Stitched Polar Codes
Yuan Li, Zicheng Ye, Huazi Zhang, Jun Wang, Wen Tong, Guiying Yan, Zhiming Ma

TL;DR
Stitched polar codes are a new class of codes that improve reliability and performance over regular polar codes by reconfiguring the polarization process while maintaining complexity.
Contribution
We introduce stitched polar codes, a novel generalization that enhances reliability without increasing encoding or decoding complexity.
Findings
Outperform regular polar codes in various scenarios
Theoretically analyzed weight spectrum and polarization speed
Effective in rate-matched scenarios
Abstract
In this paper, we introduce stitched polar codes, a novel generalization of Ar{\i}kan's regular polar codes. Our core methodology reconfigures the fundamental polarization process by stitching additional structures to enhance the reliability of less reliable information bits in the original code. This approach preserves the polar transformation structure and maintains the same encoding and decoding complexity. Thanks to the flexible configuration, stitched polar codes consistently outperform regular polar codes, effectively solving the performance degradation issue in rate-matched scenarios. Furthermore, we provide theoretical analysis on the weight spectrum and the polarization speed of stitched polar codes to prove their superiority.
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Taxonomy
TopicsError Correcting Code Techniques · Advanced Data Storage Technologies · Caching and Content Delivery
