Subscribe

Issue No.05 - May (2012 vol.61)

pp: 732-737

Jithra Adikari , University of Waterloo, Waterloo

Vassil S. Dimitrov , University of Calgary, Calgary

Kimmo U. Järvinen , Aalto University of Technology, Aalto

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TC.2011.87

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 \tau-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 \tau-adic nonadjacent form conversion.

INDEX TERMS

Elliptic curve cryptography, Koblitz curves, integer to \tauNAF conversion, field programmable gate array, application specific integrated circuit.

CITATION

Jithra Adikari, Vassil S. Dimitrov, Kimmo U. Järvinen, "A Fast Hardware Architecture for Integer to \tauNAF Conversion for Koblitz Curves",

*IEEE Transactions on Computers*, vol.61, no. 5, pp. 732-737, May 2012, doi:10.1109/TC.2011.87REFERENCES