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PreprintCC BY 4.0arXiv

Algorithmic List Decoding of Reed-Solomon Codes up to Capacity

Abstract

We give a deterministic polynomial-time list-decoding algorithm for Reed-Solomon codes over prime fields that approaches list-decoding capacity for every evaluation set and every constant rate.

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BibTeX
@misc{brakensiek2026algorithmic,
  title = {{Algorithmic List Decoding of Reed-Solomon Codes up to Capacity}},
  author = {Joshua Brakensiek and Yeyuan Chen and Aaron Putterman and Zihan Zhang and Kai Zhe Zheng},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08005},
  eprint = {2609.08005},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08005},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Algorithmic List Decoding of Reed-Solomon Codes up to Capacity
AU  - Joshua Brakensiek
AU  - Yeyuan Chen
AU  - Aaron Putterman
AU  - Zihan Zhang
AU  - Kai Zhe Zheng
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.08005
UR  - https://arxiv.org/abs/2609.08005
AB  - We give a deterministic polynomial-time list-decoding algorithm for Reed-Solomon codes over prime fields that approaches list-decoding capacity for every evaluation set and every constant rate.
ER  -