{"id":"https://openalex.org/W7125844080","doi":"https://doi.org/10.48550/arxiv.2601.18413","title":"Fundamentals, Recent Advances, and Challenges Regarding Cryptographic Algorithms for the Quantum Computing Era","display_name":"Fundamentals, Recent Advances, and Challenges Regarding Cryptographic Algorithms for the Quantum Computing Era","publication_year":2026,"publication_date":"2026-01-26","ids":{"openalex":"https://openalex.org/W7125844080","doi":"https://doi.org/10.48550/arxiv.2601.18413"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2601.18413","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.18413","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":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2601.18413","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028444000","display_name":"Darlan Noetzold","orcid":"https://orcid.org/0009-0008-9126-8075"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Noetzold, Darlan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5038022273","display_name":"Valderi Reis Quietinho Leithardt","orcid":"https://orcid.org/0000-0003-0446-9271"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leithardt, Valderi Reis Quietinho","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.2865000069141388,"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/T10237","display_name":"Cryptography and Data Security","score":0.2865000069141388,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.11420000344514847,"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":0.09749999642372131,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/standardization","display_name":"Standardization","score":0.7017999887466431},{"id":"https://openalex.org/keywords/nist","display_name":"NIST","score":0.6366999745368958},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6040999889373779},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.5346999764442444},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.510699987411499},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.44440001249313354},{"id":"https://openalex.org/keywords/quantum-cryptography","display_name":"Quantum cryptography","score":0.39660000801086426}],"concepts":[{"id":"https://openalex.org/C188087704","wikidata":"https://www.wikidata.org/wiki/Q369577","display_name":"Standardization","level":2,"score":0.7017999887466431},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6679999828338623},{"id":"https://openalex.org/C111219384","wikidata":"https://www.wikidata.org/wiki/Q6954384","display_name":"NIST","level":2,"score":0.6366999745368958},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6040999889373779},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5346999764442444},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.510699987411499},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.44440001249313354},{"id":"https://openalex.org/C144901912","wikidata":"https://www.wikidata.org/wiki/Q471906","display_name":"Quantum cryptography","level":4,"score":0.39660000801086426},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.38940000534057617},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.37610000371932983},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3716000020503998},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.34279999136924744},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33079999685287476},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.32519999146461487},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31700000166893005},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.2768000066280365},{"id":"https://openalex.org/C165511393","wikidata":"https://www.wikidata.org/wiki/Q7252276","display_name":"Security of cryptographic hash functions","level":5,"score":0.27649998664855957},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.2630000114440918},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.25850000977516174}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2601.18413","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.18413","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":"doi:10.48550/arxiv.2601.18413","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.18413","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":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.635395884513855,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"book":[1],"arises":[2],"from":[3],"the":[4,14,37,45,85,102,116,121,130,173,176,181,201,215],"need":[5,80],"to":[6,24,69,81,106,135,145],"provide":[7,25],"a":[8,26,72],"clear":[9],"and":[10,33,42,53,59,77,96,109,118,148,184,190,206],"up-to-date":[11],"overview":[12],"of":[13,16,39,123,161,175,203],"impacts":[15],"quantum":[17,124,146],"computing":[18],"on":[19,144,153,159,165],"cryptography.":[20,43],"The":[21,65],"goal":[22],"is":[23,68,105],"reference":[27],"in":[28,36,93,120,178,200],"Portuguese":[29],"for":[30,74,214],"undergraduate,":[31],"master's,":[32],"doctoral":[34],"students":[35],"field":[38],"data":[40],"security":[41,94],"Throughout":[44],"chapters,":[46],"we":[47,50,138],"present":[48,107,156],"fundamentals,":[49],"discuss":[51,186],"classical":[52],"post-quantum":[54,162,216],"algorithms,":[55],"evaluate":[56],"emerging":[57],"patterns,":[58],"point":[60],"out":[61],"real-world":[62],"implementation":[63],"challenges.":[64],"initial":[66],"objective":[67,104],"serve":[70],"as":[71],"guide":[73],"students,":[75],"researchers,":[76],"professionals":[78],"who":[79],"understand":[82],"not":[83],"only":[84],"mathematics":[86],"involved,":[87],"but":[88],"also":[89],"its":[90],"practical":[91],"implications":[92],"systems":[95],"policies.":[97],"For":[98],"more":[99],"advanced":[100],"professionals,":[101],"main":[103],"content":[108],"ideas":[110],"so":[111],"that":[112,128,195],"they":[113],"can":[114],"assess":[115],"changes":[117],"perspectives":[119],"era":[122],"cryptographic":[125,191],"algorithms.":[126],"To":[127],"end,":[129],"text's":[131],"structure":[132],"was":[133],"designed":[134],"be":[136],"progressive:":[137],"begin":[139],"with":[140],"essential":[141],"concepts,":[142],"move":[143],"algorithms":[147],"their":[149],"consequences":[150],"(with":[151],"emphasis":[152],"Shor's":[154],"algorithm),":[155],"issues":[157],"focusing":[158],"\"families\"":[160],"schemes":[163],"(based":[164],"lattices,":[166],"codes,":[167],"hash":[168],"functions,":[169],"multivariate,":[170],"isogenies),":[171],"analyze":[172],"state":[174],"art":[177],"standardization":[179],"(highlighting":[180],"NIST":[182],"process),":[183],"finally,":[185],"migration,":[187],"interoperability,":[188],"performance,":[189],"governance.":[192],"We":[193],"hope":[194],"this":[196],"work":[197],"will":[198],"assist":[199],"formation":[202],"critical":[204],"thinking":[205],"informed":[207],"technical":[208],"decision-making,":[209],"fostering":[210],"secure":[211],"transition":[212],"strategies":[213],"era.":[217]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-01-28T00:00:00"}
