Proving knowledge of isogenies: a survey

Isogeny-based cryptography is an active area of research in post-quantum public key cryptography. The problem of proving knowledge of an isogeny is a natural problem that has several applications in isogeny-based cryptography, such as allowing users to demonstrate that they are behaving honestly in a protocol. It is also related to isogeny-based digital signatures. Over the last few years, there have been a number of advances in this area, but there are still many open problems. This paper aims to give an overview of the topic and highlight some open problems and directions for future research.

Automated summary

Isogeny-based cryptography is an active area of research in post-quantum public key cryptography, with applications in protocol honesty demonstrations and isogeny-based digital signatures. Recent years have seen advancements in this field, but there are still unresolved problems. This paper provides an overview of the topic and highlights open problems and directions for future research.