{"id":"https://openalex.org/W1963271091","doi":"https://doi.org/10.3390/cryptography1010002","title":"Balanced Permutations Even\u2013Mansour Ciphers","display_name":"Balanced Permutations Even\u2013Mansour Ciphers","publication_year":2016,"publication_date":"2016-04-01","ids":{"openalex":"https://openalex.org/W1963271091","doi":"https://doi.org/10.3390/cryptography1010002","mag":"1963271091"},"language":"en","primary_location":{"id":"doi:10.3390/cryptography1010002","is_oa":true,"landing_page_url":"https://doi.org/10.3390/cryptography1010002","pdf_url":"https://www.mdpi.com/2410-387X/1/1/2/pdf?version=1490165162","source":{"id":"https://openalex.org/S4210223320","display_name":"Cryptography","issn_l":"2410-387X","issn":["2410-387X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2410-387X/1/1/2/pdf?version=1490165162","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Shoni Gilboa","orcid":null},"institutions":[{"id":"https://openalex.org/I164950643","display_name":"Open University of Israel","ror":"https://ror.org/027z64205","country_code":"IL","type":"education","lineage":["https://openalex.org/I164950643"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Shoni Gilboa","raw_affiliation_strings":["Department of Mathematics and Computer Science, The Open University of Israel, Raanana 4353701, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, The Open University of Israel, Raanana 4353701, Israel","institution_ids":["https://openalex.org/I164950643"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shay Gueron","orcid":null},"institutions":[{"id":"https://openalex.org/I4210104622","display_name":"Intel (Israel)","ror":"https://ror.org/027t2s119","country_code":"IL","type":"company","lineage":["https://openalex.org/I1343180700","https://openalex.org/I4210104622"]},{"id":"https://openalex.org/I80687555","display_name":"Israel Electric (Israel)","ror":"https://ror.org/01p8dnv11","country_code":"IL","type":"company","lineage":["https://openalex.org/I80687555"]},{"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":"Shay Gueron","raw_affiliation_strings":["Department of Mathematics, University of Haifa, Haifa 3498838, Israel","Intel Corporation, Israel Development Center, Haifa 31015, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Haifa, Haifa 3498838, Israel","institution_ids":["https://openalex.org/I91203450"]},{"raw_affiliation_string":"Intel Corporation, Israel Development Center, Haifa 31015, Israel","institution_ids":["https://openalex.org/I80687555","https://openalex.org/I4210104622"]}]},{"author_position":"last","author":{"id":null,"display_name":"Mridul Nandi","orcid":"https://orcid.org/0000-0002-1029-6576"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mridul Nandi","raw_affiliation_strings":["Indian Statistical Institute, Kolkata 700108, India"],"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Kolkata 700108, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I164950643"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1732},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1732},"fwci":1.3331,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86538559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"1","issue":"1","first_page":"2","last_page":"2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.7103000283241272,"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":0.7103000283241272,"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/T10237","display_name":"Cryptography and Data Security","score":0.06859999895095825,"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/T11130","display_name":"Coding theory and cryptography","score":0.05719999969005585,"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":0.6740999817848206},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5471000075340271},{"id":"https://openalex.org/keywords/random-oracle","display_name":"Random oracle","score":0.5005000233650208},{"id":"https://openalex.org/keywords/transposition-cipher","display_name":"Transposition cipher","score":0.4657000005245209},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4627000093460083},{"id":"https://openalex.org/keywords/cipher","display_name":"Cipher","score":0.44200000166893005},{"id":"https://openalex.org/keywords/random-permutation","display_name":"Random permutation","score":0.4212999939918518},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4018999934196472}],"concepts":[{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.6740999817848206},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5471000075340271},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5062000155448914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5048999786376953},{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.5005000233650208},{"id":"https://openalex.org/C71247151","wikidata":"https://www.wikidata.org/wiki/Q840498","display_name":"Transposition cipher","level":5,"score":0.4657000005245209},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4627000093460083},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45669999718666077},{"id":"https://openalex.org/C2780221543","wikidata":"https://www.wikidata.org/wiki/Q4681865","display_name":"Cipher","level":3,"score":0.44200000166893005},{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.4212999939918518},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4018999934196472},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.387800008058548},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.359499990940094},{"id":"https://openalex.org/C25818197","wikidata":"https://www.wikidata.org/wiki/Q7255477","display_name":"Pseudorandom