@InProceedings{burke_et_al:LIPIcs.FUN.2022.10, author = {Burke, Kyle W. and Ferland, Matthew and Teng, Shang-Hua}, title = {{Nimber-Preserving Reduction: Game Secrets And Homomorphic Sprague-Grundy Theorem}}, booktitle = {11th International Conference on Fun with Algorithms (FUN 2022)}, pages = {10:1--10:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-232-7}, ISSN = {1868-8969}, year = {2022}, volume = {226}, editor = {Fraigniaud, Pierre and Uno, Yushi}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FUN.2022.10}, URN = {urn:nbn:de:0030-drops-159808}, doi = {10.4230/LIPIcs.FUN.2022.10}, annote = {Keywords: Combinatorial Games, Nim, Generalized Geography, Sprague-Grundy Theory, Grundy value, Computational Complexity, Functional-Preserving Reductions} }