{"id":"https://openalex.org/W2951225269","doi":"https://doi.org/10.3934/amc.2019042","title":"<inline-formula><tex-math id=\"M1\">$\\textsf{DWCDM+}$</tex-math></inline-formula>: A BBB secure nonce based MAC","display_name":"<inline-formula><tex-math id=\"M1\">$\\textsf{DWCDM+}$</tex-math></inline-formula>: A BBB secure nonce based MAC","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2951225269","doi":"https://doi.org/10.3934/amc.2019042","mag":"2951225269"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2019042","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2019042","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=2f198dbd-dd5d-48ec-85f5-b3cf9aefed41","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=2f198dbd-dd5d-48ec-85f5-b3cf9aefed41","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064765950","display_name":"Nilanjan Datta","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nilanjan Datta","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101923819","display_name":"Avijit Dutta","orcid":"https://orcid.org/0000-0003-2672-7331"},"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":"Avijit Dutta","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/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"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065907478","display_name":"Kan Yasuda","orcid":null},"institutions":[{"id":"https://openalex.org/I2251713219","display_name":"NTT (Japan)","ror":"https://ror.org/00berct97","country_code":"JP","type":"company","lineage":["https://openalex.org/I2251713219"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kan Yasuda","raw_affiliation_strings":["NTT Secure Platform Laboratories, NTT Corporation, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NTT Secure Platform Laboratories, NTT Corporation, Japan","institution_ids":["https://openalex.org/I2251713219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4338,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7129982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"4","first_page":"705","last_page":"732"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9986000061035156,"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/cryptographic-nonce","display_name":"Cryptographic nonce","score":0.7608017921447754},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.6379780173301697},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.634840726852417},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6023827791213989},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5782339572906494},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.49909043312072754},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41707509756088257},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.387284517288208},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.2947118878364563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2362625002861023},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.21965938806533813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12876275181770325}],"concepts":[{"id":"https://openalex.org/C9996903","wikidata":"https://www.wikidata.org/wiki/Q1749235","display_name":"Cryptographic nonce","level":3,"score":0.7608017921447754},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.6379780173301697},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.634840726852417},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6023827791213989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5782339572906494},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.49909043312072754},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41707509756088257},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.387284517288208},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.2947118878364563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2362625002861023},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.21965938806533813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12876275181770325},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2019042","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2019042","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=2f198dbd-dd5d-48ec-85f5-b3cf9aefed41","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2019042","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2019042","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=2f198dbd-dd5d-48ec-85f5-b3cf9aefed41","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W114757832","https://openalex.org/W118432913","https://openalex.org/W200355028","https://openalex.org/W1498886746","https://openalex.org/W1506429688","https://openalex.org/W1508377147","https://openalex.org/W1523854767","https://openalex.org/W1528253743","https://openalex.org/W1535554763","https://openalex.org/W2109450547","https://openalex.org/W2125218823","https://openalex.org/W2134553300","https://openalex.org/W2166669874","https://openalex.org/W2490548159","https://openalex.org/W2615109279","https://openalex.org/W2729427879","https://openalex.org/W2733461682","https://openalex.org/W2769216713","https://openalex.org/W2790044991","https://openalex.org/W2809690130","https://openalex.org/W4233485533","https://openalex.org/W4234406198","https://openalex.org/W4236258455","https://openalex.org/W4241158894"],"related_works":["https://openalex.org/W4386794377","https://openalex.org/W2954455763","https://openalex.org/W2967369616","https://openalex.org/W2353810166","https://openalex.org/W1877660496","https://openalex.org/W2371127504","https://openalex.org/W4253338219","https://openalex.org/W2955290832","https://openalex.org/W2967757647","https://openalex.org/W2766321958"],"abstract_inverted_index":{"In":[0,68],"CRYPTO":[1],"2016,":[2],"Cogliati":[3],"and":[4,23,40,97,146,217],"Seurin":[5],"have":[6],"proposed":[7],"a":[8,37,41,56,81,155,177],"nonce-based":[9],"MAC":[10,48,89,212,215],"called":[11],"Encrypted":[12],"Wegman-Carter":[13,74],"with":[14,75],"Davies-Meyer":[15,76],"($\\textsf{EWCDM}$),":[16],"from":[17,91,142],"an":[18,24,64,92,98],"$n$-bit":[19,25,93,99],"block":[20,58,83,94,138,173],"cipher":[21,59,84,95,139,174],"$\\textsf{E}$":[22,96],"almost":[26,105],"xor":[27,106],"universal":[28,107],"hash":[29,108,168,187],"function$\\textsf{H}$":[30],"as":[31,63,111,171,183,185],"\\begin{document}$\\textsf{E}_{K_2}\\bigl(\\textsf{E}_{K_1}(N)\\oplus":[32],"N\\oplus":[33],"\\textsf{H}_{K_h}(M)\\bigr),$":[34],"\\end{document}":[35,119],"for":[36],"nonce":[38,198,222],"$N$":[39],"message":[42],"$M$":[43],"that":[44,86,130,133,195],"provides":[45,87],"roughly":[46,208],"$2n/3$-bit":[47,88],"security.":[49],"However,":[50],"obtaining":[51],"the":[52,131,135,148,160,167,172,186,197],"similar":[53,124],"security":[54,90],"using":[55],"single":[57,82],"key":[60,85,169,188],"was":[61],"posed":[62],"open":[65],"research":[66],"problem.":[67],"this":[69],"paper,":[70],"we":[71,165],"present":[72],"Decrypted":[73],"($\\textsf{DWCDM+}$)":[77],"construction":[78,161],"based":[79],"on":[80],"$k$-regular":[100],"($\\forall":[101],"k":[102],"\\leq":[103],"n$),":[104],"function":[109],"$\\textsf{H}$":[110],"\\begin{document}":[112],"$":[113,118],"\\textsf{E}^{-1}_{K}\\bigl(\\textsf{E}_{K}(N)\\oplus":[114],"N":[115],"\\oplus":[116],"\\textsf{H}_{K_h}(M)\\bigr).":[117],"$\\textsf{DWCDM+}$":[120,205],"is":[121,152,189,200,206],"structurally":[122],"very":[123],"to":[125,144,202,210],"its":[126],"predecessor":[127],"$\\textsf{EWCDM}$":[128],"except":[129],"facts":[132],"(i)":[134],"number":[136],"of":[137,176,190],"keys":[140],"reduced":[141],"$2$":[143],"$1$":[145],"(\u2171)":[147],"outer":[149],"encryption":[150],"call":[151],"replaced":[153],"by":[154],"decryption":[156],"one.":[157],"To":[158],"make":[159],"truely":[162],"single-keyed,":[163],"here":[164],"derive":[166],"$K_h$":[170],"output":[175],"fixed":[178],"string":[179],"$0^{n-2}":[180],"\\|":[181],"10$":[182],"long":[184],"$n$":[191],"bits.":[192],"We":[193],"show":[194],"if":[196],"space":[199],"restricted":[201],"$(n-1)$":[203],"bits,":[204],"secured":[207],"up":[209],"$2^{2n/3}$":[211],"queries":[213,220],"($2^{n/2}$":[214],"queries)":[216],"$2^n$":[218],"verification":[219],"against":[221],"respecting":[223],"(nonce":[224],"misuse":[225],"resp.)":[226],"adversaries.":[227]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}