When writing a program generator requires considerable intellectual effort, it is valuable to amortize that effort by using the generator to build more than one application. When ...
Abstract. In many cryptographic applications it is necessary to generate elliptic curves (ECs) with certain security properties. These curves are commonly constructed using the Com...
Elisavet Konstantinou, Yannis C. Stamatiou, Christ...
Every finite field has many multiplicative generators. However, finding one in polynomial time is an important open problem. In fact, even finding elements of high order has n...
Abstract. We propose exact, complete and efficient methods for 2 problems: First, the real solving of systems of two bivariate rational polynomials of arbitrary degree. This means ...
We investigate the decoding problem of Reed-Solomon (RS) Codes, also known as the Polynomial Reconstruction Problem (PR), from a cryptographic hardness perspective. Namely, we dea...