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CHES
2006
Springer
82views Cryptology» more  CHES 2006»
14 years 2 months ago
FPGA Implementation of Point Multiplication on Koblitz Curves Using Kleinian Integers
We describe algorithms for point multiplication on Koblitz curves using multiple-base expansions of the form k =
V. S. Dimitrov, Kimmo U. Järvinen, M. J. Jaco...
DCC
2000
IEEE
13 years 10 months ago
Efficient Arithmetic on Koblitz Curves
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
Jerome A. Solinas
PKC
2004
Springer
158views Cryptology» more  PKC 2004»
14 years 4 months ago
Faster Scalar Multiplication on Koblitz Curves Combining Point Halving with the Frobenius Endomorphism
Let E be an elliptic curve defined over F2n . The inverse operation of point doubling, called point halving, can be done up to three times as fast as doubling. Some authors have t...
Roberto Maria Avanzi, Mathieu Ciet, Francesco Sica
TC
2008
13 years 10 months ago
Provably Sublinear Point Multiplication on Koblitz Curves and Its Hardware Implementation
We describe algorithms for point multiplication on Koblitz curves using multiple-base expansions of the form k = P
V. S. Dimitrov, Kimmo U. Järvinen, M. J. Jaco...
JUCS
2008
140views more  JUCS 2008»
13 years 10 months ago
Parallel Formulations of Scalar Multiplication on Koblitz Curves
We present an algorithm that by using the and -1 Frobenius operators concurrently allows us to obtain a parallelized version of the classical -and-add scalar multiplication algor...
Omran Ahmadi, Darrel Hankerson, Francisco Rodr&iac...