Abstract. The most costly operations encountered in pairing computations are those that take place in the full extension field Fpk . At high levels of security, the complexity of ...
Craig Costello, Colin Boyd, Juan Manuel Gonz&aacut...
We present a data structure, called a ray interpolant tree, or RI-tree, which stores a discrete set of directed lines in 3-space, each represented as a point in 4-space. Each dire...
Financial derivatives are contracts concerning rights and obligations to engage in future transactions on some underlying financial instrument. A major concern in financial mark...
We introduce an efficient way of performing polynomial multiplication in a class of finite fields GF(pm ) in the frequency domain. The Fast Fourier Transform (FFT) based frequency...
We use higher-order logic to verify a quantifier elimination procedure for linear arithmetic over ordered fields, where the coefficients of variables are multivariate polynomials o...