jacobians for 
the twisted curves of every isomorphism class of genus 2 hyperelliptic 
curves over binary fields.  We investigate the benefits of fast scalar 
multiplication using various simultaneous scalar multiplication methods 
and show a speedup for up to 40% for a 256-bit scalar multiplication 
comparing with the best general ordinary methods.




VENUE:  "LUIGI STASI" SEMINAR ROOM
(ICTP Leonardo Building, first floor)