@InProceedings{venkitesh:LIPIcs.ITCS.2025.93, author = {Venkitesh, S.}, title = {{Polynomials, Divided Differences, and Codes}}, booktitle = {16th Innovations in Theoretical Computer Science Conference (ITCS 2025)}, pages = {93:1--93:25}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-361-4}, ISSN = {1868-8969}, year = {2025}, volume = {325}, editor = {Meka, Raghu}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2025.93}, URN = {urn:nbn:de:0030-drops-227216}, doi = {10.4230/LIPIcs.ITCS.2025.93}, annote = {Keywords: Error-correcting code, polynomial code, Reed-Solomon code, Reed-Muller code, folded Reed-Solomon code, folded Reed-Muller code, multiplicity code, divided difference, q-derivative, polynomial method, list decoding, list decoding capacity, linear algebraic list decoding} }