The creation and growth of components of a given complexity in a random graph process are studied. In particular, the expected number and total size of all such components is found...
We establish central and local limit theorems for the number of vertices in the largest component of a random d-uniform hypergraph Hd(n, p) with edge probability p = c/ n−1 d−1...
We construct a new group signature scheme using bilinear groups. The group signature scheme is practical, both keys and group signatures consist of a constant number of group elem...
Abstract. We present a non-interactive chosen ciphertext secure threshold encryption system. The proof of security is set in the standard model and does not use random oracles. Our...
This paper presents an improved analysis of a structured dimension-reduction map called the subsampled randomized Hadamard transform. This argument demonstrates that the map preser...