Fractal Perfect Hash Families (Extended Abstract)

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Abstract

Constructions of perfect hash families (PHFs) are developed in which the number of rows is less than the strength, using a method due to Blackburn. The constructions use coverings of strength d along with a restricted class of perfect hash families, called fractal PHFs. Constructions for fractal PHFs are given, and applications to the construction of PHFs of large strengths are developed.

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Colbourn, C. J., & Dougherty, R. E. (2018). Fractal Perfect Hash Families (Extended Abstract). Electronic Notes in Discrete Mathematics, 65, 37–42. https://doi.org/10.1016/j.endm.2018.02.018

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