{"id":"https://openalex.org/W4411467306","doi":"https://doi.org/10.1142/s0129065725500492","title":"Matrix Representation of Virus Machines and an Application to the Discrete Logarithm Problem","display_name":"Matrix Representation of Virus Machines and an Application to the Discrete Logarithm Problem","publication_year":2025,"publication_date":"2025-06-20","ids":{"openalex":"https://openalex.org/W4411467306","doi":"https://doi.org/10.1142/s0129065725500492","pmid":"https://pubmed.ncbi.nlm.nih.gov/40827563"},"language":"en","primary_location":{"id":"doi:10.1142/s0129065725500492","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065725500492","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Neural Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015117131","display_name":"Antonio Ram\u00edrez-de-Arellano","orcid":"https://orcid.org/0000-0002-4666-2494"},"institutions":[{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]},{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES","US"],"is_corresponding":false,"raw_author_name":"Antonio Ram\u00edrez-de-Arellano","raw_affiliation_strings":["Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, Universidad de Sevilla 41012, Seville, Spain","Research Institute for Artificial Intelligence Mihai Dr\u0103g\u0103nescu, Calea 13 Septembrie 050711, Bucharest, Romania"],"raw_orcid":"https://orcid.org/0000-0002-4666-2494","affiliations":[{"raw_affiliation_string":"Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, Universidad de Sevilla 41012, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Research Institute for Artificial Intelligence Mihai Dr\u0103g\u0103nescu, Calea 13 Septembrie 050711, Bucharest, Romania","institution_ids":["https://openalex.org/I4210153325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059695510","display_name":"David Orellana-Mart\u00edn","orcid":"https://orcid.org/0000-0002-2892-6775"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"David Orellana-Mart\u00edn","raw_affiliation_strings":["Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, Universidad de Sevilla 41012, Seville, Spain","SCORE Laboratory, I3US, Universidad de Sevilla 41012, Seville, Spain"],"raw_orcid":"https://orcid.org/0000-0002-2892-6775","affiliations":[{"raw_affiliation_string":"Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, Universidad de Sevilla 41012, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"SCORE Laboratory, I3US, Universidad de Sevilla 41012, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075139255","display_name":"Mario J. P\u00e9rez-J\u00edmenez","orcid":"https://orcid.org/0000-0002-5055-0102"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mario J. P\u00e9rez-Jim\u00e9nez","raw_affiliation_strings":["Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, Universidad de Sevilla 41012, Seville, Spain","SCORE Laboratory, I3US, Universidad de Sevilla 41012, Seville, Spain"],"raw_orcid":"https://orcid.org/0000-0002-5055-0102","affiliations":[{"raw_affiliation_string":"Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, Universidad de Sevilla 41012, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"SCORE Laboratory, I3US, Universidad de Sevilla 41012, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049712662","display_name":"Francis George C. Cabarle","orcid":"https://orcid.org/0000-0002-5006-6310"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]},{"id":"https://openalex.org/I87074743","display_name":"University of the Philippines Diliman","ror":"https://ror.org/03tbh6y23","country_code":"PH","type":"education","lineage":["https://openalex.org/I103911934","https://openalex.org/I87074743"]}],"countries":["ES","PH"],"is_corresponding":false,"raw_author_name":"Francis George C. Cabarle","raw_affiliation_strings":["Department of Computer Science, University of the Philippines Diliman, Quezon City, 1101, Philippines","Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, Universidad de Sevilla 41012, Seville, Spain","SCORE Laboratory, I3US, Universidad de Sevilla 41012, Seville, Spain"],"raw_orcid":"https://orcid.org/0000-0002-5006-6310","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of the Philippines Diliman, Quezon City, 1101, Philippines","institution_ids":["https://openalex.org/I87074743"]},{"raw_affiliation_string":"Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, Universidad de Sevilla 41012, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"SCORE Laboratory, I3US, Universidad de Sevilla 41012, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037086358","display_name":"Henry N. Adorna","orcid":"https://orcid.org/0000-0001-5513-4039"},"institutions":[{"id":"https://openalex.org/I87074743","display_name":"University of the Philippines Diliman","ror":"https://ror.org/03tbh6y23","country_code":"PH","type":"education","lineage":["https://openalex.org/I103911934","https://openalex.org/I87074743"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"Henry N. Adorna","raw_affiliation_strings":["Department of Computer Science, University of the Philippines Diliman, Quezon City, 1101, Philippines"],"raw_orcid":"https://orcid.org/0000-0001-5513-4039","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of the Philippines Diliman, Quezon City, 1101, Philippines","institution_ids":["https://openalex.org/I87074743"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.064,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.76314859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"35","issue":"11","first_page":"2550049","last_page":"2550049"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11241","display_name":"Advanced Malware Detection Techniques","score":0.975600004196167,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11241","display_name":"Advanced Malware Detection Techniques","score":0.975600004196167,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9718999862670898,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12391","display_name":"Artificial Immune Systems