{"id":"https://openalex.org/W4405425791","doi":"https://doi.org/10.3390/cryptography8040056","title":"A Matrix Multiplication Approach to Quantum-Safe Cryptographic Systems","display_name":"A Matrix Multiplication Approach to Quantum-Safe Cryptographic Systems","publication_year":2024,"publication_date":"2024-12-15","ids":{"openalex":"https://openalex.org/W4405425791","doi":"https://doi.org/10.3390/cryptography8040056"},"language":"en","primary_location":{"id":"doi:10.3390/cryptography8040056","is_oa":true,"landing_page_url":"https://doi.org/10.3390/cryptography8040056","pdf_url":"https://www.mdpi.com/2410-387X/8/4/56/pdf?version=1734421234","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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2410-387X/8/4/56/pdf?version=1734421234","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076974112","display_name":"Luis Adri\u00e1n Lizama-P\u00e9rez","orcid":"https://orcid.org/0000-0001-5109-2927"},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Luis Adri\u00e1n Lizama-P\u00e9rez","raw_affiliation_strings":["Departamento de Electr\u00f3nica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Av. Vicu\u00f1a Mackenna 3939, San Joaqu\u00edn, Santiago 8940897, Chile"],"raw_orcid":"https://orcid.org/0000-0001-5109-2927","affiliations":[{"raw_affiliation_string":"Departamento de Electr\u00f3nica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Av. Vicu\u00f1a Mackenna 3939, San Joaqu\u00edn, Santiago 8940897, Chile","institution_ids":["https://openalex.org/I75778554"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076974112"],"corresponding_institution_ids":["https://openalex.org/I75778554"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1732},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1732},"fwci":0.6623,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76790872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"8","issue":"4","first_page":"56","last_page":"56"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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":0.9894999861717224,"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":0.9824000000953674,"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/multiplication","display_name":"Multiplication (music)","score":0.5229623913764954},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5085943937301636},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.49313634634017944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4825979471206665},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3757675290107727},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3422981798648834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2896677255630493},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2386089265346527},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17606094479560852},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13144418597221375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09455814957618713}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5229623913764954},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5085943937301636},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.49313634634017944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4825979471206665},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3757675290107727},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3422981798648834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2896677255630493},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2386089265346527},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17606094479560852},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13144418597221375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09455814957618713}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/cryptography8040056","is_oa":true,"landing_page_url":"https://doi.org/10.3390/cryptography8040056","pdf_url":"https://www.mdpi.com/2410-387X/8/4/56/pdf?version=1734421234","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:doaj.org/article:a844b2e7e10048d8ba72fd79e49f2a5b","is_oa":true,"landing_page_url":"https://doaj.org/article/a844b2e7e10048d8ba72fd79e49f2a5b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cryptography, Vol 8, Iss 4, p 56 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/cryptography8040056","is_oa":true,"landing_page_url":"https://doi.org/10.3390/cryptography8040056","pdf_url":"https://www.mdpi.com/2410-387X/8/4/56/pdf?version=1734421234","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":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405425791.pdf","grobid_xml":"https://content.openalex.org/works/W4405425791.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W23973724","https://openalex.org/W1513904472","https://openalex.org/W1536729852","https://openalex.org/W1561608220","https://openalex.org/W1568587963","https://openalex.org/W1675339804","https://openalex.org/W1882598960","https://openalex.org/W1976904648","https://openalex.org/W2000446172","https://openalex.org/W2007466965","https://openalex.org/W2036378739","https://openalex.org/W2084652510","https://openalex.org/W2108834246","https://openalex.org/W2117859227","https://openalex.org/W2142048307","https://openalex.org/W2156186849","https://openalex.org/W2168676717","https://openalex.org/W2172273481","https://openalex.org/W2950825840","https://openalex.org/W2963181904","https://openalex.org/W3046238090","https://openalex.org/W3212142976","https://openalex.org/W4221074284","https://openalex.org/W4255528638","https://openalex.org/W4297991408","https://openalex.org/W4365934498","https://openalex.org/W4385819544","https://openalex.org/W4390098349","https://openalex.org/W4390575692","https://openalex.org/W4394711956","https://openalex.org/W4406582038","https://openalex.org/W6639253289","https://openalex.org/W6651121328","https://openalex.org/W6683718830","https://openalex.org/W6712624421","https://openalex.org/W6741077887","https://openalex.org/W6777983010","https://openalex.org/W6779055642","https://openalex.org/W6797158879"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W2057797376","https://openalex.org/W2090319426","https://openalex.org/W752783541","https://openalex.org/W2506252583","https://openalex.org/W1506547947","https://openalex.org/W2048249848","https://openalex.org/W2995605830","https://openalex.org/W4206811032"],"abstract_inverted_index":{"This":[0,52],"paper":[1],"introduces":[2],"a":[3,71,75,96],"novel":[4],"approach":[5,40,108,117],"based":[6],"on":[7,33],"matrix":[8,42],"multiplication":[9],"in":[10,121],"Fpn\u00d7n,":[11],"which":[12],"enables":[13],"methods":[14],"for":[15],"public":[16,65,81],"key":[17,66,104],"exchange,":[18],"user":[19,62],"authentication,":[20],"digital":[21,87],"signatures,":[22],"blockchain":[23,97],"integration,":[24],"and":[25,60,125],"homomorphic":[26,114],"encryption.":[27,115],"Unlike":[28],"traditional":[29],"algorithms":[30],"that":[31,73],"rely":[32],"integer":[34],"factorization":[35],"or":[36],"discrete":[37],"logarithms,":[38],"our":[39],"utilizes":[41],"factorization,":[43],"rendering":[44],"it":[45],"resistant":[46],"to":[47,78,99,112],"current":[48],"quantum":[49],"cryptanalysis":[50],"techniques.":[51],"method":[53,72],"enhances":[54],"confidentiality":[55],"by":[56],"ensuring":[57],"secure":[58],"communication":[59],"facilitating":[61],"authentication":[63],"through":[64],"validation.":[67],"We":[68],"have":[69],"incorporated":[70],"allows":[74],"Certification":[76],"Authority":[77],"certify":[79],"the":[80,84,92],"keys.":[82],"Furthermore,":[83],"incorporation":[85],"of":[86,106],"signatures":[88],"ensures":[89],"nonrepudiation,":[90],"while":[91],"system":[93],"functions":[94],"as":[95],"technology":[98],"enhance":[100],"transaction":[101],"security.":[102],"A":[103],"innovation":[105],"this":[107],"is":[109],"its":[110],"capability":[111],"perform":[113],"Our":[116],"has":[118],"practical":[119],"applications":[120],"artificial":[122],"intelligence,":[123],"robotics,":[124],"image":[126],"processing.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-12T06:13:28.667946","created_date":"2025-10-10T00:00:00"}
