… In this paper, we provide a description of how elliptic curves … progress on super singular
elliptic curves isogenies, which may … are what are called super singular elliptic curves. For these …

… of supersingular isogeny cryptography and how it fits into the broad theme of post-quantum …
For a thorough survey of the state of post-quantum crypto up to 2009, we recommend the …

… , we show that ordinary elliptic curves have less than … supersingular elliptic curve isogenies.
We extend their construction and show that isogenies between supersingular elliptic curves …

… 19], using supersingular elliptic curves. Since the discrete logarithm problem is unimportant
… elliptic curves are used in an isogeny-based system, we propose using supersingular curves …

… on elliptic curves which computationally constructs an algebraic map between elliptic curves…
In particular, unlike traditional ECC, isogeny computations over supersingular elliptic curves …

… the action of the ideal class group in the case of ordinary and supersingular elliptic curves
… In Chapter 6 we extend this action to subsets of supersingular elliptic curves equipped with …

… on supersingular elliptic curve isogenies … elliptic curves over a finite field \(\mathbb {F}_q\).
An isogeny \(\phi :E_1 \rightarrow E_2\) is a surjective rational map between elliptic curves …

… In section V we explain elliptic curves, isogenies over them and describe the SIKE (Supersingular
Isogeny based Key Exchange) protocol based on it. Finally in section VI we discuss …

… Post-Quantum Standardization Process, namely isogeny cryptosystems based on supersingular
elliptic curves… protocols based on these three post-quantum cryptographic primitives and …

… to other post-quantum signature schemes based on supersingular elliptic curve isogenies, …
our scheme is shorter than those post-quantum signature schemes based on supersingular …