{"id":"https://openalex.org/W3038039303","doi":"https://doi.org/10.46586/tosc.v2021.i2.423-445","title":"On Length Independent Security Bounds for the PMAC Family","display_name":"On Length Independent Security Bounds for the PMAC Family","publication_year":2021,"publication_date":"2021-06-11","ids":{"openalex":"https://openalex.org/W3038039303","doi":"https://doi.org/10.46586/tosc.v2021.i2.423-445","mag":"3038039303"},"language":"en","primary_location":{"id":"doi:10.46586/tosc.v2021.i2.423-445","is_oa":true,"landing_page_url":"https://doi.org/10.46586/tosc.v2021.i2.423-445","pdf_url":null,"source":{"id":"https://openalex.org/S4210236173","display_name":"IACR Transactions on Symmetric Cryptology","issn_l":"2519-173X","issn":["2519-173X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IACR Transactions on Symmetric Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.46586/tosc.v2021.i2.423-445","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102022775","display_name":"Bishwajit Chakraborty","orcid":"https://orcid.org/0000-0001-8729-6163"},"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":"Bishwajit Chakraborty","raw_affiliation_strings":["Indian Statistical Institute, Kolkata, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062321288","display_name":"Soumya Chattopadhyay","orcid":null},"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":"Soumya Chattopadhyay","raw_affiliation_strings":["Indian Statistical Institute, Kolkata, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020938458","display_name":"Ashwin Jha","orcid":"https://orcid.org/0000-0001-5957-2837"},"institutions":[{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ashwin Jha","raw_affiliation_strings":["CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210128801"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058556310","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, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4086,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65815679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"423","last_page":"445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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":0.9995999932289124,"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/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"}},{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9962000250816345,"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/pmac","display_name":"PMAC","score":0.9883967041969299},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.5776233077049255},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.5715426206588745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46822211146354675},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4616386592388153},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4237968325614929},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4152457118034363},{"id":"https://openalex.org/keywords/pseudorandom-function-family","display_name":"Pseudorandom function family","score":0.4120576083660126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39313381910324097},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.3660947382450104},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3529619872570038},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.3510807156562805},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3228922188282013},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.09547388553619385},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09093683958053589}],"concepts":[{"id":"https://openalex.org/C102305610","wikidata":"https://www.wikidata.org/wiki/Q7119717","display_name":"PMAC","level":3,"score":0.9883967041969299},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.5776233077049255},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.5715426206588745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46822211146354675},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4616386592388153},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4237968325614929},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4152457118034363},{"id":"https://openalex.org/C178774983","wikidata":"https://www.wikidata.org/wiki/Q734896","display_name":"Pseudorandom function family","level":3,"score":0.4120576083660126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39313381910324097},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.3660947382450104},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3529619872570038},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3510807156562805},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3228922188282013},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.09547388553619385},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09093683958053589},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.46586/tosc.v2021.i2.423-445","is_oa":true,"landing_page_url":"https://doi.org/10.46586/tosc.v2021.i2.423-445","pdf_url":null,"source":{"id":"https://openalex.org/S4210236173","display_name":"IACR