List Decoding for Reed-Muller Codes and Its Application to Polar Codes
نویسنده
چکیده
Gopalan, Klivans, and Zuckerman proposed a list-decoding algorithm for Reed-Muller codes. Their algorithm works up to a given list-decoding radius. Dumer, Kabatiansky, and Tavernier improved the complexity of the algorithm for binary Reed-Muller codes by using wellknown Plotkin construction. In this study, we propose a list-decoding algorithm for non-binary Reed-Muller codes as a natural generalization of Dumer et al.’s algorithm. Arikan introduced polar codes as a generalization of Reed-Muller codes. We show a sufficient condition for polar codes under which the list-decoding algorithm above works.
منابع مشابه
A RM-Polar Codes
Introduction: Polar codes are a major breakthrough in coding theory [1]. They can achieve Shannon capacity with a simple encoder and a simple successive cancellation (SC) decoder, both with low complexity of the order of ( ) N N log O , where N is the code block size. But for short and moderate lengths, the error rate performance of polar codes with the SC decoding is not as good as LDPC or tur...
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