{"id":"https://openalex.org/W4224236813","doi":"https://doi.org/10.1142/s179383092250094x","title":"Linear recurrent cryptography: Golden-like cryptography for higher order linear recurrences","display_name":"Linear recurrent cryptography: Golden-like cryptography for higher order linear recurrences","publication_year":2022,"publication_date":"2022-04-19","ids":{"openalex":"https://openalex.org/W4224236813","doi":"https://doi.org/10.1142/s179383092250094x"},"language":"en","primary_location":{"id":"doi:10.1142/s179383092250094x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092250094x","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2206.11411","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024827981","display_name":"Sergiy Koshkin","orcid":null},"institutions":[{"id":"https://openalex.org/I16277215","display_name":"University of Houston - Downtown","ror":"https://ror.org/05mj6fy81","country_code":"US","type":"education","lineage":["https://openalex.org/I16277215"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sergiy Koshkin","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Houston-Downtown, One Main Street, Houston, TX 77002, USA"],"raw_orcid":"https://orcid.org/0000-0001-8264-3701","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Houston-Downtown, One Main Street, Houston, TX 77002, USA","institution_ids":["https://openalex.org/I16277215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108667763","display_name":"Daniel Rodr\u00edguez Rodr\u00edguez","orcid":"https://orcid.org/0000-0002-8177-5494"},"institutions":[{"id":"https://openalex.org/I16277215","display_name":"University of Houston - Downtown","ror":"https://ror.org/05mj6fy81","country_code":"US","type":"education","lineage":["https://openalex.org/I16277215"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Rodriguez","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Houston-Downtown, One Main Street, Houston, TX 77002, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Houston-Downtown, One Main Street, Houston, TX 77002, USA","institution_ids":["https://openalex.org/I16277215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024827981"],"corresponding_institution_ids":["https://openalex.org/I16277215"],"apc_list":null,"apc_paid":null,"fwci":0.1252,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.398392,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9904000163078308,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9900000095367432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.7368612885475159},{"id":"https://openalex.org/keywords/neural-cryptography","display_name":"Neural cryptography","score":0.6937052011489868},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4853934049606323},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4497688114643097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4180012047290802},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3943560719490051},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2604221701622009},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.24162182211875916},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.23902568221092224},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.19768893718719482},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.06114894151687622}],"concepts":[{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.7368612885475159},{"id":"https://openalex.org/C126954023","wikidata":"https://www.wikidata.org/wiki/Q4316440","display_name":"Neural cryptography","level":4,"score":0.6937052011489868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4853934049606323},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4497688114643097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4180012047290802},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3943560719490051},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2604221701622009},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.24162182211875916},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.23902568221092224},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.19768893718719482},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.06114894151687622},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s179383092250094x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092250094x","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2206.11411","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.11411","pdf_url":"https://arxiv.org/pdf/2206.11411","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2206.11411","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.11411","pdf_url":"https://arxiv.org/pdf/2206.11411","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"},{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1503793923","https://openalex.org/W1553566806","https://openalex.org/W2003164853","https://openalex.org/W2019073482","https://openalex.org/W2040049709","https://openalex.org/W2052550900","https://openalex.org/W2067300245","https://openalex.org/W2079415843","https://openalex.org/W2083494715","https://openalex.org/W2088876713","https://openalex.org/W2097197200","https://openalex.org/W2110933362","https://openalex.org/W2153030835","https://openalex.org/W2325811373","https://openalex.org/W2765093445","https://openalex.org/W2974227672","https://openalex.org/W3035235874","https://openalex.org/W3089165645","https://openalex.org/W3090503505","https://openalex.org/W3109789740","https://openalex.org/W4246210844","https://openalex.org/W4293529804"],"related_works":["https://openalex.org/W2155942762","https://openalex.org/W2528415955","https://openalex.org/W2189400933","https://openalex.org/W2188587181","https://openalex.org/W2565952052","https://openalex.org/W3197555326","https://openalex.org/W2548040793","https://openalex.org/W1506702996","https://openalex.org/W2094483166","https://openalex.org/W2393841853"],"abstract_inverted_index":{"We":[0],"develop":[1],"matrix":[2],"cryptography":[3,38],"based":[4,50],"on":[5,51],"linear":[6],"recurrent":[7],"sequences":[8],"of":[9,29,36,44,67,88],"any":[10],"order":[11],"that":[12,64,102],"allows":[13],"securing":[14],"encryption":[15],"against":[16],"brute":[17],"force":[18],"and":[19,33],"chosen":[20],"plaintext":[21],"attacks.":[22],"In":[23],"particular,":[24],"we":[25,96],"solve":[26],"the":[27,53,59,62,65,68,72,85,89],"problem":[28],"generalizing":[30],"error":[31],"detection":[32],"correction":[34],"algorithms":[35,77,98],"golden":[37,69],"previously":[39],"known":[40],"only":[41],"for":[42,99],"recurrences":[43,101],"a":[45,92],"special":[46],"form.":[47],"They":[48],"are":[49,78],"proving":[52],"checking":[54],"relations":[55],"(inequalities":[56],"satisfied":[57],"by":[58],"ciphertext)":[60],"under":[61],"condition":[63],"analog":[66],"Q-matrix":[70],"has":[71],"strong":[73],"Perron\u2013Frobenius":[74],"property.":[75],"These":[76],"proved":[79],"to":[80],"be":[81],"especially":[82],"efficient":[83],"when":[84],"characteristic":[86],"polynomial":[87],"recurrence":[90],"is":[91],"Pisot":[93],"polynomial.":[94],"Finally,":[95],"outline":[97],"generating":[100],"satisfy":[103],"our":[104],"conditions.":[105]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-04-26T00:00:00"}
