{"title":"On treewidth, separators and Yao's garbling","oa":1,"year":"2021","language":[{"iso":"eng"}],"date_created":"2021-09-24T12:01:34Z","conference":{"name":"TCC: Theory of Cryptography Conference","start_date":"2021-11-08","location":"Raleigh, NC, United States","end_date":"2021-11-11"},"date_updated":"2023-09-07T13:32:11Z","publication_status":"published","project":[{"name":"Teaching Old Crypto New Tricks","call_identifier":"H2020","_id":"258AA5B2-B435-11E9-9278-68D0E5697425","grant_number":"682815"}],"date_published":"2021-07-08T00:00:00Z","ec_funded":1,"article_processing_charge":"No","citation":{"ista":"Kamath Hosdurg C, Klein K, Pietrzak KZ. 2021. On treewidth, separators and Yao’s garbling. 19th Theory of Cryptography Conference 2021. TCC: Theory of Cryptography Conference, 2021/926.","mla":"Kamath Hosdurg, Chethan, et al. “On Treewidth, Separators and Yao’s Garbling.” <i>19th Theory of Cryptography Conference 2021</i>, 2021/926, International Association for Cryptologic Research, 2021.","short":"C. Kamath Hosdurg, K. Klein, K.Z. Pietrzak, in:, 19th Theory of Cryptography Conference 2021, International Association for Cryptologic Research, 2021.","chicago":"Kamath Hosdurg, Chethan, Karen Klein, and Krzysztof Z Pietrzak. “On Treewidth, Separators and Yao’s Garbling.” In <i>19th Theory of Cryptography Conference 2021</i>. International Association for Cryptologic Research, 2021.","ieee":"C. Kamath Hosdurg, K. Klein, and K. Z. Pietrzak, “On treewidth, separators and Yao’s garbling,” in <i>19th Theory of Cryptography Conference 2021</i>, Raleigh, NC, United States, 2021.","ama":"Kamath Hosdurg C, Klein K, Pietrzak KZ. On treewidth, separators and Yao’s garbling. In: <i>19th Theory of Cryptography Conference 2021</i>. International Association for Cryptologic Research; 2021.","apa":"Kamath Hosdurg, C., Klein, K., &#38; Pietrzak, K. Z. (2021). On treewidth, separators and Yao’s garbling. In <i>19th Theory of Cryptography Conference 2021</i>. Raleigh, NC, United States: International Association for Cryptologic Research."},"month":"07","article_number":"2021/926","quality_controlled":"1","oa_version":"Preprint","_id":"10044","status":"public","abstract":[{"text":"We show that Yao’s garbling scheme is adaptively indistinguishable for the class of Boolean circuits of size S and treewidth w with only a S^O(w) loss in security. For instance, circuits with constant treewidth are as a result adaptively indistinguishable with only a polynomial loss. This (partially) complements a negative result of Applebaum et al. (Crypto 2013), which showed (assuming one-way functions) that Yao’s garbling scheme cannot be adaptively simulatable. As main technical contributions, we introduce a new pebble game that abstracts out our security reduction and then present a pebbling strategy for this game where the number of pebbles used is roughly O(d w log(S)), d being the fan-out of the circuit. The design of the strategy relies on separators, a graph-theoretic notion with connections to circuit complexity.","lang":"eng"}],"publication":"19th Theory of Cryptography Conference 2021","publisher":"International Association for Cryptologic Research","author":[{"id":"4BD3F30E-F248-11E8-B48F-1D18A9856A87","full_name":"Kamath Hosdurg, Chethan","last_name":"Kamath Hosdurg","first_name":"Chethan"},{"id":"3E83A2F8-F248-11E8-B48F-1D18A9856A87","first_name":"Karen","last_name":"Klein","full_name":"Klein, Karen"},{"id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9139-1654","first_name":"Krzysztof Z","last_name":"Pietrzak","full_name":"Pietrzak, Krzysztof Z"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","type":"conference","related_material":{"record":[{"relation":"later_version","id":"10409","status":"public"},{"id":"10035","relation":"dissertation_contains","status":"public"}]},"department":[{"_id":"KrPi"}],"main_file_link":[{"url":"https://eprint.iacr.org/2021/926","open_access":"1"}],"day":"08","acknowledgement":"We would like to thank Daniel Wichs for helpful discussions on the landscape of adaptive security of Yao’s garbling.  "}