Title
Decoding Downset codes over a finite grid.
Abstract
In a recent paper, Kim and Kopparty (Theory of Computing, 2017) gave a deterministic algorithm for the unique decoding problem for polynomials of bounded total degree over a general grid. 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
Venue
DocType
2019
Electronic Colloquium on Computational Complexity (ECCC)
Journal
Volume
Citations 
PageRank 
26
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Srikanth Srinivasan113221.31
Utkarsh Tripathi213.05
S. Venkitesh313.05