A Fourier-Analytic Approach to List-Decoding for Sparse Random Linear Codes

作者:Kawachi Akinori*; Yamane Ikko
来源:IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2015, E98D(3): 532-540.
DOI:10.1587/transinf.2014FCP0016

摘要

It is widely known that decoding problems for random linear codes are computationally hard in general. Surprisingly, Kopparty and Saraf proved query-efficient list-decodability of sparse random linear codes by showing a reduction from a decoding problem for sparse random linear codes to that for the Hadamard code with small number of queries even under high error rate [11]. In this paper, we show a more direct list-decoding algorithm for sparse random linear codes with small number of queries from a Fourier-analytic approach.

  • 出版日期2015-3

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