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Elliptic curves are algebraic-geometric structures with applications in cryptography. Such a curve consists of the set of solutions to a cubic equation over a finite field equipped with a group operation. Questions relating to elliptic curves and derived algorithms should use this tag and might also consider more specific tags such as discrete-logarithm and ecdsa.
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Evaluation of polynomial when using elliptic curves for verifiable secret sharing
I am implementing the following the algorithm instructions as shown in 1 (section IV, B).
When trying to verify the share given the commits, $a_jG$ verifier $i$ checks whether $f(i)G=\sum_{j=0}^{t} (x …
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The equivalence of exponentiation and multiplication over elliptic curves
I am trying to convert $(g^a)^{i^2}\mod p$ to an equivalent Elliptic Curve expression.
Let's assume a base point $G$ over an appropriate ECC.
Will $(g^a)^{i^2}\mod p$ be equivalent to $G\cdot a\cdot i …