Randomly Punctured Reed-Solomon Codes Achieve the List Decoding Capacity over Polynomial-Size Alphabets
Author:
Affiliation:
1. The Ohio State University,Department of Computer Science and Engineering,Columbus,Ohio,United States
Publisher
IEEE
Link
http://xplorestaging.ieee.org/ielx7/10353068/10353072/10353231.pdf?arnumber=10353231
Reference52 articles.
1. Randomly punctured Reed.Solomon codes achieve list-decoding capacity over linear-sized fields;Alrabiah;arXiv preprint arXiv:2304.09445,2023
2. Channel capacities for list codes
3. Improved Field Size Bounds for Higher Order MDS Codes
4. Generic Reed-Solomon Codes Achieve List-Decoding Capacity
5. Lower Bounds for Maximally Recoverable Tensor Codes and Higher Order MDS Codes
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1. Threshold Rates of Code Ensembles: Linear Is Best;IEEE Transactions on Information Theory;2024-07
2. Randomly Punctured Reed–Solomon Codes Achieve List-Decoding Capacity over Linear-Sized Fields;Proceedings of the 56th Annual ACM Symposium on Theory of Computing;2024-06-10
3. AG Codes Achieve List Decoding Capacity over Constant-Sized Fields;Proceedings of the 56th Annual ACM Symposium on Theory of Computing;2024-06-10
4. Generalized GM-MDS: Polynomial Codes Are Higher Order MDS;Proceedings of the 56th Annual ACM Symposium on Theory of Computing;2024-06-10
5. Improved List-Decodability and List-Recoverability of Reed–Solomon Codes via Tree Packings;SIAM Journal on Computing;2024-03-19
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