On Weight Enumeration and Structure Characterization of Polar Codes via Group Actions
Fuente:
arXiv
Saved in:
| Main Authors: | Dragoi, Vlad-Florin, Rowshan, Mohammad |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Generalized Weight Structure of Polar Codes: Selected Template Polynomials
by: Rowshan, Mohammad, et al.
Published: (2026)
by: Rowshan, Mohammad, et al.
Published: (2026)
Towards Weight Distribution-Aware Polar Codes
by: Rowshan, Mohammad, et al.
Published: (2025)
by: Rowshan, Mohammad, et al.
Published: (2025)
A Hybrid Reliability--Weight Framework for Construction of Polar Codes
by: Rowshan, Mohammad, et al.
Published: (2026)
by: Rowshan, Mohammad, et al.
Published: (2026)
Weight Structure of Low/High-Rate Polar Codes and Its Applications
by: Rowshan, Mohammad, et al.
Published: (2024)
by: Rowshan, Mohammad, et al.
Published: (2024)
Algebraic Properties of PAC Codes
by: Dragoi, Vlad-Florin, et al.
Published: (2026)
by: Dragoi, Vlad-Florin, et al.
Published: (2026)
Structural Analysis of Directional qLDPC Codes
by: Rowshan, Mohammad
Published: (2026)
by: Rowshan, Mohammad
Published: (2026)
PAC Codes Meet CRC-Polar Codes
by: Gu, Xinyi, et al.
Published: (2025)
by: Gu, Xinyi, et al.
Published: (2025)
Structural Conditions for Native CCZ Magic-State Fountains in qLDPC Codes
by: Rowshan, Mohammad
Published: (2026)
by: Rowshan, Mohammad
Published: (2026)
Bias-Aware BP Decoding of Quantum Codes via Directional Degeneracy
by: Rowshan, Mohammad
Published: (2026)
by: Rowshan, Mohammad
Published: (2026)
Single-Shot and Few-Shot Decoding via Stabilizer Redundancy in Bivariate Bicycle Codes
by: Rowshan, Mohammad
Published: (2026)
by: Rowshan, Mohammad
Published: (2026)
Strip-Symmetric Quantum Codes for Biased Noise: Z-Decoupling in Stabilizer and Floquet Codes
by: Rowshan, Mohammad
Published: (2026)
by: Rowshan, Mohammad
Published: (2026)
Enumeration of Minimum Weight Codewords of Pre-Transformed Polar Codes by Tree Intersection
by: Zunker, Andreas, et al.
Published: (2023)
by: Zunker, Andreas, et al.
Published: (2023)
PAC Codes: Sequential Decoding vs List Decoding
by: Rowshan, Mohammad, et al.
Published: (2020)
by: Rowshan, Mohammad, et al.
Published: (2020)
Reverse PAC Codes: Look-ahead List Decoding
by: Gu, Xinyi, et al.
Published: (2024)
by: Gu, Xinyi, et al.
Published: (2024)
Estimating the Weight Enumerators of Reed-Muller Codes via Sampling
by: Jain, Shreyas, et al.
Published: (2024)
by: Jain, Shreyas, et al.
Published: (2024)
Segmented GRAND: Complexity Reduction through Sub-Pattern Combination
by: Rowshan, Mohammad, et al.
Published: (2023)
by: Rowshan, Mohammad, et al.
Published: (2023)
Channel Coding Toward 6G: Technical Overview and Outlook
by: Rowshan, Mohammad, et al.
Published: (2024)
by: Rowshan, Mohammad, et al.
Published: (2024)
On the Weight Spectrum of Rate-Compatible Polar Codes
by: Ye, Zicheng, et al.
Published: (2024)
by: Ye, Zicheng, et al.
Published: (2024)
Cyclic Group Projection for Enumerating Quasi-Cyclic Codes Trapping Sets
by: Usatyuk, Vasiliy, et al.
Published: (2024)
by: Usatyuk, Vasiliy, et al.
Published: (2024)
On the Weight Distribution of Weights Less than $2w_{\min}$ in Polar Codes
by: Ye, Zicheng, et al.
Published: (2023)
by: Ye, Zicheng, et al.
Published: (2023)
Constant Weight Polar Codes through Periodic Markov Processes
by: Shuval, Boaz, et al.
Published: (2025)
by: Shuval, Boaz, et al.
