2025/06/18 by Mohammad Rowshan, Rowshan, Mohammad, Vlad Drăgoi +1
Biochemistry, Genetics and Molecular Biology · Computer Science · #Advanced Data Storage Technologies #Algorithms and Data Compression #DNA and Biological Computing #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · pdf · doi:10.48550/arxiv.2506.15467
openalex publication_date 2025/06/18 · openalex created_date 2025/10/18 · openalex updated_date 2026/07/28
Polar codes are constructed based on the reliability of sub-channels resulting from the polarization effect. However, this information-theoretic construction approach leads to a poor weight distribution. To address this issue, pre-transformed polar codes, such as CRC-polar codes and PAC codes, have been employed. In this paper, we focus on the structure of polar codes without applying any pre-transformations and explore methods, guided by the weight-contribution partial order, to design polar-like codes with enhanced weight distribution, notably without employing any search or optimization algorithms. Numerical results demonstrate improvement over a range of codes both with and without pre-transformation.