Effective computer technology for data processing

In this paper a non-traditional computer technology for data representation and processing is presented. It is developed on the basis of classic number theory and some results of fundamental research of Russian academicians Chebyshev and Vinogradov. A peculiarity of the algebraic constructions discussed is determined by using special polynomial conversions and mixed number systems. Some moments concerning this specific had been described previously. Special methods of representing the polynomials allow to obtain the product of two complex numbers in parallel mode using only two real multiplications instead of four as well as to obtain the product of two polynomials of a degree 'n' using n multiplications instead of n. This technology is based on applying both a polynomial ring mapping (PRM) and an extended Galois Fields techniques which allows large dynamic range computations to be performed using massively parallel small finite ring computations. Such computations can offer distinct advantages over computations using usual binary number system.