A Fast Hardware Architecture for Integer to tau NAF Conversion for Koblitz Curves

作者：Adikari Jithra^*; Dimitrov Vassil S; Jarvinen Kimmo U

来源：IEEE Transactions on Computers, 2012, 61(5): 732-737.

DOI：10.1109/TC.2011.87

• Elliptic curve cryptography
• Koblitz curves
• integer to tau NAF conversion
• field programmable gate array
• application specific integrated circuit

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.

• 出版日期2012-5