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SACRYPT
2007
Springer
13 years 11 months ago
Koblitz Curves and Integer Equivalents of Frobenius Expansions
Billy Bob Brumley, Kimmo U. Järvinen
PKC
2004
Springer
158views Cryptology» more  PKC 2004»
13 years 10 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
ALGORITHMICA
2006
97views more  ALGORITHMICA 2006»
13 years 5 months ago
Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and Its Combination with Point Halving: Extensions and
Abstract. In this paper we prove the optimality and other properties of the -adic nonadjacent form: this expansion has been introduced in order to efficiently compute scalar multip...
Roberto Maria Avanzi, Clemens Heuberger, Helmut Pr...
CHES
2006
Springer
82views Cryptology» more  CHES 2006»
13 years 9 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 5 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