Title
Efficiently List-Decodable Punctured Reed-Muller Codes.
Abstract
The Reed-Muller (RM) code, encoding n-variate degree-d polynomials over Fq for d <; q, with its evaluation on Fqn, has a relative distance 1 - d/q and can be list decoded from a 1- O(√d/q) fraction of errors. In this paper, for d ≪ q, we give a length-efficient puncturing of such codes, which (almost) retains the distance and list decodability properties of the RM code, but has a much better rate....
Year
DOI
Venue
2017
10.1109/TIT.2017.2692212
IEEE Transactions on Information Theory
Keywords
Field
DocType
Decoding,Reed-Solomon codes,Zinc,Computer science,Mobile communication,Education,Geometry
Discrete mathematics,Combinatorics,Polynomial,Algebraic function field,Multiplication,Omega,Concatenation,Reed–Muller code,List decoding,Puncturing,Mathematics
Journal
Volume
Issue
ISSN
63
7
0018-9448
Citations 
PageRank 
References 
0
0.34
13
Authors
3
Name
Order
Citations
PageRank
V. Guruswami13205247.96
Lingfei Jin213515.30
Chaoping Xing3916110.47