Blooming trees for minimal perfect hashing

G Antichi, D Ficara, S Giordano… - … 2008-2008 IEEE …, 2008 - ieeexplore.ieee.org
IEEE GLOBECOM 2008-2008 IEEE Global Telecommunications Conference, 2008ieeexplore.ieee.org
Hash tables are used in many networking applications, such as lookup and packet
classification. But the issue of collisions resolution makes their use slow and not suitable for
fast operations. Therefore, perfect hash functions have been introduced to make the hashing
mechanism more efficient. In particular, a minimal perfect hash function is a function that
maps a set of n keys into a set of n integer numbers without collisions. In literature, there are
many schemes to construct a minimal perfect hash function, either based on mathematical …
Hash tables are used in many networking applications, such as lookup and packet classification. But the issue of collisions resolution makes their use slow and not suitable for fast operations. Therefore, perfect hash functions have been introduced to make the hashing mechanism more efficient. In particular, a minimal perfect hash function is a function that maps a set of n keys into a set of n integer numbers without collisions. In literature, there are many schemes to construct a minimal perfect hash function, either based on mathematical properties of polynomials or on graph theory. This paper proposes a new scheme which shows remarkable results in terms of space consumption and processing speed. It is based on an alternative to Bloom Filters and requires about 4 bits per key and 12.8 seconds to construct a MPHF with 3.8times10 9 elements.
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