O.S. Mezentseva, A.O. Kochev

The proposed technology for linear and quadratic Diophantine equations solving are implemented in non-positional number system - the residual number system (RNS), based on the residues theory. The advantages of RNS are internal parallelism and low-capacity of residues allowed to implement solution technologies of Diophantine equations on the NeuroMatrix hardware platform, the main functional element of NeuroMatrix is vector co-processor that allows you to work with operands of any length (not even a power of two) in the range of 1 to 64 bits. The possibility of using the RNS basic operations library, realized taking into account architecture features of neuroprocessor and contains feature for capacity reduce, the introduction in range of base-system, addition and multiplication for numbers in RNS are shown. The possibility of effective application of the proposed technologies for task of transformation, transmission, and protection images is considered.