{"id":"https://openalex.org/W2549946355","doi":"https://doi.org/10.5220/0006091305990609","title":"Hacking of the AES with Boolean Functions","display_name":"Hacking of the AES with Boolean Functions","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2549946355","doi":"https://doi.org/10.5220/0006091305990609","mag":"2549946355"},"language":"en","primary_location":{"id":"doi:10.5220/0006091305990609","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0006091305990609","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 3rd International Conference on Information Systems Security and Privacy","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1609.03734","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102931397","display_name":"Michel Dubois","orcid":"https://orcid.org/0000-0002-8302-2330"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michel Dubois","raw_affiliation_strings":["Operational Cryptology and Virology Laboratory, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operational Cryptology and Virology Laboratory, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089725479","display_name":"\u00c9ric Filiol","orcid":null},"institutions":[{"id":"https://openalex.org/I35298706","display_name":"ESIEA University","ror":"https://ror.org/00g6cx256","country_code":"FR","type":"education","lineage":["https://openalex.org/I35298706"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Filiol","raw_affiliation_strings":["Operational Cryptology and Virology Laboratory, France","ESIEA University, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operational Cryptology and Virology Laboratory, France","institution_ids":[]},{"raw_affiliation_string":"ESIEA University, Paris, France","institution_ids":["https://openalex.org/I35298706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102931397"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00577779,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"599","last_page":"609"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","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/T11130","display_name":"Coding theory and cryptography","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/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9991000294685364,"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":0.730671763420105},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6674277782440186},{"id":"https://openalex.org/keywords/differential-cryptanalysis","display_name":"Differential cryptanalysis","score":0.6326056122779846},{"id":"https://openalex.org/keywords/higher-order-differential-cryptanalysis","display_name":"Higher-order differential cryptanalysis","score":0.607219934463501},{"id":"https://openalex.org/keywords/cryptanalysis","display_name":"Cryptanalysis","score":0.5881863832473755},{"id":"https://openalex.org/keywords/linear-cryptanalysis","display_name":"Linear cryptanalysis","score":0.5248168706893921},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4984395503997803},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47697290778160095},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.4645061194896698},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4477597773075104},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4137198030948639},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.412892609834671},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3973187208175659},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38926923274993896},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.36979037523269653},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3346688747406006},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17988920211791992}],"concepts":[{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.730671763420105},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6674277782440186},{"id":"https://openalex.org/C36123800","wikidata":"https://www.wikidata.org/wiki/Q1224471","display_name":"Differential cryptanalysis","level":4,"score":0.6326056122779846},{"id":"https://openalex.org/C151607707","wikidata":"https://www.wikidata.org/wiki/Q11673206","display_name":"Higher-order differential cryptanalysis","level":5,"score":0.607219934463501},{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.5881863832473755},{"id":"https://openalex.org/C82424418","wikidata":"https://www.wikidata.org/wiki/Q1826463","display_name":"Linear cryptanalysis","level":4,"score":0.5248168706893921},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4984395503997803},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47697290778160095},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.4645061194896698},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4477597773075104},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4137198030948639},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.412892609834671},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3973187208175659},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38926923274993896},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.36979037523269653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3346688747406006},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17988920211791992}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.5220/0006091305990609","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0006091305990609","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 3rd International Conference on Information Systems Security and Privacy","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1609.03734","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1609.03734","pdf_url":"https://arxiv.org/pdf/1609.03734","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2549946355","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1609.03734.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1609.03734","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1609.03734","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1609.03734","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1609.03734","pdf_url":"https://arxiv.org/pdf/1609.03734","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1490062711","https://openalex.org/W1509866513","https://openalex.org/W1542020576","https://openalex.org/W1891181203","https://openalex.org/W2173356534","https://openalex.org/W2189498597","https://openalex.org/W2504274129"],"related_works":["https://openalex.org/W2963387334","https://openalex.org/W2009098236","https://openalex.org/W2395185451","https://openalex.org/W2114878009","https://openalex.org/W2173365412","https://openalex.org/W3150000000","https://openalex.org/W1526753367","https://openalex.org/W2541377360","https://openalex.org/W2370395125","https://openalex.org/W1651602301","https://openalex.org/W2949336843","https://openalex.org/W1975161332","https://openalex.org/W2018135428","https://openalex.org/W3186573290","https://openalex.org/W2070687394","https://openalex.org/W3210635633","https://openalex.org/W2712696683","https://openalex.org/W131415491","https://openalex.org/W3131193102","https://openalex.org/W2902369085"],"abstract_inverted_index":{"One":[0],"of":[1,5,10,17,23,60,68,71,117,123,172,214],"the":[2,8,15,21,29,58,66,75,149,158,166,183],"major":[3],"issues":[4],"cryptography":[6],"is":[7,14,33,102,139,163,220],"cryptanalysis":[9,59],"cipher":[11,63],"algorithms.":[12],"Cryptanalysis":[13],"study":[16],"methods":[18],"for":[19,38,192],"obtaining":[20],"meaning":[22],"encrypted":[24],"information,":[25],"without":[26],"access":[27],"to":[28,52,56,65,164,195,201,229],"secret":[30],"information":[31],"that":[32],"normally":[34],"required.":[35],"Some":[36],"mechanisms":[37],"breaking":[39],"codes":[40],"include":[41],"differential":[42],"cryptanalysis,":[43],"advanced":[44],"statistics":[45],"and":[46,96,153,199,224],"brute-force.":[47],"Recent":[48],"works":[49],"also":[50,83],"attempt":[51],"use":[53,84,188],"algebraic":[54,85,135,178],"tools":[55,86],"reduce":[57],"a":[61,69,89,103,170,189,203,211],"block":[62],"algorithm":[64,168],"resolution":[67],"system":[70,219],"quadratic":[72],"equations":[73,194,215,218],"describing":[74],"ciphering":[76],"structure.":[77],"In":[78],"our":[79],"study,":[80],"we":[81,187,209],"will":[82],"but":[87],"in":[88],"new":[90,212,227],"way:":[91],"by":[92,111,133,181],"using":[93,182],"Boolean":[94,100,118,127,173],"functions":[95,119,174],"their":[97,177,197],"properties.":[98],"A":[99],"function":[101,104,128,151],"from":[105],"$F_2^n\\to":[106],"F_2$":[107],"with":[108],"$n&gt;1$,":[109],"characterized":[110],"its":[112,134],"truth":[113],"table.":[114],"The":[115],"arguments":[116],"are":[120],"binary":[121],"words":[122],"length":[124],"$n$.":[125],"Any":[126],"can":[129],"be":[130],"represented,":[131],"uniquely,":[132],"normal":[136,179],"form":[137],"which":[138,142],"an":[140],"equation":[141],"only":[143],"contains":[144],"additions":[145],"modulo":[146,155],"2":[147,156],"-":[148,152,157],"XOR":[150],"multiplications":[154],"AND":[159],"function.":[160],"Our":[161],"aim":[162],"describe":[165],"AES":[167],"as":[169],"set":[171],"then":[175],"calculate":[176],"forms":[180],"M\u00f6bius":[184],"transforms.":[185],"After,":[186],"specific":[190],"representation":[191],"these":[193],"facilitate":[196],"analysis":[198],"particularly":[200],"try":[202],"combinatorial":[204],"analysis.":[205],"Through":[206],"this":[207],"approach":[208],"obtain":[210],"kind":[213],"system.":[216],"This":[217],"more":[221],"easily":[222],"implementable":[223],"could":[225],"open":[226],"ways":[228],"cryptanalysis.":[230]},"counts_by_year":[],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
