Error correction methods based on two-faced processes

TL;DR

This paper introduces a novel error correction approach that enhances symbol interdependence in sequences, enabling effective error correction with linear complexity in communication channels.

Contribution

It proposes a new method that transforms input sequences to increase symbol interdependence, improving error correction efficiency with linear encoding and decoding complexity.

Findings

Significantly reduces error rates in communication channels.

Maintains linear complexity in encoding and decoding processes.

Enhances interdependence of symbols for better error correction.

Abstract

A new approach to the problem of error correction in communication channels is proposed, in which the input sequence is transformed in such a way that the interdependence of symbols is significantly increased. Then, after the sequence is transmitted over the channel, this property is used for error correction so that the remaining error rate is significantly reduced. The complexity of encoding and decoding is linear.