Applications","score":0.9519000053405762,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.6026132106781006},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5893545150756836},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.555902361869812},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5523916482925415},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.4747213125228882},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46788495779037476},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4413120448589325},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4391842484474182},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38038328289985657},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3399924039840698},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24776411056518555},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.17530149221420288},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09725490212440491},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08864906430244446}],"concepts":[{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.6026132106781006},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5893545150756836},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.555902361869812},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5523916482925415},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.4747213125228882},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46788495779037476},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4413120448589325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4391842484474182},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38038328289985657},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3399924039840698},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24776411056518555},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.17530149221420288},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09725490212440491},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08864906430244446},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014780","descriptor_name":"Viruses","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D014780","descriptor_name":"Viruses","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129065725500492","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065725500492","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Neural Systems","raw_type":"journal-article"},{"id":"pmid:40827563","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40827563","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International journal of neural systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G7693392618","display_name":"Virus Machines and Artificial Intelligence","funder_award_id":"101206770","funder_id":"https://openalex.org/F4320338438","funder_display_name":"HORIZON EUROPE Marie Sklodowska-Curie Actions"}],"funders":[{"id":"https://openalex.org/F4320338438","display_name":"HORIZON EUROPE Marie Sklodowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1605916948","https://openalex.org/W2088502592","https://openalex.org/W2106287110","https://openalex.org/W2113542408","https://openalex.org/W2204916009","https://openalex.org/W2909401969","https://openalex.org/W2969654366","https://openalex.org/W3023478445","https://openalex.org/W3089018833","https://openalex.org/W3154894917","https://openalex.org/W3159063292","https://openalex.org/W4214791206","https://openalex.org/W4283725017","https://openalex.org/W4292413754","https://openalex.org/W4296041395","https://openalex.org/W4321791202","https://openalex.org/W4367549986","https://openalex.org/W4384938235","https://openalex.org/W4389506981","https://openalex.org/W4393073158","https://openalex.org/W4393088637","https://openalex.org/W4393977200","https://openalex.org/W4399186873","https://openalex.org/W4400081933","https://openalex.org/W4402129990","https://openalex.org/W4406981267"],"related_works":["https://openalex.org/W1555245969","https://openalex.org/W2321282558","https://openalex.org/W2299507895","https://openalex.org/W1900540279","https://openalex.org/W4300200155","https://openalex.org/W4300498183","https://openalex.org/W2012392278","https://openalex.org/W2656095712","https://openalex.org/W1833714557","https://openalex.org/W2577600644"],"abstract_inverted_index":{"Virus":[0],"machines,":[1],"which":[2,131],"develop":[3],"models":[4],"of":[5,14,51,55,64,82,102,137],"computation":[6,115],"inspired":[7],"by":[8,85],"biological":[9],"processes":[10],"and":[11,35,66,77,116],"the":[12,20,52,62,67,80,100,114,119,128,134,140],"spread":[13],"viruses":[15,65],"among":[16],"hosts,":[17,61],"deviate":[18],"from":[19],"traditional":[21],"methods.":[22],"These":[23],"virus":[24,56,71,83,124],"machines":[25,84],"are":[26,73],"recognized":[27],"for":[28],"their":[29,36],"computational":[30],"power":[31],"(functioning":[32],"as":[33,75],"algorithms)":[34],"ability":[37],"to":[38,69,95,112],"tackle":[39],"computationally":[40],"difficult":[41],"problems.":[42],"In":[43,58,105],"this":[44,59],"paper,":[45],"we":[46],"introduce":[47],"a":[48,123],"new":[49],"extension":[50],"matrix-based":[53],"representation":[54,94],"machines.":[57,104],"way,":[60],"number":[63],"instructions":[68],"control":[70],"transmission":[72],"represented":[74],"vectors":[76],"matrices,":[78],"describing":[79],"computations":[81],"linear":[86],"algebra":[87],"operations.":[88],"We":[89],"also":[90],"use":[91],"our":[92],"matrix":[93],"show":[96],"invariants,":[97],"useful":[98],"in":[99],"proofs,":[101],"such":[103,139],"addition,":[106],"an":[107],"explicit":[108],"example":[109],"is":[110],"shown":[111],"clarify":[113],"invariants":[117],"using":[118],"representation.":[120],"That":[121],"is,":[122],"machine":[125],"that":[126],"computes":[127],"discrete":[129],"logarithm,":[130],"relies":[132],"on":[133],"presumed":[135],"intractability":[136],"cryptosystems":[138],"digital":[141],"signature":[142],"algorithm.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
