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Multi-Kernel Polar Codes: Concept and Design Principles
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DOI：10.1109/TCOMM.2020.3006212.png)
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Abstract
En 中文
In this paper, we propose a new polar code construction by employing kernels of different sizes in the Kronecker product of the transformation matrix, thus generalizing the original construction by Arikan. These multi-kernel polar codes allow for more flexibility in terms of the code length and for various new design principles. Next to the common reliability design, we provide a design to maximize the minimal distance and a hybrid design combining reliability and distance properties. Numerical results demonstrate the advantage of multi-kernel polar codes under the new design principles compared to punctured and shortened Arikan polar codes.
Keywords:
Kernel
Polar codes
Decoding
Reliability engineering
Nickel
Channel coding
polar codes
decoding
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