Set Families with Low Pairwise Intersection
نویسندگان
چکیده
A (n, l, γ)-sharing set family of sizem is a family of sets S1, . . . , Sm ⊆ [n] s.t. each set has size l and each pair of sets shares at most γ elements. We let m (n, l, γ) denote the maximum size of any such set family and we consider the following question: How large can m (n, l, γ) be? (n, l, γ)-sharing set families have a rich set of applications including the construction of pseudorandom number generators[NW94] and usable and secure password management schemes [BBD13]. We analyze the explicit construction of Blocki et al [BBD13] using recent bounds [Son09] on the value of the t’th Ramanujan prime [Ram19]. We show that this explicit construction produces a (
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عنوان ژورنال:
- CoRR
دوره abs/1404.4622 شماره
صفحات -
تاریخ انتشار 2014