GCD: Garbled, Corrected, Demonstrandum -- Fixing and Proving Go's Extended GCD Implementation
Critical RSA key generation flaw discovered in Go's standard library despite direct BoringSSL porting, affecting enterprise cryptographic foundations.
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arXiv:2606.05796v2 Announce Type: replace Abstract: We verify the 'extendedGCD' implementation in Go's standard library ('crypto/internal/fips140/bigmod'), which plays a crucial role in the generation of RSA key pairs. Even though the Go implementation is supposedly a direct port from BoringSSL's implementation, we uncovered two deviations that each break the algorithm's invariants: (1) the Go implementation deviates in the way coefficients are updated, and (2) it permits a larger input domain.
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