{"id":"https://openalex.org/W2100510009","doi":"https://doi.org/10.1109/tit.2012.2191655","title":"Related-Key Boomerang and Rectangle Attacks: Theory and Experimental Analysis","display_name":"Related-Key Boomerang and Rectangle Attacks: Theory and Experimental Analysis","publication_year":2012,"publication_date":"2012-03-22","ids":{"openalex":"https://openalex.org/W2100510009","doi":"https://doi.org/10.1109/tit.2012.2191655","mag":"2100510009"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2191655","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2191655","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101403681","display_name":"Jongsung Kim","orcid":"https://orcid.org/0000-0002-2608-8878"},"institutions":[{"id":"https://openalex.org/I71007489","display_name":"Kyungnam University","ror":"https://ror.org/037pkxm09","country_code":"KR","type":"education","lineage":["https://openalex.org/I71007489"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Jongsung Kim","raw_affiliation_strings":["Division of e-Business, Kyungnam University, Kyungnam, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of e-Business, Kyungnam University, Kyungnam, South Korea","institution_ids":["https://openalex.org/I71007489"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078931547","display_name":"Seokhie Hong","orcid":"https://orcid.org/0000-0001-7506-4023"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Seokhie Hong","raw_affiliation_strings":["Center for Information Security and Technologies, Korea University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Information Security and Technologies, Korea University, Seoul, South Korea","institution_ids":["https://openalex.org/I197347611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039506639","display_name":"Bart Preneel","orcid":"https://orcid.org/0000-0003-2005-9651"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Bart Preneel","raw_affiliation_strings":["Department of Electrical Engineering, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034526179","display_name":"Eli Biham","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eli Biham","raw_affiliation_strings":["Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065467078","display_name":"Orr Dunkelman","orcid":"https://orcid.org/0000-0001-5799-2635"},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Orr Dunkelman","raw_affiliation_strings":["Department of Computer Science, University of Haifa, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Haifa, Haifa, Israel","institution_ids":["https://openalex.org/I91203450"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114500405","display_name":"Nathan Keller","orcid":"https://orcid.org/0000-0002-1591-9840"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]},{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Nathan Keller","raw_affiliation_strings":["Department of Mathematics, Bar-llan University, Ramat-Gan, Israel","Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bar-llan University, Ramat-Gan, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5101403681"],"corresponding_institution_ids":["https://openalex.org/I71007489"],"apc_list":null,"apc_paid":null,"fwci":2.2106,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.89150388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"58","issue":"7","first_page":"4948","last_page":"4966"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.7339071035385132},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.7035787105560303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6945400238037109},{"id":"https://openalex.org/keywords/slide-attack","display_name":"Slide attack","score":0.554672360420227},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5519430637359619},{"id":"https://openalex.org/keywords/boomerang-attack","display_name":"Boomerang attack","score":0.5189809203147888},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5002415180206299},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.4972589313983917},{"id":"https://openalex.org/keywords/cryptanalysis","display_name":"Cryptanalysis","score":0.4813588261604309},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.430758535861969},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.399235337972641},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3644121289253235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22221699357032776},{"id":"https://openalex.org/keywords/linear-cryptanalysis","display_name":"Linear cryptanalysis","score":0.13283288478851318},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08129644393920898}],"concepts":[{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.7339071035385132},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.7035787105560303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6945400238037109},{"id":"https://openalex.org/C89694405","wikidata":"https://www.wikidata.org/wiki/Q7540343","display_name":"Slide attack","level":5,"score":0.554672360420227},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5519430637359619},{"id":"https://openalex.org/C147552392","wikidata":"https://www.wikidata.org/wiki/Q2869899","display_name":"Boomerang