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As per the wikipedia article:

" Where the salt only has to be long enough to be unique, a pepper has to be secure to remain secret (at least 112 bits is recommended by NIST), otherwise an attacker only needs one known entry to crack the pepper. "

If you use e.g. a 128 bit pepper, anyone trying to brute-force that based on a known email-hash combination would need to brute force 128 bits.




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