In response to the rapid evolution of quantum computing, The American National Institute of Standards and Technologies (NIST) started a public process to define quantum-resistant public-key cryptography algorithms for standardization. The first algorithms to be standardized were chosen by the NIST following three rounds of examination and analysis following the public request for proposals to the PQC Standardization Process in December 2016.
The security of three out of four of the selected digital signature schemes relies on the hardness of solving mathematical problems based on so-called structured lattices. To decrease the risk of future attacks, NIST wishes to diversify the portfolio ofhard mathematical problems underlying digital signature schemes. Hence the new call for proposals.
TII is involved in the development of a cryptographic suite of several Digital Signature Schemes (DSS) based on well-established hard mathematical problems not using lattices:
DSS based on the MinRank Problem (in collaboration with researchers from Politecnico di Torino)
DSS based on the Permutation Kernel Problem (in collaboration with researchers from INRIA, University of Limoges)
DSS based on the Rank Syndrome Decoding Problem (in collaboration with researchers from CISPA, CryptoExperts / University of Sorbonne, INRIA, University of Limoges, University of Rouen)
DSS based on the Code Equivalence Problem (in collaboration with researchers from University of South Florida, Politecnico di Milano, Università Roma Sapienza, PQShield and Tampere University, Università Politecnica delle Marche)
DSS based on the Minrank Problem (in collaboration with researchers from CryptoExperts / University of Sorbonne, INRIA, University of Limoges, University of Rouen)
DSS based on the Multivariate Quadratic Problem and Shorter MPC-based Signatures from PoSSo (in collaboration with researchers from Idemia, Queens College, Sorbonne University)
DSS based on isogenies (in collaboration with researchers from University College London, IBM Research Europe, Norwegian University of Science and Technology, Institut de Mathématiques de Marseille, DGA-MI/Université de Rennes, Microsoft Research, University of Regensburg, Academia Sinica, IBM Research India, Université libre de Bruxelles/University of Birmingham, CNRS and ENS de Lyon)