Hashing | Hash functions

Tabulation hashing

In computer science, tabulation hashing is a method for constructing universal families of hash functions by combining table lookup with exclusive or operations. It was first studied in the form of Zobrist hashing for computer games; later work by Carter and Wegman extended this method to arbitrary fixed-length keys. Generalizations of tabulation hashing have also been developed that can handle variable-length keys such as text strings. Despite its simplicity, tabulation hashing has strong theoretical properties that distinguish it from some other hash functions. In particular, it is 3-independent: every 3-tuple of keys is equally likely to be mapped to any 3-tuple of hash values. However, it is not 4-independent. More sophisticated but slower variants of tabulation hashing extend the method to higher degrees of independence. Because of its high degree of independence, tabulation hashing is usable with hashing methods that require a high-quality hash function, including hopscotch hashing, cuckoo hashing, and the MinHash technique for estimating the size of set intersections. (Wikipedia).

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An informal introduction to cryptography. Part of a larger series teaching programming at http://codeschool.org

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From playlist Intermediate Java

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Related pages

Polynomial | Discrete Applied Mathematics | K-independent hashing | Cuckoo hashing | Chess | Linear probing | Universal hashing | Zobrist hashing | MinHash | Hopscotch hashing | Expander graph | Hash collision | International Colloquium on Automata, Languages and Programming | Symposium on Foundations of Computer Science | Bit | Flajoletā€“Martin algorithm | Exclusive or | Hash table