ENSL/CWI/KCL/IRISA Joint Online Cryptography Seminars
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Mon, 27 Jun 2022

  • Mon, 27 Jun 2022 13:00 Anonymity of NIST PQC Round-3 KEMs by Keita Xagawa (NTT Social Informatics Laboratories)

    This paper investigates anonymity of all NIST PQC Round~3 KEMs: Classic McEliece, Kyber, NTRU, Saber, BIKE, FrodoKEM, HQC, NTRU Prime (Streamlined NTRU Prime and NTRU LPRime), and SIKE.

    We show the following results:

    • NTRU is anonymous in the quantum random oracle model (QROM) if the underlying deterministic PKE is strongly disjoint-simulatable. NTRU is collision-free in the QROM. A hybrid PKE scheme constructed from NTRU as KEM and appropriate DEM is anonymous and robust. (Similar results for BIKE, FrodoKEM, HQC, NTRU LPRime, and SIKE hold except for one of three parameter sets of HQC.)
    • Classic McEliece is anonymous in the QROM if the underlying PKE is strongly disjoint-simulatable and a hybrid PKE scheme constructed from it as KEM and appropriate DEM is anonymous.
    • Grubbs, Maram, and Paterson pointed out that Kyber and Saber have a gap in the current IND-CCA security proof in the QROM (EUROCRYPT 2022).

    We found that Streamlined NTRU Prime has another technical obstacle for the IND-CCA security proof in the QROM.

    Those answer the open problem to investigate the anonymity and robustness of NIST PQC Round~3 KEMs posed by Grubbs, Maram, and Paterson (EUROCRYPT 2022). We use strong disjoint-simulatability of the underlying PKE of KEM and strong pseudorandomness and smoothness/sparseness of KEM as the main tools, which will be of independent interest.

    The full paper is available at https://eprint.iacr.org/2021/1323

    Speaker Bio: ⯆

    Keita Xagawa received his B.S. degree from Kyoto University and M.S. and D.S. degrees from Tokyo Institute of Technology in 2005, 2007, and 2010, respectively. He joined NTT Corporation in 2010.

    Venue: Online