Abstract. In this talk, based on work appearing at PQCrypto 2022, I present a new generic construction for building efficient multivariate encryption schemes. These constructions add a nonlinear modifier to multivariate schemes. This modifier disrupts the algebraic properties that are traditionally used to break multivariate schemes; however, the schemes are susceptible to an attack based on finding short vectors in a lattice related to the private key. Adding to the work presented at PQCrypto 2022 [1], I show how keys can be generated that appear immune from the lattice attacks due to the fact that the vectors in the related lattice are not among the shortest.
Security and Privacy: cryptography