@InProceedings{kunisky_et_al:LIPIcs.CCC.2023.30, author = {Kunisky, Dmitriy and Yu, Xifan}, title = {{A Degree 4 Sum-Of-Squares Lower Bound for the Clique Number of the Paley Graph}}, booktitle = {38th Computational Complexity Conference (CCC 2023)}, pages = {30:1--30:25}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-282-2}, ISSN = {1868-8969}, year = {2023}, volume = {264}, editor = {Ta-Shma, Amnon}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2023.30}, URN = {urn:nbn:de:0030-drops-183008}, doi = {10.4230/LIPIcs.CCC.2023.30}, annote = {Keywords: convex optimization, sum of squares, Paley graph, derandomization} }