Abstract
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.