{"id":"https://openalex.org/W2006263612","doi":"https://doi.org/10.15439/2014f269","title":"On multivariate cryptosystems based on maps with logarithmically invertible decomposition corresponding to walk on graph","display_name":"On multivariate cryptosystems based on maps with logarithmically invertible decomposition corresponding to walk on graph","publication_year":2014,"publication_date":"2014-09-29","ids":{"openalex":"https://openalex.org/W2006263612","doi":"https://doi.org/10.15439/2014f269","mag":"2006263612"},"language":"en","primary_location":{"id":"doi:10.15439/2014f269","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2014f269","pdf_url":"https://annals-csis.org/proceedings/2014/pliks/269.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://annals-csis.org/proceedings/2014/pliks/269.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062430200","display_name":"Vasyl Ustimenko","orcid":"https://orcid.org/0000-0002-2138-2357"},"institutions":[{"id":"https://openalex.org/I174183983","display_name":"Maria Curie-Sk\u0142odowska University","ror":"https://ror.org/015h0qg34","country_code":"PL","type":"education","lineage":["https://openalex.org/I174183983"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Vasyl Ustimenko","raw_affiliation_strings":["Maria Curie-Skodowska University, Institute of Mathematics, pl. M. Curie-Skodowskiej 1, 20-031 Lublin, Poland","Maria Curie-Sklodowska University in Lublin, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Maria Curie-Skodowska University, Institute of Mathematics, pl. M. Curie-Skodowskiej 1, 20-031 Lublin, Poland","institution_ids":["https://openalex.org/I174183983"]},{"raw_affiliation_string":"Maria Curie-Sklodowska University in Lublin, Poland","institution_ids":["https://openalex.org/I174183983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062430200"],"corresponding_institution_ids":["https://openalex.org/I174183983"],"apc_list":null,"apc_paid":null,"fwci":0.2567,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50776965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"631","last_page":"637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9966999888420105,"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/cryptosystem","display_name":"Cryptosystem","score":0.8283612728118896},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.8070394992828369},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.6979900002479553},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5082582831382751},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48303326964378357},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.47891533374786377},{"id":"https://openalex.org/keywords/stream-cipher","display_name":"Stream cipher","score":0.4359458386898041},{"id":"https://openalex.org/keywords/s-box","display_name":"S-box","score":0.4350762665271759},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.42952191829681396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4272032380104065},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4060889184474945},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32777589559555054},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3247454762458801},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32417941093444824},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.24632790684700012},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.1930856704711914},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.12227368354797363},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08250144124031067},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07438677549362183}],"concepts":[{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.8283612728118896},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.8070394992828369},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.6979900002479553},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5082582831382751},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48303326964378357},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.47891533374786377},{"id":"https://openalex.org/C92950451","wikidata":"https://www.wikidata.org/wiki/Q864718","display_name":"Stream cipher","level":3,"score":0.4359458386898041},{"id":"https://openalex.org/C45737032","wikidata":"https://www.wikidata.org/wiki/Q748364","display_name":"S-box","level":4,"score":0.4350762665271759},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.42952191829681396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4272032380104065},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4060889184474945},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32777589559555054},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3247454762458801},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32417941093444824},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.24632790684700012},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.1930856704711914},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.12227368354797363},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08250144124031067},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07438677549362183},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.15439/2014f269","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2014f269","pdf_url":"https://annals-csis.org/proceedings/2014/pliks/269.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:doaj.org/article:dd07543a760143cb921d2465647d28f6","is_oa":false,"landing_page_url":"https://doaj.org/article/dd07543a760143cb921d2465647d28f6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of computer science and information systems, Vol 2, Pp 631-637 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.15439/2014f269","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2014f269","pdf_url":"https://annals-csis.org/proceedings/2014/pliks/269.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2006263612.pdf","grobid_xml":"https://content.openalex.org/works/W2006263612.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W158450660","https://openalex.org/W162015597","https://openalex.org/W592662076","https://openalex.org/W1483897861","https://openalex.org/W1495863380","https://openalex.org/W1510730180","https://openalex.org/W1538440749","https://openalex.org/W1579329156","https://openalex.org/W1598884337","https://openalex.org/W2012280556","https://openalex.org/W2071256459","https://openalex.org/W2083889349","https://openalex.org/W2087806988","https://openalex.org/W2089513963","https://openalex.org/W2216961322","https://openalex.org/W2475990372","https://openalex.org/W2498463796","https://openalex.org/W2610547191","https://openalex.org/W2734731986","https://openalex.org/W2754050529","https://openalex.org/W2947567546","https://openalex.org/W3035373793","https://openalex.org/W3139951841","https://openalex.org/W4243518179","https://openalex.org/W6606140460"],"related_works":["https://openalex.org/W1999127230","https://openalex.org/W4220893301","https://openalex.org/W18328579","https://openalex.org/W2018555057","https://openalex.org/W2154571469","https://openalex.org/W1604946673","https://openalex.org/W98134122","https://openalex.org/W1920640373","https://openalex.org/W4300791789","https://openalex.org/W2771272152"],"abstract_inverted_index":{"The":[0,32],"paper":[1],"illustrates":[2],"the":[3,6,62,84],"concept":[4],"of":[5,15,35,41,81,86],"map":[7,57],"with":[8,25,58],"logarithmically":[9],"invertible":[10],"decomposition.":[11],"We":[12],"introduce":[13],"families":[14],"multivariate":[16,49],"cryptosystems":[17],"such":[18,36,87],"that":[19],"there":[20],"security":[21],"level":[22,93],"is":[23,38,73],"connected":[24],"discrete":[26],"logarithm":[27],"problem":[28],"in":[29],"Cremona":[30],"group.":[31],"private":[33],"key":[34],"cryptosystem":[37],"a":[39,55],"modification":[40,82],"graph":[42],"based":[43],"stream":[44,88],"ciphers":[45,89],"which":[46],"use":[47],"stable":[48,56],"maps.":[50],"Modified":[51],"version":[52,72],"corresponds":[53],"to":[54,94],"single":[59],"disturbance.":[60],"If":[61],"disturbance":[63],"(or":[64],"initial":[65],"condition)":[66],"allows":[67],"fast":[68],"computation":[69],"then":[70],"modified":[71],"almost":[74],"as":[75,77],"robust":[76],"original":[78],"one.":[79],"Methods":[80],"improve":[83],"resistance":[85],"implemented":[90],"on":[91],"numerical":[92],"straightforward":[95],"linearisation":[96],"attacks.":[97]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}