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Results tagged with elliptic-curve-generation
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ECC is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security. Elliptic curves are applicable for key agreement, digital signatures, pseudorandom generators, and other tasks. they can be used for encryption by combining the key agreement with an asymmetric encryption scheme.
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Order of Edwards curve and its twist
Do your experiments count points at infinity? When $d$ is a quadratic nonresidue over $\mathbb{F}$, the curve
$y^2 + x^2 = 1 + d x^2 y^2$
has no points at infinity over $\mathbb{F}$. But if $-1$ is …
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