Title :
A Fast Hardware Architecture for Integer to tauNAF Conversion for Koblitz Curves
Author :
Adikari, Jithra ; Dimitrov, Vassil S. ; Järvinen, Kimmo U.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Waterloo, Waterloo, ON, Canada
fDate :
5/1/2012 12:00:00 AM
Abstract :
Scalar multiplication in elliptic curve cryptography is the most computational intensive operation. Efficiency of this operation can be significantly improved in hardware implementations by using Frobenius endomorphisms which require integer to τ-adic nonadjacent form conversion. Because conversion is one of the limiting factors in some of Koblitz curve-based cryptosystems, it has become an interesting problem. In this paper, we propose two algorithms and a novel hardware architecture to double the speed of integer to τ-adic nonadjacent form conversion.
Keywords :
computer architecture; public key cryptography; τNAF conversion; Frobenius endomorphisms; Koblitz curve-based cryptosystems; Koblitz curves; computational intensive operation; elliptic curve cryptography; hardware architecture; hardware implementations; integer to τ-adic nonadjacent form conversion; limiting factors; scalar multiplication; Adders; Algorithm design and analysis; Clocks; Computer architecture; Delay; Hardware; Logic gates; Elliptic curve cryptography; Koblitz curves; application specific integrated circuit.; field programmable gate array; integer to tauNAF conversion;
Journal_Title :
Computers, IEEE Transactions on
