A method of generation of high-powered finite matrix fields and an one-way matrix function for exchange of cryptographic key

Author: Melkisadeg Jinjikhadze
Co-authors: Richard Megrelishvili
Keywords: finite matrix field, primitive matrix, one-way matrix function
Annotation:

The report discusses a new one-way matrix function for exchang of cryptographic key and a method of generating Galois matrix fields having special properties for avoiding Cryptographic attack. The report also rewievs a special structure, the substructure of which is used as a primitive matrix to generate Galois matrix fields.