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» Binary Edwards Curves
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CRYPTO
2009
Springer
140views Cryptology» more  CRYPTO 2009»
14 years 4 months ago
Batch Binary Edwards
Daniel J. Bernstein
AAECC
2007
Springer
111views Algorithms» more  AAECC 2007»
14 years 4 months ago
Inverted Edwards Coordinates
Abstract. Edwards curves have attracted great interest for several reasons. When curve parameters are chosen properly, the addition formulas use only 10M + 1S. The formulas are str...
Daniel J. Bernstein, Tanja Lange
IWSOC
2003
IEEE
96views Hardware» more  IWSOC 2003»
14 years 3 months ago
Transformations of Signed-Binary Number Representations for Efficient VLSI Arithmetic
Boris D. Andreev, Edward L. Titlebaum, Eby G. Frie...
INDOCRYPT
2007
Springer
14 years 4 months ago
Optimizing Double-Base Elliptic-Curve Single-Scalar Multiplication
This paper analyzes the best speeds that can be obtained for single-scalar multiplication with variable base point by combining a huge range of options: – many choices of coordin...
Daniel J. Bernstein, Peter Birkner, Tanja Lange, C...
ASIACRYPT
2007
Springer
14 years 4 months ago
Faster Addition and Doubling on Elliptic Curves
Edwards recently introduced a new normal form for elliptic curves. Every elliptic curve over a non-binary field is birationally equivalent to a curve in Edwards form over an exten...
Daniel J. Bernstein, Tanja Lange