{"id":"https://openalex.org/W2792966917","doi":"https://doi.org/10.3103/s0146411617080028","title":"Elliptic curves generation for isogeny-based cryptosystems","display_name":"Elliptic curves generation for isogeny-based cryptosystems","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2792966917","doi":"https://doi.org/10.3103/s0146411617080028","mag":"2792966917"},"language":"en","primary_location":{"id":"doi:10.3103/s0146411617080028","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411617080028","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5080928302","display_name":"E. B. Aleksandrova","orcid":"https://orcid.org/0000-0002-7485-4848"},"institutions":[{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"E. B. Aleksandrova","raw_affiliation_strings":["Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I212220629"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054026070","display_name":"\u0410. \u0410. Shtyrkina","orcid":"https://orcid.org/0000-0002-2141-6780"},"institutions":[{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. A. Shtyrkina","raw_affiliation_strings":["Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I212220629"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016189356","display_name":"A. V. Yarmak","orcid":"https://orcid.org/0000-0002-7121-6031"},"institutions":[{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. V. Yarmak","raw_affiliation_strings":["Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I212220629"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080928302"],"corresponding_institution_ids":["https://openalex.org/I212220629"],"apc_list":null,"apc_paid":null,"fwci":0.4836,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.77232829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"51","issue":"8","first_page":"928","last_page":"935"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9833999872207642,"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/isogeny","display_name":"Isogeny","score":0.9543988704681396},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.7731377482414246},{"id":"https://openalex.org/keywords/supersingular-elliptic-curve","display_name":"Supersingular elliptic curve","score":0.7496148943901062},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5450700521469116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5412613153457642},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.5315523147583008},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.48944440484046936},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4545913338661194},{"id":"https://openalex.org/keywords/elliptic-curve-point-multiplication","display_name":"Elliptic curve point multiplication","score":0.43614402413368225},{"id":"https://openalex.org/keywords/edwards-curve","display_name":"Edwards curve","score":0.42297452688217163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38408881425857544},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.35304802656173706},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2725064158439636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2428547739982605},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.14022797346115112},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11407974362373352},{"id":"https://openalex.org/keywords/quarter-period","display_name":"Quarter period","score":0.08656421303749084},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.0863879919052124}],"concepts":[{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.9543988704681396},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.7731377482414246},{"id":"https://openalex.org/C157567686","wikidata":"https://www.wikidata.org/wiki/Q7644139","display_name":"Supersingular elliptic curve","level":3,"score":0.7496148943901062},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5450700521469116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5412613153457642},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.5315523147583008},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.48944440484046936},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4545913338661194},{"id":"https://openalex.org/C117121985","wikidata":"https://www.wikidata.org/wiki/Q78380999","display_name":"Elliptic curve point multiplication","level":3,"score":0.43614402413368225},{"id":"https://openalex.org/C92727272","wikidata":"https://www.wikidata.org/wiki/Q3001190","display_name":"Edwards curve","level":5,"score":0.42297452688217163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38408881425857544},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.35304802656173706},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2725064158439636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2428547739982605},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.14022797346115112},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11407974362373352},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.08656421303749084},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0863879919052124},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3103/s0146411617080028","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411617080028","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W152221425","https://openalex.org/W1486898453","https://openalex.org/W1987475429","https://openalex.org/W2025384727","https://openalex.org/W2045890225","https://openalex.org/W2950524365","https://openalex.org/W2984020543","https://openalex.org/W3101994345"],"related_works":["https://openalex.org/W3138493780","https://openalex.org/W2548082687","https://openalex.org/W2121110380","https://openalex.org/W3211097549","https://openalex.org/W2348491713","https://openalex.org/W2559355736","https://openalex.org/W1546865581","https://openalex.org/W2071707911","https://openalex.org/W4200295827","https://openalex.org/W1536742018"],"abstract_inverted_index":{"Methods":[0],"of":[1,16,24,36,54],"generating":[2,25,37],"supersingular":[3],"and":[4,32,41],"ordinary":[5,26],"elliptic":[6,27],"curves":[7,28,38],"for":[8],"isogeny-based":[9,55],"cryptosystems":[10,56],"have":[11,44,57],"been":[12,30,45,58],"studied.":[13],"The":[14],"influence":[15,49],"the":[17,22,33,51],"class":[18],"field":[19],"polynomial":[20],"on":[21,50],"time":[23,35],"has":[29],"analyzed":[31],"comparative":[34],"using":[39],"Weber":[40],"Hilbert":[42],"polynomials":[43],"presented.":[46],"Parameters":[47],"that":[48],"cryptographic":[52],"security":[53],"considered.":[59]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}