The reduction function must transform a hash into something usable as a password. The hashing function for a given set of Rainbow Tables must match the hashed password you want to recover. Constructing a rainbow table requires two things: a hashing function and a reduction function. To use a hash table, simple take the hash and perform a binary search in the table to find the original password, if it's present. The password-hash pairs are stored in a table, sorted by hash value. Hash tables are constructed by hashing each word in a password dictionary. Rainbow Tables are commonly confused with another, simpler technique that leverages a compute time-storage tradeoff in password recover: hash tables.
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