9 papers · 1 filter
Turán-Theoretic Bounds on Several Elementary Trapping Sets in LDPC Codes
Ziyang Zhao, Haoran Xiong, Zicheng Ye +2
LDPC codes have attracted significant attention due to their capacity-approaching performance. Elementary trapping sets are the main cause of the error floor phenomenon in LDPC cod…
Stitched Polar Codes
Yuan Li, Zicheng Ye, Huazi Zhang +4
In this paper, we introduce stitched polar codes, a novel generalization of Arıkan's regular polar codes. Our core methodology reconfigures the fundamental polarization process by…
Coded Water-Filling for Multi-User Interference Cancellation
Yuan Li, Zicheng Ye, Huazi Zhang +3
In this paper, we study the system-level advantages provided by rateless coding, early termination and power allocation strategy for multiple users distributed across multiple cell…
On the Weight Spectrum of Rate-Compatible Polar Codes
Zicheng Ye, Yuan Li, Zhichao Liu +4
The weight spectrum plays a crucial role in the performance of error-correcting codes. Despite substantial theoretical exploration of polar codes with mother code length, a framewo…
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…
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…
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…
The Complete SC-invariant Affine Automorphisms of Polar Codes
Zicheng Ye, Yuan Li, Huazi Zhang +4
Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders in parallel and hence has lower latency c…
Improving the Gilbert-Varshamov Bound by Graph Spectral Method
Zicheng Ye, Huazi Zhang, Rong Li +3
We improve Gilbert-Varshamov bound by graph spectral method. Gilbert graph is a graph with all vectors in as vertices where two vertices are adjacent i…