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» Binary Edwards Curves
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CRYPTO
2009
Springer
140views Cryptology» more  CRYPTO 2009»
14 years 5 days ago
Batch Binary Edwards
Daniel J. Bernstein
AAECC
2007
Springer
111views Algorithms» more  AAECC 2007»
13 years 11 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»
13 years 11 months ago
Transformations of Signed-Binary Number Representations for Efficient VLSI Arithmetic
Boris D. Andreev, Edward L. Titlebaum, Eby G. Frie...
INDOCRYPT
2007
Springer
13 years 11 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
13 years 11 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