I'd recommend use of a Password-Based Key Derivation Function instead of a basic hash function for this. Something like this:
// tuning parameters
// these sizes are relatively arbitrary
int seedBytes = 20;
int hashBytes = 20;
// increase iterations as high as your performance can tolerate
// since this increases computational cost of password guessing
// which should help security
int iterations = 1000;
// to save a new password:
SecureRandom rng = new SecureRandom();
byte[] salt = rng.generateSeed(seedBytes);
Pkcs5S2ParametersGenerator kdf = new Pkcs5S2ParametersGenerator();
kdf.init(passwordToSave.getBytes("UTF-8"), salt, iterations);
byte[] hash =
((KeyParameter) kdf.generateDerivedMacParameters(8*hashBytes)).getKey();
// now save salt and hash
// to check a password, given the known previous salt and hash:
kdf = new Pkcs5S2ParametersGenerator();
kdf.init(passwordToCheck.getBytes("UTF-8"), salt, iterations);
byte[] hashToCheck =
((KeyParameter) kdf.generateDerivedMacParameters(8*hashBytes)).getKey();
// if the bytes of hashToCheck don't match the bytes of hash
// that means the password is invalid
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