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A General Construction of Min-Wise Independent Permutations

Yoshinori TAKEI, Toshiya ITOH

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Summary :

A min-wise independent permutation family is known to be an efficient tool to estimate similarity of documents. Toward good understanding of min-wise independence, we present a characterization of exactly min-wise independent permutation families by size uniformity, which represents certain symmetry of the string representation of a family. Also, we present a general construction strategy which produce any exactly min-wise independent permutation family using this characterization.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.4 pp.646-655
Publication Date
2000/04/25
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Type of Manuscript
Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
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