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math.CO2018★ 1 cited
A probabilistic variant of Sperner's theorem and of maximal -cover free families
Noga Alon, Shoni Gilboa, Shay Gueron
A family of sets is called -\emph{cover free} if no set in the family is contained in the union of (or less) other sets in the family. A -cover free family is simply an a…
math.CO2016★ 16 cited
The Advantage of Truncated Permutations
Shoni Gilboa, Shay Gueron
Constructing a Pseudo Random Function (PRF) is a fundamental problem in cryptology. Such a construction, implemented by truncating the last bits of permutations of $\{0, 1\}^{n…