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 postquantum standards.The scheme is designed to be simple to securely implement against side-channel attacks and to have comparable efficiency to the currently best lattice-based signature schemes.Our implementation results show that Dilithium is competitive with lattice schemes of the same security level and outperforms digital signature schemes based on other post-quantum assumptions.
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Ducas et al. (2018) studied this question.