attack","level":5,"score":0.5189809203147888},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5002415180206299},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.4972589313983917},{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.4813588261604309},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.430758535861969},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.399235337972641},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3644121289253235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22221699357032776},{"id":"https://openalex.org/C82424418","wikidata":"https://www.wikidata.org/wiki/Q1826463","display_name":"Linear cryptanalysis","level":4,"score":0.13283288478851318},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08129644393920898},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2012.2191655","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2191655","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W18798069","https://openalex.org/W52191336","https://openalex.org/W1493204363","https://openalex.org/W1497481941","https://openalex.org/W1498330251","https://openalex.org/W1498892963","https://openalex.org/W1515958737","https://openalex.org/W1516699468","https://openalex.org/W1518406241","https://openalex.org/W1540066842","https://openalex.org/W1543271574","https://openalex.org/W1546907539","https://openalex.org/W1556212265","https://openalex.org/W1563341929","https://openalex.org/W1568817903","https://openalex.org/W1570998442","https://openalex.org/W1575149347","https://openalex.org/W1575164904","https://openalex.org/W1587158155","https://openalex.org/W1596744447","https://openalex.org/W1597699498","https://openalex.org/W1608613499","https://openalex.org/W1627707404","https://openalex.org/W1629301835","https://openalex.org/W1801799740","https://openalex.org/W1806447353","https://openalex.org/W1870015754","https://openalex.org/W1871986277","https://openalex.org/W1886859749","https://openalex.org/W1964723977","https://openalex.org/W1978695162","https://openalex.org/W1979802565","https://openalex.org/W1991897749","https://openalex.org/W2072707905","https://openalex.org/W2081451319","https://openalex.org/W2091612798","https://openalex.org/W2132271754","https://openalex.org/W2145038746","https://openalex.org/W2169290761","https://openalex.org/W2199322517","https://openalex.org/W2513781444","https://openalex.org/W2593874782","https://openalex.org/W2614865870","https://openalex.org/W4285719527","https://openalex.org/W6629656160","https://openalex.org/W6629691264","https://openalex.org/W6630994198","https://openalex.org/W6632484782","https://openalex.org/W6632738195","https://openalex.org/W6633704118","https://openalex.org/W6634081209","https://openalex.org/W6635904905","https://openalex.org/W6636625848","https://openalex.org/W6639031527","https://openalex.org/W6644966064","https://openalex.org/W6684658361"],"related_works":["https://openalex.org/W2348617949","https://openalex.org/W1565705707","https://openalex.org/W2151136913","https://openalex.org/W3159094001","https://openalex.org/W1508220342","https://openalex.org/W3031240141","https://openalex.org/W1568781938","https://openalex.org/W3137012527","https://openalex.org/W2407138520","https://openalex.org/W2617200824"],"abstract_inverted_index":{"In":[0],"2004,":[1],"we":[2],"introduced":[3],"the":[4,14,17,21,38,63,69,73,83,102,118,131,136,145,149,157,162,166,171,180,182,193,196,198],"related-key":[5,22,84,103,132],"boomerang/":[6],"rectangle":[7],"attacks,":[8,105],"which":[9],"allow":[10],"us":[11],"to":[12,32,57,78,161],"enjoy":[13],"benefits":[15],"of":[16,44,65,68,101,130,148,156,179,195],"boomerang":[18,133],"attack":[19,33,134],"and":[20,111,116],"technique,":[23,74],"simultaneously.":[24],"The":[25,95,122],"new":[26],"attacks":[27,81],"were":[28],"used":[29],"since":[30],"then":[31],"numerous":[34],"block":[35,138],"ciphers.":[36],"While":[37],"claimed":[39],"applications":[40],"are":[41,87],"significant,":[42],"most":[43],"them":[45],"have":[46],"a":[47,98,186],"major":[48],"drawback.":[49],"Their":[50],"validity":[51],"cannot":[52],"be":[53],"verified":[54],"experimentally":[55],"due":[56],"their":[58,113],"high":[59],"complexity.":[60],"Together":[61],"with":[62,185],"lack":[64],"rigorous":[66,99],"justification":[67],"probabilistic":[70],"assumptions":[71],"underlying":[72,119],"this":[75],"lead":[76],"Murphy":[77],"claim":[79],"that":[80,144,174],"using":[82],"boomerang/rectangle":[85,104],"technique":[86],"not":[88],"legitimate.":[89],"This":[90],"paper":[91],"contains":[92],"two":[93],"contributions.":[94],"first":[96],"is":[97,125,159],"analysis":[100],"including":[106],"devising":[107],"provably":[108],"optimal":[109],"distinguishers":[110],"computing":[112],"success":[114,146],"rate,":[115],"discussing":[117],"independence":[120],"assumptions.":[121],"second":[123],"contribution":[124],"an":[126],"extensive":[127],"experimental":[128],"verification":[129],"against":[135],"GSM":[137],"cipher,":[139],"KASUMI.":[140],"Our":[141],"experiments":[142],"reveal":[143],"probability":[147,168,188],"distinguisher,":[150],"when":[151],"averaged":[152],"over":[153],"different":[154],"choices":[155],"keys,":[158,181,197],"close":[160],"theoretical":[163],"prediction.":[164],"However,":[165],"exact":[167],"depends":[169],"on":[170],"key,":[172],"such":[173],"for":[175,192],"some":[176],"por-":[177],"tion":[178],"distinguisher":[183,199],"holds":[184],"higher":[187],"than":[189],"expected,":[190],"while":[191],"rest":[194],"fails":[200],"completely.":[201]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
