Design of Majority Decoded Codes and Decoding Algorithm Based on Error Propagation Analysis

Modern digital communication systems are subject to very strict requirements for the reliability of information transmission. To ensure these requirements the methods of error-correction coding are applied. In this paper, we propose a method and software to design majority decoding codes and multi-threshold decoders to reduce the effect of decoding error propagation. Simulation and simulation results show that iterative multi-threshold decoding with selected parameters allows for near-optimal decoding of self-orthogonal codes with linear implementation complexity, demonstrating good error correction ability at low noise levels. The proposed codes and corresponding decoding circuits provide gains of tenths of a decibel when the noise level increases.