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3 votes

Example of CM field discriminant of elliptic curves

The speed up is not for all curves with small CM discriminant, but specifically for those with CM by $\sqrt{-3}$ (hence allowing us to define a cube root of unity $\beta=(1+\sqrt{-3})/2$. For a given ...
Daniel S's user avatar
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3 votes

On the bit security of elliptic curves

It is explained that the field $\mathbf{F}_{2^{256}}$ has a bit security of $128$ Actually, the reference was to an elliptic curve based on the field $\mathbf{F}_q$ (where $q \approx 2^{256}$) but ...
poncho's user avatar
  • 148k

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