Comparison of the Curves of the Dependence of the Probability of Bit Error on the Signal-to-Noise Ratio of Hamming Codes and Reed-Muller Codes Based on Them

A.A. Zakharkin; Aleksei Ovinnikov

doi:10.21667/978-5-7722-0425-2-23-26

June 15, 2025

Comparison of the Curves of the Dependence of the Probability of Bit Error on the Signal-to-Noise Ratio of Hamming Codes and Reed-Muller Codes Based on Them

View at Publisher

Ask AI

Bookmark

Share

Key Points

The comparison demonstrates significant differences in noise immunity curves between Hamming codes and Reed-Muller codes.
Analysis reveals that Reed-Muller codes have improved performance in terms of bit error rates at higher signal-to-noise ratios.
A brief overview of Hamming and extended Hamming codes provides foundational knowledge for understanding their applications.
Implications suggest that selecting the appropriate coding scheme can enhance data integrity in communication systems.

Implication

The study compares bit error probability in Hamming codes and Reed-Muller codes, highlighting noise immunity.

Abstract

The paper presents a comparison of the noise immunity curves of a number of Hemming codes and extended Hemming codes, which are Reed-Muller codes. A brief description of the latest codes is provided, as well as conclusions on the work.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Zakharkin et al. (2025) studied this question.

synapsesocial.com/papers/68bb420d2b87ece8dc957f13 https://doi.org/10.21667/978-5-7722-0425-2-23-26

View at Publisher

Ask AI

Bookmark

Share

Comparison of the Curves of the Dependence of the Probability of Bit Error on the Signal-to-Noise Ratio of Hamming Codes and Reed-Muller Codes Based on Them

Key Points

Implication

Abstract

Discussion

Cite This Study

Comparison of the Curves of the Dependence of the Probability of Bit Error on the Signal-to-Noise Ratio of Hamming Codes and Reed-Muller Codes Based on Them

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

More related papers

Keep reading

More related papers