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The LLL algorithm takes as input a basis of a Euclidean lattice, and, within a polynomial number of operations, it outputs another basis of the same lattice but consisting of rather short vectors. We ...
On the Non-Existence of Short Vectors in Random Module Lattices
Lattice-based cryptography Fiat-Shamir signatures module lattices
2019/8/30
Recently, Lyubashevsky & Seiler (Eurocrypt 2018) showed that small polynomials in the cyclotomic ring Zq[X]/(Xn+1)Zq[X]/(Xn+1), where nn is a power of two, are invertible under special congruence cond...
CRYSTALS -- Dilithium: Digital Signatures from Module Lattices
digital signatures post-quantum cryptography implementations
2017/6/28
This paper presents Dilithium, a lattice-based signature scheme that is part of the CRYSTALS (Cryptographic Suite for Algebraic Lattices) package that will be submitted to the NIST call for post-quant...