On adapting NTRU for post-quantum public-key encryption
Seminario di De Cifris Augustae Taurinorum, in collaborazione con il Dipartimento di Scienze Matematiche "G.L. Lagrange" del Politecnico di Torino, il Dipartimento di Matematica "G. Peano" dell'Università degli Studi di Torino, Quadrans Foundation e Telsy SPA
Simone Dutto - Politecnico di Torino
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Abstract: The most significant developments in Post-Quantum Cryptography (PQC) arose from the NIST PQC standardization process, which reached its third and probably final stage in July 2020. This process focus on the selection of Key Encapsulation Mechanisms (KEMs) and Digital Signatures, hence Public-Key Encryption (PKE) schemes will not be standardized. Despite PKE schemes are usually obtained from KEMs, when adopting some of the proposed KEMs, refinements are required. This is the case of the NTRU submission: it proposes a KEM inspired by a PKE scheme introduced in 1996 by Hoffstein, Pipher and Silverman, while adopting a different mathematical environment, so that its security is increased from IND-CPA to IND-CCA2. However, one of the main drawbacks is that the definition of a PKE scheme is no longer straightforward. This work focuses on solving this problem by proposing a PKE scheme obtained from the KEM proposed in the NTRU submission while maintaining its IND-CCA2 security.