Group actions are fundamental mathematical tools, both for classical
cryptography with discrete logarithm and for post-quantum cryptography,
such as isogeny-based and code-based ones. They have received a lot of
interest from the cryptographic community, who are also attracted by the
possibility of defining additional functionalities over standard
primitives. However, different families of group actions may differ
significantly in their core characteristics, so some works usually focus
on specific schemes, usually with abelian acting groups like CSI-FiSh.
In this talk, we will see some additional functionalities for general
cryptographic group actions, particularly the one arising from
isomorphism problems in coding theory used in LESS and MEDS signature
schemes, such as a threshold implementation and different commitment
design strategies.
- Tags
-