In this paper, we introduce a new approach to the generation of binary sequences by applying trace functions to elliptic curves over GF 2m. We call these sequences elliptic curve...
Small-bias, or -biased, spaces have found many applications in complexity theory, coding theory, and derandomization. We generalize the notion of small-bias spaces to the setting ...
We present a family of verifiable random functions which are provably secure for exponentially-large input spaces under a non-interactive complexity assumption. Prior construction...
Constructions of k-wise almost independent permutations have been receiving a growing amount of attention in recent years. However, unlike the case of k-wise independent functions...
Extractable functions are functions where any adversary that outputs a point in the range of the function is guaranteed to "know" a corresponding preimage. Here, knowledg...