International Association
for Cryptologic Research

In this paper, we introduce a new signature scheme based on the subfield bilinear collision problem published at Crypto 2024. We use techniques based on vector oblivious linear evaluation (VOLE) to significantly improve both the running time and the signature size of the scheme compared to the MPC-in-the-Head version. Furthermore, we introduce the correlated GGM forest construction, which is a generic method to correlate several GGM trees across multiple rounds of the signature scheme. This construction combines the correlated tree derivation with the hypercube folding in a layered construction.

In this paper, we introduce the subfield bilinear collision problem and use it to construct an identification protocol and a signature scheme. This construction is based on the MPC-in-the-head paradigm and uses the Fiat-Shamir transformation to obtain a signature.