We study the multiplication of multivariate power series. We show that over large enough fields, the bilinear complexity of the product modulo a monomial ideal M is bounded by th...
In [1] a construction of a block cipher from a single pseudorandom permutation is proposed. In a complexity theoretical setting they prove that this scheme is secure against a pol...
This paper considers the problem of dualizing a monotone CNF (equivalently, computing all minimal transversals of a hypergraph), whose associated decision problem is a prominent o...
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Abstract. Buhrman, Cleve and Wigderson gave a general communication protocol for block-composed functions f(g1(x1 , y1 ), · · · , gn(xn , yn )) by simulating a decision tree com...