Apple published the ML-KEM and ML-DSA implementations from corecrypto, the library used across iOS, macOS and its services, along with mathematical proofs and formal-verification tooling. The verification work with Galois reportedly surfaced flaws that conventional testing would have missed; the code underpins PQC on roughly 2.5 billion active devices.
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Apple open-sources corecrypto post-quantum implementations with formal proofs
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