IMPROVING THE EFFICIENCY OF THE DATA CORRECTION PROCESS IN THE SYSTEM OF RESIDUAL CLASSES

Abstract

The article examines the influence of the corrective abilities of non-positional code structures, which are represented by mutually non-prime bases of the system of residual classes (SRC). Currently, non-positional code structures, which are represented by a set of mutually non-prime bases of SRC, have been researched rather superficially and are described qualitatively rather than quantitatively. The fact is that until now, almost no one has been engaged in a deep research of the corrective properties of non-positional code structures of SRC, the bases of which are mutually non-prime numbers. Such a system also has significant corrective capabilities, which makes it necessary to assess the possibility and expediency of using non-positional code structures presented in the form of mutually non-prime bases for increasing the reliability of computer system calculations. For the purpose of further research and development of these non-positional code structures, we will consider a number of scientific statements, the use of the results of which will allow us to more fully investigate the corrective properties of non-positional code structures with mutually non-prime bases. Algorithms for control and correction of data in SRC with mutually pairwise nonprime bases have been developed. The use of these algorithms makes it relatively simple to implement the procedure for detecting and correcting single errors. The process of detecting errors in the considered non-positional code structures in the hardwaretime aspect is implemented extremely simply. The error detection time for the SRC given by any mutually non-prime bases is always equal to three conventional time cycles and does not depend on the number of information bases. Note that due to the simplicity of the design of decoding device schemes, the considered non-positional code structures have no analogues in positional counting systems. This is achieved by limiting the class of possible corrected errors by introducing additional hardware redundancy in the representation of non-positional code structures in the SRC.