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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > ASHUTOSH SHANKAR:
All reports by Author Ashutosh Shankar:

TR25-194 | 29th November 2025
Rohan Goyal, Prahladh Harsha, Mrinal Kumar, Ashutosh Shankar

Fast list recovery of univariate multiplicity and folded Reed-Solomon codes

A recent work of Goyal, Harsha, Kumar and Shankar gave nearly linear time algorithms for the list decoding of Folded Reed-Solomon codes (FRS) and univariate multiplicity codes up to list decoding capacity in their natural setting of parameters. A curious aspect of this work was that unlike most list decoding ... more >>>


TR25-015 | 20th February 2025
Abhibhav Garg, Prahladh Harsha, Mrinal Kumar, Ramprasad Saptharishi, Ashutosh Shankar

An exposition of recent list-size bounds of FRS Codes

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 (and subsequent simplifications due to Tamo), we have had dramatic improvements in the list-size bounds of FRS ... more >>>




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