We derive a new algorithm for computing the Tate pairing on an elliptic curve over a finite field. The algorithm uses a generalisation of elliptic divisibility sequences known as...
Specific requirements of stream processing on the Grid are discussed. We argue that when the stream processing paradigm is used for cluster computing, the processing components c...
Consider the Vandermonde-like matrix P := (Pk(cos jπ N ))N j,k=0, where the polynomials Pk satisfy a three-term recurrence relation. If Pk are the Chebyshev polynomials Tk, then P...
We consider the problem of the exact simulation of random variables Z that satisfy the distributional identity Z L = V Y + (1 − V )Z, where V ∈ [0, 1] and Y are independent, an...
Many noise models do not faithfully reflect the noise processes introduced during data collection in many real-world applications. In particular, we argue that a type of noise re...