AG Codes Achieve List Decoding Capacity over Constant-Sized Fields
Author:
Affiliation:
1. Independent Researcher, N/A, USA
2. Massachusetts Institute of Technology, Cambridge, USA
3. Microsoft Research, Redmond, USA
4. Ohio State University, Columbus, USA
Funder
Microsoft Research
National Science Foundation
Publisher
ACM
Link
https://dl.acm.org/doi/pdf/10.1145/3618260.3649651
Reference41 articles.
1. Omar Alrabiah Venkatesan Guruswami and Ray Li. 2023. AG codes have no list-decoding friends: Approaching the generalized Singleton bound requires exponential alphabets. arXiv preprint arXiv:2308.13424.
2. Omar Alrabiah Venkatesan Guruswami and Ray Li. 2023. Randomly punctured Reed–Solomon codes achieve list-decoding capacity over linear-sized fields. arXiv preprint arXiv:2304.09445.
3. Joshua Brakensiek Manik Dhar and Sivakanth Gopi. 2023. Generalized GM-MDS: Polynomial Codes are Higher Order MDS. arXiv preprint arXiv:2310.12888.
4. Improved Field Size Bounds for Higher Order MDS Codes
5. Joshua Brakensiek Manik Dhar Sivakanth Gopi and Zihan Zhang. 2023. AG codes achieve list decoding capacity over constant-sized fields. arXiv e-prints arXiv–2310.
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1. AG Codes Achieve List Decoding Capacity over Constant-Sized Fields;Proceedings of the 56th Annual ACM Symposium on Theory of Computing;2024-06-10
2. Generalized GM-MDS: Polynomial Codes Are Higher Order MDS;Proceedings of the 56th Annual ACM Symposium on Theory of Computing;2024-06-10
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