"Logarithmic-Size (Linkable) Ring Signatures from Lattice Isomorphism P" by Xuan Thanh Khuc, Anh The Ta et al.
The Lattice Isomorphism Problem (LIP) asks whether two given lattices are isomorphic via an orthogonal linear transformation. At Eurocrypt 2022, Ducas and van Woerden provide a solid foundation for LIP as a promising candidate for post-quantum cryptography. They then propose a digital signature HAWK from LIP in the hash-then-sign framework, whose module version was recently investigated by Ducas et al. at Asiacrypt 2022. HAWK is one of the brightest prospects at round one of the NIST for additional digital signatures. In this paper, we build the first (linkable) ring signature schemes based on...