Evaluation of Computational Approaches of Short Weierstrass Elliptic Curves for Cryptography. (arXiv:2208.01634v1 [cs.CR])

The survey presents the evolution of Short Weierstrass elliptic curves after
their introduction in cryptography. Subsequently, this evolution resulted in
the establishment of present elliptic curve computational standards. We discuss
the chronology of attacks on Elliptic Curve Discrete Logarithm Problem and
investigate their countermeasures to highlight the evolved selection criteria
of cryptographically safe elliptic curves. Further, two popular deterministic
and random approaches for selection of Short Weierstrass elliptic curve for
cryptography are evaluated from computational, security and trust perspectives
and …

computational cryptography elliptic