Title
A Fourier-Analytic Approach To List-Decoding For Sparse Random Linear Codes
Abstract
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.
Year
DOI
Venue
2015
10.1587/transinf.2014FCP0016
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS
Keywords
Field
DocType
list-decoding, Fourier analysis
Sequential decoding,Berlekamp–Welch algorithm,Fourier analysis,Computer science,Sparse approximation,Fourier transform,Theoretical computer science,Linear code,List decoding
Journal
Volume
Issue
ISSN
E98D
3
1745-1361
Citations 
PageRank 
References 
1
0.35
6
Authors
2
Name
Order
Citations
PageRank
Akinori Kawachi118520.66
Ikko Yamane210.35