What Is Grover's Algorithm?
While Shor's algorithm attacks public-key cryptography (ECDSA, RSA), Grover's algorithm attacks symmetric cryptography and hash functions. Grover's provides a quadratic speedup for searching — effectively halving the security level of symmetric keys. A 128-bit symmetric key has 64-bit quantum security against Grover's.
Impact on Crypto Hash Functions
Most blockchain proof-of-work relies on hash functions (Bitcoin uses SHA-256). Grover's algorithm reduces SHA-256's effective security from 256 bits to 128 bits against a quantum adversary. This is still considered secure at adequate key sizes, but represents a meaningful reduction in security margin.
How BMIC Addresses Both Quantum Threats
BMIC's NIST FIPS 205 (SLH-DSA) is a stateless hash-based signature scheme that remains secure against both Shor's and Grover's algorithms. The security parameters are chosen to maintain adequate safety margins even against quantum adversaries. ⚠️ DYOR. Not financial advice. Crypto investments carry significant risk.