An (n, q, t)-perfect hash family of size s consists of a set V of order n, a set F of order q, and a sequence , 1 , , 2 , ..., , s of functions from V to F with the following property. For all t-subsets X V, there exists i # [1, 2, ..., s] such that , i is injective when restricted to X. An (n, q, t
Some recursive constructions for perfect hash families
β Scribed by M. Atici; S. S. Magliveras; D. R. Stinson; W.-D. Wei
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 452 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
β¦ Synopsis
An (n, m, w)-perfect hash family is a set of functions F such that f : (1
π SIMILAR VOLUMES
Let A be a set of order n and B be a set of order m. An (n, m, w)-perfect hash family is a set H of functions from A to B such that for any X A with |X |=w, there exists an element h # H such that h is one-to-one when restricted to X. Perfect hash families have many applications to computer science,
In this paper, we consider explicit constructions of perfect hash families using combinatorial methods. We provide several direct constructions from combinatorial structures related to orthogonal arrays. We also simplify and generalize a recursive construction due to Atici, Magliversas, Stinson and
We present a new recursive construction for difference matrices whose application allows us to improve some results by D. Jungnickel. For instance, we prove that for any Abelian p-group G of type (n1 , n2 , . . . , nt) there exists a (G, p e , 1) difference matrix with e = Ξ£ i n i m ax i n i . Also,
## Abstract We establish some properties of mixed difference families. We obtain some criteria for the existence of such families and a special kind of multipliers. Several methods are presented for the construction of difference families by using cyclotomy and genetic algorithms. Β© 2004 Wiley Peri