The implementation of information and communication technologies with the use of modular codes

Abstract

The purpose of the study is to improve the speed and accuracy of the implementation of information technology through the use of modular code. The paper presents the developed Orthogonal Frequency Division Multiplexing (OFDM) algorithm in the codes of residue number system (RNS). The studies have shown that the performance of OFDM based on number-theoretic transforming in RNS code allows you to perform orthogonal transformational changes of signals without calculating the real and imaginary parts of the spectrum. In addition, the transition to integer calculations eliminates round-off errors that were caused by the use of irrational numbers when submitting twiddle OFDM coefficients. It is shown that the use of new modular technologies in protocols used in electronic payment systems allows for calculations in real-time by parallelizing the operations at the level of processing short numbers