Title
Improved List-Decodability and List-Recoverability of Reed-Solomon Codes via Tree Packings: [Extended Abstract]
Abstract
This paper shows that there exist Reed-Solomon (RS) codes, over large finite fields, that are combinatorially list-decodable well beyond the Johnson radius, in fact almost achieving list-decoding capacity. In particular, we show that for any ε E (0,1] there exist RS codes with rate $\Omega(\frac{\varepsilon}{1\not\varepsilon(1/_{\in})+1})$ that are list-decodable from radius of 1-ε. We ...
Year
DOI
Venue
2021
10.1109/FOCS52979.2021.00074
2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)
Keywords
DocType
ISSN
Reed-Solomon codes,Computer science,Codes,Graph theory,Galois fields
Conference
0272-5428
ISBN
Citations 
PageRank 
978-1-6654-2055-6
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Zeyu Guo100.34
Ray Li200.34
Chong Shangguan300.34
Itzhak Tamo454836.05
Mary Wootters517225.99