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Advanced modern processors support Single Instruction Multiple Data (SIMD) instructions (e.g. Intel-AVX, ARM-NEON) and a massive body of research on vector-parallel implementations of modular arith...
From the viewpoint of x-coordinate-only arithmetic on ellip- tic curves, switching between the Edwards model and the Montgomery model is quasi cost-free. We use this observation to speed up Mont- g...
We extend the explicit formulae for arithmetic on genus two curves of [13, 21] to fields of even characteristic and to arbitrary equation of the curve. These formulae can be evaluated faster than the...
Efficient Arithmetic on Hyperelliptic Curves     Efficient Arithmetic  Hyperelliptic Curves       font style='font-size:12px;'> 2009/4/15
Efficient Arithmetic on Hyperelliptic Curves.
In elliptic curve cryptosystems, scalar multiplications performed on the curves have much effect on the efficiency of the schemes, and many efficient methods have been proposed. In particular, recod...

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