{"day":"01","quality_controlled":"1","intvolume":"        80","date_updated":"2021-01-12T08:11:15Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"abstract":[{"lang":"eng","text":"De, Trevisan and Tulsiani [CRYPTO 2010] show that every distribution over n-bit strings which has constant statistical distance to uniform (e.g., the output of a pseudorandom generator mapping n-1 to n bit strings), can be distinguished from the uniform distribution with advantage epsilon by a circuit of size O( 2^n epsilon^2). We generalize this result, showing that a distribution which has less than k bits of min-entropy, can be distinguished from any distribution with k bits of delta-smooth min-entropy with advantage epsilon by a circuit of size O(2^k epsilon^2/delta^2). As a special case, this implies that any distribution with support at most 2^k (e.g., the output of a pseudoentropy generator mapping k to n bit strings) can be distinguished from any given distribution with min-entropy k+1 with advantage epsilon by a circuit of size O(2^k epsilon^2). Our result thus shows that pseudoentropy distributions face basically the same non-uniform attacks as pseudorandom distributions. "}],"status":"public","ec_funded":1,"volume":80,"pubrep_id":"893","project":[{"name":"Teaching Old Crypto New Tricks","_id":"258AA5B2-B435-11E9-9278-68D0E5697425","grant_number":"682815","call_identifier":"H2020"}],"has_accepted_license":"1","year":"2017","ddc":["005"],"file":[{"access_level":"open_access","file_id":"4701","creator":"system","checksum":"e95618a001692f1af2d68f5fde43bc1f","file_name":"IST-2017-893-v1+1_LIPIcs-ICALP-2017-39.pdf","date_created":"2018-12-12T10:08:40Z","file_size":601004,"content_type":"application/pdf","date_updated":"2020-07-14T12:47:46Z","relation":"main_file"}],"date_published":"2017-07-01T00:00:00Z","alternative_title":["LIPIcs"],"article_number":"39","date_created":"2018-12-11T11:47:59Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"KrPi"}],"file_date_updated":"2020-07-14T12:47:46Z","language":[{"iso":"eng"}],"publist_id":"7003","author":[{"id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","last_name":"Pietrzak","full_name":"Pietrzak, Krzysztof Z","first_name":"Krzysztof Z","orcid":"0000-0002-9139-1654"},{"first_name":"Maciej","full_name":"Skórski, Maciej","id":"EC09FA6A-02D0-11E9-8223-86B7C91467DD","last_name":"Skórski"}],"conference":{"location":"Warsaw, Poland","start_date":"2017-07-10","end_date":"2017-07-14","name":"ICALP: International Colloquium on Automata, Languages, and Programming"},"publication_status":"published","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","scopus_import":1,"oa":1,"oa_version":"Published Version","citation":{"apa":"Pietrzak, K. Z., &#38; Skórski, M. (2017). Non uniform attacks against pseudoentropy (Vol. 80). Presented at the ICALP: International Colloquium on Automata, Languages, and Programming, Warsaw, Poland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.ICALP.2017.39\">https://doi.org/10.4230/LIPIcs.ICALP.2017.39</a>","short":"K.Z. Pietrzak, M. Skórski, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.","ieee":"K. Z. Pietrzak and M. Skórski, “Non uniform attacks against pseudoentropy,” presented at the ICALP: International Colloquium on Automata, Languages, and Programming, Warsaw, Poland, 2017, vol. 80.","mla":"Pietrzak, Krzysztof Z., and Maciej Skórski. <i>Non Uniform Attacks against Pseudoentropy</i>. Vol. 80, 39, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href=\"https://doi.org/10.4230/LIPIcs.ICALP.2017.39\">10.4230/LIPIcs.ICALP.2017.39</a>.","chicago":"Pietrzak, Krzysztof Z, and Maciej Skórski. “Non Uniform Attacks against Pseudoentropy,” Vol. 80. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. <a href=\"https://doi.org/10.4230/LIPIcs.ICALP.2017.39\">https://doi.org/10.4230/LIPIcs.ICALP.2017.39</a>.","ista":"Pietrzak KZ, Skórski M. 2017. Non uniform attacks against pseudoentropy. ICALP: International Colloquium on Automata, Languages, and Programming, LIPIcs, vol. 80, 39.","ama":"Pietrzak KZ, Skórski M. Non uniform attacks against pseudoentropy. In: Vol 80. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href=\"https://doi.org/10.4230/LIPIcs.ICALP.2017.39\">10.4230/LIPIcs.ICALP.2017.39</a>"},"type":"conference","_id":"697","doi":"10.4230/LIPIcs.ICALP.2017.39","publication_identifier":{"issn":["18688969"]},"title":"Non uniform attacks against pseudoentropy","month":"07"}