Isogeny problems with level structure
Given two elliptic curves and the degree of an isogeny between them, finding the isogeny is
believed to be a difficult problem—upon which rests the security of nearly any isogeny …
believed to be a difficult problem—upon which rests the security of nearly any isogeny …
Finding orientations of supersingular elliptic curves and quaternion orders
An oriented supersingular elliptic curve is a curve which is enhanced with the information of
an endomorphism. Computing the full endomorphism ring of a supersingular elliptic curve is …
an endomorphism. Computing the full endomorphism ring of a supersingular elliptic curve is …
Avoiding Trusted Setup in Isogeny-based Commitments
In 2021, Sterner proposed a commitment scheme based on supersingular isogenies. For
this scheme to be binding, one relies on a trusted party to generate a starting supersingular …
this scheme to be binding, one relies on a trusted party to generate a starting supersingular …
The design, concrete security and efficiency of isogeny-based cryptography
M Corte-Real Santos - 2024 - discovery.ucl.ac.uk
The security of most public-key cryptosystems that are currently deployed rely on the
hardness of the discrete logarithm problem or of the integer factorisation problem. In 1994 …
hardness of the discrete logarithm problem or of the integer factorisation problem. In 1994 …