Machine-checked proofs for cryptographic standards indifferentiability of SPONGE and secure high-assurance implementations of SHA-3

We present a high-assurance and high-speed implementation of the SHA-3 hash function. Our implementation is written in the Jasmin programming language, and is formally verified for functional correctness, provable security and timing attack resistance in the EasyCrypt proof assistant. Our implementation is the first to achieve simultaneously the four desirable properties (efficiency, correctness, provable security, and side-channel protection) for a non-trivial cryptographic primitive.Concretely, our mechanized proofs show that: 1) the SHA-3 hash function is indifferentiable from a random oracle, and thus is resistant against collision, first and second preimage attacks; 2) the SHA-3 hash function is correctly implemented by a vectorized x86 implementation. Furthermore, the implementation is provably protected against timing attacks in an idealized model of timing leaks. The proofs include new EasyCrypt libraries of independent interest for programmable random oracles and modular indifferentiability proofs.This work received support from the National Institute of Standards and Technologies under agreement number 60NANB15D248.This work was partially supported by Office of Naval Research under projects N00014-12-1-0914, N00014-15-1-2750 and N00014-19-1-2292.This work was partially funded by national funds via the Portuguese Foundation for Science and Technology (FCT) in the context of project PTDC/CCI-INF/31698/2017. Manuel Barbosa was supported by grant SFRH/BSAB/143018/2018 awarded by the FCT.This work was supported in part by the National Science Foundation under grant number 1801564.This work was supported in part by the FutureTPM project of the Horizon 2020 Framework Programme of the European Union, under GA number 779391.This work was supported by the ANR Scrypt project, grant number ANR-18-CE25-0014.This work was supported by the ANR TECAP project, grant number ANR-17-CE39-0004-01