A perfect hash function for a set S is a hash function that maps distinct elements in S to a set of integers, with no collisions. A perfect hash function has many of the same applications as other hash functions, but with the advantage that no collision resolution has to be implemented. In mathematical terms, it is a total injective function.
Read more about Perfect Hash Function: Properties and Uses, Minimal Perfect Hash Function
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—François Rabelais (14941553)
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—Frank Pittman (20th century)