Title
Decoding Variants of Reed-Muller Codes over Finite Grids
Abstract
AbstractIn a recent article, Kim and Kopparty (2017) gave a deterministic algorithm for the unique decoding problem for polynomials of bounded total degree over a general grid S1 × … × Sm. We show that their algorithm can be adapted to solve the unique decoding problem for the general family of Downset codes. Here, a downset code is specified by a family D of monomials closed under taking factors: The corresponding code is the space of evaluations of all polynomials that can be written as linear combinations of monomials from D.
Year
DOI
Venue
2020
10.1145/3417754
ACM Transactions on Computation Theory
Keywords
DocType
Volume
Downset, downset code, Reed-Solomon code, Reed-Muller code, minimum distance, weighted function, weighted distance, unique decoding
Journal
12
Issue
ISSN
Citations 
4
1942-3454
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Srikanth Srinivasan113221.31
Utkarsh Tripathi213.05
S. Venkitesh313.05