Transactions on Symmetric Cryptology","issn_l":"2519-173X","issn":["2519-173X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IACR Transactions on Symmetric Cryptology","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:88116d0fafcb4d5780acbda146dbbe51","is_oa":true,"landing_page_url":"https://doaj.org/article/88116d0fafcb4d5780acbda146dbbe51","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IACR Transactions on Symmetric Cryptology, Vol 2021, Iss 2 (2021)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/24612498","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/On_Length_Independent_Security_Bounds_for_the_PMAC_Family/24612498","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"doi:10.60882/cispa.24612498.v1","is_oa":true,"landing_page_url":"https://doi.org/10.60882/cispa.24612498.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050916","display_name":"CISPA Helmholtz Center","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"JournalArticle"}],"best_oa_location":{"id":"doi:10.46586/tosc.v2021.i2.423-445","is_oa":true,"landing_page_url":"https://doi.org/10.46586/tosc.v2021.i2.423-445","pdf_url":null,"source":{"id":"https://openalex.org/S4210236173","display_name":"IACR Transactions on Symmetric Cryptology","issn_l":"2519-173X","issn":["2519-173X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IACR Transactions on Symmetric Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2951298046","https://openalex.org/W3181658616","https://openalex.org/W2138018877","https://openalex.org/W3091421443","https://openalex.org/W4231199372","https://openalex.org/W3115403546","https://openalex.org/W2238118150","https://openalex.org/W3038039303","https://openalex.org/W2596955036","https://openalex.org/W2387100713"],"abstract_inverted_index":{"At":[0],"FSE":[1,61],"2017,":[2],"Ga\u017ei":[3,81],"et":[4,13,82],"al.":[5,83],"demonstrated":[6],"a":[7,103,155,211,238],"pseudorandom":[8],"function":[9],"(PRF)":[10],"distinguisher":[11],"(Ga\u017ei":[12],"al.,":[14],"ToSC":[15,137],"2016(2))":[16],"on":[17,89],"PMAC":[18,117,131,162],"with":[19,52,118,132,237],"\u03a9(lq2/2n)":[20],"advantage,":[21],"where":[22],"q,":[23],"l,":[24],"and":[25,41,59,63,66],"n,":[26],"denote":[27],"the":[28,45,53,73,87,112,158,166,170,178,219,228,242],"number":[29,280],"of":[30,38,44,56,76,79,106,130,143,160,214,222,230,235,245,255,281],"queries,":[31],"maximum":[32],"permissible":[33],"query":[34],"length":[35],"(in":[36],"terms":[37],"n-bit":[39],"blocks),":[40],"block":[42,47,246],"size":[43],"underlying":[46],"cipher.":[48],"This,":[49],"in":[50,116,157,192,241,283],"combination":[51,244],"upper":[54],"bounds":[55,198],"\u039f(lq2/2n)":[57],"(Minematsu":[58],"Matsushima,":[60],"2007)":[62],"\u039f(q\u03c3/2n)":[64],"(Nandi":[65],"Mandal,":[67],"J.":[68],"Mathematical":[69],"Cryptology":[70],"2008(2)),":[71],"resolved":[72],"long-standing":[74],"problem":[75,187],"exact":[77],"security":[78,167,197,229,259],"PMAC.":[80],"also":[84],"showed":[85],"that":[86,139,164,205,251],"dependency":[88],"l":[90,99,146,262,267],"can":[91],"be":[92,190],"dropped":[93],"(i.e.":[94],"O(q2/2n)":[95,208,260],"bound":[96,142,209,275],"up":[97],"to":[98,175,194,218],"\u2264":[100,147,263],"2n/2)":[101],"for":[102,199,210],"simplified":[104],"version":[105],"PMAC,":[107],"called":[108],"sPMAC,":[109],"by":[110],"replacing":[111],"Gray":[113],"code-based":[114],"masking":[115],"any":[119],"4-wise":[120,223],"independent":[121],"universal":[122],"hash-based":[123],"masking.":[124],"Recently,":[125],"Naito":[126],"proposed":[127],"another":[128],"variant":[129,163,234],"two":[133],"powering-up":[134],"maskings":[135],"(Naito,":[136],"2019(2))":[138],"achieves":[140,207],"l-free":[141,196],"O(q2/2n),":[144],"provided":[145,261],"2n/2.":[148],"In":[149],"this":[150,200,252],"work,":[151],"we":[152,203,226,270],"first":[153],"identify":[154],"flaw":[156,171],"analysis":[159],"Naito\u2019s":[161],"invalidates":[165],"proof.":[168],"Apparently,":[169],"is":[172,286],"not":[173],"easy":[174],"fix":[176],"under":[177],"existing":[179],"proof":[180],"setup.":[181],"We":[182,249],"then":[183],"formulate":[184],"an":[185],"equivalent":[186],"which":[188],"must":[189],"solved":[191],"order":[193],"achieve":[195,272],"variant.":[201],"Second,":[202],"show":[204,250],"sPMAC":[206],"weaker":[212],"notion":[213],"universality":[215],"as":[216,276,278],"compared":[217],"earlier":[220],"condition":[221],"independence.":[224],"Third,":[225],"analyze":[227],"PMAC1":[231,256],"(a":[232],"popular":[233],"PMAC)":[236],"simple":[239,253],"modification":[240,254],"linear":[243],"cipher":[247],"outputs.":[248],"has":[257],"tight":[258,274],"2n/4.":[264],"Even":[265],"if":[266],"<":[268],"2n/4,":[269],"still":[271],"same":[273],"long":[277],"total":[279],"blocks":[282],"all":[284],"queries":[285],"less":[287],"than":[288],"22n/3.":[289]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}