Constructing Supersingular Elliptic Curves Depending on the Coefficients of Weierstrass Equation
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Abstract
In the use of elliptic curves in its applications (especially in cryptography),
one often needs to construct elliptic curves with a known type (number of
points) over a given finite field Fp, where some types are more secure than
others. So we introduce a simple way to construct a supersingular elliptic curve
by computing the coefficient of xp-1 in f(x)(p-1)/2 where
f(x)= x3
+ax+b. And we give an algorithm that compute that coefficient and
construct the required curve.
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How to Cite
Constructing Supersingular Elliptic Curves Depending on the Coefficients of Weierstrass Equation. (2022). Journal of the College of Basic Education, 16(65), 159-174. https://doi.org/10.35950/cbej.vi.7647
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Articles for the humanities and pure sciences
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How to Cite
Constructing Supersingular Elliptic Curves Depending on the Coefficients of Weierstrass Equation. (2022). Journal of the College of Basic Education, 16(65), 159-174. https://doi.org/10.35950/cbej.vi.7647