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cs.IT2023
On the Weight Distribution of Weights Less than in Polar Codes
Zicheng Ye, Yuan Li, Huazi Zhang +3
The number of low-weight codewords is critical to the performance of error-correcting codes. In 1970, Kasami and Tokura characterized the codewords of Reed-Muller (RM) codes whose…
cs.IT2023
On the Weight Spectrum Improvement of Pre-transformed Reed-Muller Codes and Polar Codes
Yuan Li, Zicheng Ye, Huazi Zhang +3
Pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and polarization-adjusted convolutional (PAC) codes) improves the wei…
cs.IT2023
Theoretical Bounds for the Size of Elementary Trapping Sets by Graphic Methods
Haoran Xiong, Zicheng Ye, Huazi Zhang +6
Elementary trapping sets (ETSs) are the main culprits for the performance of LDPC codes in the error floor region. Due to the large quantity, complex structures, and computational…