Description:Search for Generalized Number Systems
Abstract:The usual decimal system can be generalized in several ways, GNS (generalized number systems) being one of them. In these systems the decimal base 10 is replaced by a square matrix and the digits 0-9 are replaced by a suitable set of vectors, also called digits. In some cases, every vector in the space can be represented by a finite sum of powers of the base each multiplied by one of the digits, the same way as for example 256 is the sum of 100 times 2, 10 times 5 and 1 times 6. In these cases the vectors of the space can be mapped to finite sequences of digits and vice versa - suggesting potential applications in coding or cryptography. These applications explain why these systems are of interest for informatics.
The application was ported within the framework of the FP7 EDGeS project.