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High-speed Hardware Implementations of Point Multiplication for Binary Edwards and Generalized Hessian Curves
Binary Edwards Generalized Hessian Curves
2017/2/20
In this paper high-speed hardware architectures of point multiplication based on Montgomery ladder algorithm for binary Edwards and generalized Hessian curves in Gaussian normal basis are presented. C...
Edwards curves have attracted great interest for their efi-
cient addition and doubling formulas. Furthermore, the addition formulas
are strongly unified or even complete, i.e., work without change ...
This paper presents a new shape for ordinary elliptic curves
over fields of characteristic 2. Using the new shape, this paper presents
the first complete addition formulas for binary elliptic curves...