An exposition of recent list-size bounds of FRS Codes

Abhibhav Garg; Prahladh Harsha; Mrinal Kumar; Ramprasad Saptharishi; Ashutosh Shankar

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arXiv · 2502.14358

An exposition of recent list-size bounds of FRS Codes

Abhibhav Garg·Prahladh Harsha·Mrinal Kumar·Ramprasad Saptharishi·Ashutosh Shankar

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Abstract

In the last year, there have been some remarkable improvements in the combinatorial list-size bounds of Folded Reed Solomon codes and multiplicity codes. Starting from the work on Kopparty, Ron-Zewi, Saraf and Wootters (SIAM J. Comput. 2023) (and subsequent simplifications due to Tamo (IEEE Trans. Inform. Theory 2024), we have had dramatic improvements in the list-size bounds of FRS codes due to Srivastava (SODA 2025) and Chen & Zhang (STOC 2025). In this note, we give a short exposition of these three results (Tamo, Srivastava and Chen-Zhang).

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Abhibhav Garg, Prahladh Harsha, Mrinal Kumar, Ramprasad Saptharishi, Ashutosh Shankar. 2025-02-20. An exposition of recent list-size bounds of FRS Codes. https://arxiv.org/abs/2502.14358

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