Date de l'exposé : 5 mai 2017
Open problems in isogeny-based cryptography
Isogeny-based cryptography (IBC) is a very young field, only 10 years
old. Protocols in this family include key-exchange, encryption,
"provably secure" hash functions and trapdoor systems. Hardness
assumptions in IBC come from the difficulty of finding paths in
isogeny graphs, that is graphs of elliptic curves linked by isogenies
of some prescribed degree.
Recently some IBC protocols have raised a wave of interest thanks to
their resistance to quantum attacks and their compact key size. This
talk will review the essential topics in IBC and list some open
problems, in a way accessible to the non-specialist.
