We study the definability of constraint satisfaction problems (CSP) in various fixed-point and infinitary logics. We show that testing the solvability of systems of equations over...
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
Computer graphics cameras lack the finite Depth of Field (DOF) present in real world ones. This results in all objects being rendered sharp regardless of their depth, reducing the...
The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadratic multivariate polynomial equations. This problem is NP-hard ove...
Nicolas Courtois, Alexander Klimov, Jacques Patari...
If and are nonnegative integers and F is a field, then a polynomial collection {p1, . . . , p} Z[1, . . . , ] is said to be solvable over F if there exist 1, . . . , F such t...
Randall Dougherty, Christopher F. Freiling, Kennet...