Published: (2025)
Weight Enumerators From Equivalence Relations and MacWilliams Identities
by: Dougherty, S. T., et al.
Published: (2025)
by: Dougherty, S. T., et al.
Published: (2025)
A Method to Reduce the Complexity of Computing the Complete Weight Distribution of Polar Codes
by: Liu, Zhichao, et al.
Published: (2024)
by: Liu, Zhichao, et al.
Published: (2024)
Whitney Numbers of Rank-Metric Lattices and Code Enumeration
by: Cotardo, Giuseppe, et al.
Published: (2024)
by: Cotardo, Giuseppe, et al.
Published: (2024)
A Parity-Consistent Decomposition Method for the Weight Distribution of Pre-Transformed Polar Codes
by: Liu, Yang, et al.
Published: (2026)
by: Liu, Yang, et al.
Published: (2026)
Rate-Matching Deep Polar Codes via Polar Coded Extension
by: Choi, Geon, et al.
Published: (2025)
by: Choi, Geon, et al.
Published: (2025)
Construction Methods Based on Minimum Weight Distribution for Polar Codes with Successive Cancellation List Decoding
by: Piao, Jinnan, et al.
Published: (2023)
by: Piao, Jinnan, et al.
Published: (2023)
On the Algebraic Structure Underlying the Support Enumerators of Linear Codes
by: Kenjale, Nitin, et al.
Published: (2026)
by: Kenjale, Nitin, et al.
Published: (2026)
Last-Pair Swapping Polar Codes: A Structure to Improve Polarization under Finite-State Modulation
by: Mei, Yinuo, et al.
Published: (2025)
by: Mei, Yinuo, et al.
Published: (2025)
Stitched Polar Codes
by: Li, Yuan, et al.
Published: (2025)
by: Li, Yuan, et al.
Published: (2025)
On Polar Coding with Feedback
by: Liu, Ling, et al.
Published: (2026)
by: Liu, Ling, et al.
Published: (2026)
Strong Polarization for Shortened and Punctured Polar Codes
by: Shuval, Boaz, et al.
Published: (2024)
by: Shuval, Boaz, et al.
Published: (2024)
A Structural Characterization of Cyclotomic Cosets with Applications to Affine-Invariant Codes and BCH Codes
by: Zheng, Xiongkun, et al.
Published: (2026)
by: Zheng, Xiongkun, et al.
Published: (2026)
Partially Polarized Polar Codes: A New Design for 6G Control Channels
by: Fazeli, Arman, et al.
Published: (2026)
by: Fazeli, Arman, et al.
Published: (2026)
Fisher-Rao distances between finite-energy signals in Gaussian noise
by: Florin, Franck
Published: (2025)
by: Florin, Franck
Published: (2025)
Polar Coded Quantization for Distributed Source Coding
by: Sener, Muhammed Yusuf, et al.
Published: (2026)
by: Sener, Muhammed Yusuf, et al.
Published: (2026)
Construction of Simultaneously Good Polar Codes and Polar Lattices
by: Liu, Ling, et al.
Published: (2025)
by: Liu, Ling, et al.
Published: (2025)
Identification Codes via Prime Numbers
by: Zinoghli, Emad, et al.
Published: (2024)
by: Zinoghli, Emad, et al.
Published: (2024)
Precoded Polar Product Codes
by: Coşkun, Mustafa Cemil
Published: (2024)
by: Coşkun, Mustafa Cemil
Published: (2024)
Selectively Precoded Polar Codes
by: Mishra, Samir Kumar, et al.
Published: (2020)
by: Mishra, Samir Kumar, et al.
Published: (2020)
Similar Items
-
Generalized Weight Structure of Polar Codes: Selected Template Polynomials
by: Rowshan, Mohammad, et al.
Published: (2026) -
Towards Weight Distribution-Aware Polar Codes
by: Rowshan, Mohammad, et al.
Published: (2025) -
A Hybrid Reliability--Weight Framework for Construction of Polar Codes
by: Rowshan, Mohammad, et al.
Published: (2026) -
Weight Structure of Low/High-Rate Polar Codes and Its Applications
by: Rowshan, Mohammad, et al.
Published: (2024) -
Algebraic Properties of PAC Codes
by: Dragoi, Vlad-Florin, et al.
Published: (2026)