permutation","level":4,"score":0.33629998564720154},{"id":"https://openalex.org/C41431624","wikidata":"https://www.wikidata.org/wiki/Q1053357","display_name":"Block size","level":3,"score":0.3343999981880188},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C156529985","wikidata":"https://www.wikidata.org/wiki/Q2736227","display_name":"CBC-MAC","level":4,"score":0.2922999858856201},{"id":"https://openalex.org/C92950451","wikidata":"https://www.wikidata.org/wiki/Q864718","display_name":"Stream cipher","level":3,"score":0.27489998936653137},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.27379998564720154},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C89694405","wikidata":"https://www.wikidata.org/wiki/Q7540343","display_name":"Slide attack","level":5,"score":0.25690001249313354}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/cryptography1010002","is_oa":true,"landing_page_url":"https://doi.org/10.3390/cryptography1010002","pdf_url":"https://www.mdpi.com/2410-387X/1/1/2/pdf?version=1490165162","source":{"id":"https://openalex.org/S4210223320","display_name":"Cryptography","issn_l":"2410-387X","issn":["2410-387X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1409.0421","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.0421","pdf_url":"https://arxiv.org/pdf/1409.0421","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":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.3390/cryptography1010002","is_oa":true,"landing_page_url":"https://doi.org/10.3390/cryptography1010002","pdf_url":"https://www.mdpi.com/2410-387X/1/1/2/pdf?version=1490165162","source":{"id":"https://openalex.org/S4210223320","display_name":"Cryptography","issn_l":"2410-387X","issn":["2410-387X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1963271091.pdf","grobid_xml":"https://content.openalex.org/works/W1963271091.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W109683393","https://openalex.org/W1541453856","https://openalex.org/W1552032016","https://openalex.org/W1569217791","https://openalex.org/W1580062474","https://openalex.org/W1744216657","https://openalex.org/W1826962815","https://openalex.org/W1884480624","https://openalex.org/W2003251398","https://openalex.org/W2064939672","https://openalex.org/W2134553300","https://openalex.org/W2159864663","https://openalex.org/W2185381909","https://openalex.org/W6628896427","https://openalex.org/W6637466601","https://openalex.org/W6676925944","https://openalex.org/W6681891496","https://openalex.org/W6735526268"],"related_works":[],"abstract_inverted_index":{"The":[0],"r-rounds":[1],"Even\u2013Mansour":[2,12,119,149],"block":[3,13,120,144,217],"cipher":[4,14,145,155,218],"is":[5,74,98,102,113,156,194,220],"a":[6,61,104,140,159,204,215,233],"generalization":[7],"of":[8,67,91,108,116,128,162,192,214],"the":[9,65,80,89,114,117,132,147,179,190,209,212,227,237],"well":[10],"known":[11],"to":[15,56,125,138,178,183],"r":[16,33],"iterations.":[17],"Attacks":[18],"on":[19,51,222],"this":[20,154],"construction":[21,134],"were":[22],"described":[23],"by":[24],"Nikoli\u0107":[25,57],"et":[26,30,58],"al.":[27,31],"and":[28,111,135,182,211,225],"Dinur":[29],"for":[32,60,87,171],"=":[34],"2":[35,141,168,197,200],",":[36,165,170],"3":[37],".":[38,202],"These":[39],"attacks":[40],"are":[41,49],"only":[42],"marginally":[43],"better":[44],"than":[45],"brute":[46],"force":[47],"but":[48],"based":[50,221],"an":[52,184],"interesting":[53],"observation":[54],"(due":[55],"al.):":[59],"\u201ctypical\u201d":[62],"permutation":[63,161],"P,":[64],"distribution":[66,90],"P":[68,92],"(":[69,93,196],"x":[70,73,94,97],")":[71,95,201],"\u2295":[72,96],"not":[75],"uniform.":[76],"This":[77],"naturally":[78],"raises":[79],"following":[81],"question.":[82],"Let":[83],"us":[84],"call":[85],"permutations":[86,130,181],"which":[88],"uniformly":[99],"\u201cbalanced\u201d":[100],"\u2014":[101],"there":[103],"sufficiently":[105],"large":[106],"family":[107],"balanced":[109,129],"permutations,":[110],"what":[112],"security":[115],"resulting":[118],"cipher?":[121],"We":[122,151],"show":[123],"how":[124],"generate":[126],"families":[127],"from":[131,146,158],"Luby\u2013Rackoff":[133],"use":[136],"them":[137],"define":[139],"n":[142,169,198],"-bit":[143],"2-round":[148],"scheme.":[150],"prove":[152],"that":[153,219],"indistinguishable":[157],"random":[160],"{":[163],"0":[164],"1":[166],"}":[167],"any":[172],"adversary":[173],"who":[174],"has":[175],"oracle":[176],"access":[177],"public":[180,238],"encryption/decryption":[185],"oracle,":[186],"as":[187,189,236],"long":[188],"number":[191],"queries":[193],"o":[195],"/":[199],"As":[203],"practical":[205],"example,":[206],"we":[207],"discuss":[208],"properties":[210],"performance":[213],"256-bit":[216],"our":[223],"construction,":[224],"uses":[226],"Advanced":[228],"Encryption":[229],"Standard":[230],"(AES),":[231],"with":[232],"fixed":[234],"key,":[235],"permutation.":[239]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}