@InProceedings{briet_et_al:LIPIcs.ITCS.2024.21, author = {Bri\"{e}t, Jop and Buhrman, Harry and Castro-Silva, Davi and Neumann, Niels M. P.}, title = {{Noisy Decoding by Shallow Circuits with Parities: Classical and Quantum (Extended Abstract)}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {21:1--21:11}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-309-6}, ISSN = {1868-8969}, year = {2024}, volume = {287}, editor = {Guruswami, Venkatesan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.21}, URN = {urn:nbn:de:0030-drops-195490}, doi = {10.4230/LIPIcs.ITCS.2024.21}, annote = {Keywords: Coding theory, circuit complexity, quantum complexity theory, higher-order Fourier analysis, non-local games} }