Modification of the Projection Method to Correct Errors in RNS

Abstract

In this paper, we study methods for correcting errors in the system of residual classes. Traditional correction codes have disadvantages, such as Reed-Solomon codes have a large redundancy, others have either the same disadvantages or have greater computational complexity. The residue number system has self-correcting properties that have less redundancy and computational complexity. Thus, error detection methods were considered. Based on the study, it was found that the most effective method for detecting errors is the nullivisation method.