Set Systems with Restricted t-wise Intersections Modulo Prime Powers
نویسنده
چکیده
We give a polynomial upper bound on the size of set systems with restricted t-wise intersections modulo prime powers. Let t ≥ 2. Let p be a prime and q = p be a prime power. Let L = {l1, l2, . . . , ls} be a subset of {0, 1, 2, . . . , q − 1}. If F is a family of subsets of an n element set X such that |F1 ∩ · · · ∩ Ft| (mod q) ∈ L for any collection of t distinct sets from F and |F | (mod q) / ∈ L for every F ∈ F , then |F| ≤ t(t − 1) 2 2
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 16 شماره
صفحات -
تاریخ انتشار 2009