Verified Correctness and Security of mbedTLS HMAC-DRBG

August 28, 2017 ยท Declared Dead ยท ๐Ÿ› Conference on Computer and Communications Security

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Authors Katherine Q. Ye, Matthew Green, Naphat Sanguansin, Lennart Beringer, Adam Petcher, Andrew W. Appel arXiv ID 1708.08542 Category cs.CR: Cryptography & Security Citations 59 Venue Conference on Computer and Communications Security Last Checked 3 months ago
Abstract
We have formalized the functional specification of HMAC-DRBG (NIST 800-90A), and we have proved its cryptographic security--that its output is pseudorandom--using a hybrid game-based proof. We have also proved that the mbedTLS implementation (C program) correctly implements this functional specification. That proof composes with an existing C compiler correctness proof to guarantee, end-to-end, that the machine language program gives strong pseudorandomness. All proofs (hybrid games, C program verification, compiler, and their composition) are machine-checked in the Coq proof assistant. Our proofs are modular: the hybrid game proof holds on any implementation of HMAC-DRBG that satisfies our functional specification. Therefore, our functional specification can serve as a high-assurance reference.
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