{"id":"https://openalex.org/W3084950551","doi":"https://doi.org/10.1080/23799927.2020.1822446","title":"An adaptive attack on 2-SIDH","display_name":"An adaptive attack on 2-SIDH","publication_year":2020,"publication_date":"2020-09-11","ids":{"openalex":"https://openalex.org/W3084950551","doi":"https://doi.org/10.1080/23799927.2020.1822446","mag":"3084950551"},"language":"en","primary_location":{"id":"doi:10.1080/23799927.2020.1822446","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23799927.2020.1822446","pdf_url":null,"source":{"id":"https://openalex.org/S4210234901","display_name":"International Journal of Computer Mathematics Computer Systems Theory","issn_l":"2379-9927","issn":["2379-9927","2379-9935"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics: Computer Systems Theory","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/A5058565316","display_name":"Samuel Dobson","orcid":"https://orcid.org/0000-0003-0775-4019"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Samuel Dobson","raw_affiliation_strings":["Department of Mathematics, University of Auckland, Auckland, New Zealand"],"raw_orcid":"https://orcid.org/0000-0003-0775-4019","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037105570","display_name":"Steven D. Galbraith\u22c6","orcid":"https://orcid.org/0000-0001-7114-8377"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Steven D. Galbraith","raw_affiliation_strings":["Department of Mathematics, University of Auckland, Auckland, New Zealand"],"raw_orcid":"https://orcid.org/0000-0001-7114-8377","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032004883","display_name":"Jason T. LeGrow","orcid":"https://orcid.org/0000-0002-6239-6616"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jason LeGrow","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063990146","display_name":"Yan Bo Ti","orcid":"https://orcid.org/0000-0002-1851-921X"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Yan Bo Ti","raw_affiliation_strings":["Department of Mathematics, University of Auckland, Auckland, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041409346","display_name":"Lukas Zobernig","orcid":"https://orcid.org/0000-0002-8064-8514"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Lukas Zobernig","raw_affiliation_strings":["Department of Mathematics, University of Auckland, Auckland, New Zealand"],"raw_orcid":"https://orcid.org/0000-0002-8064-8514","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5063990146"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":2.2269,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.90805151,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"5","issue":"4","first_page":"282","last_page":"299"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9995999932289124,"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":0.9995999932289124,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9993000030517578,"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/T10237","display_name":"Cryptography and Data Security","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/isogeny","display_name":"Isogeny","score":0.8539066910743713},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6114218235015869},{"id":"https://openalex.org/keywords/key-exchange","display_name":"Key exchange","score":0.5920584201812744},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4334411025047302},{"id":"https://openalex.org/keywords/countermeasure","display_name":"Countermeasure","score":0.41378480195999146},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.34328585863113403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2861899137496948},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.21610605716705322},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.1960754096508026},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.06931564211845398}],"concepts":[{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.8539066910743713},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6114218235015869},{"id":"https://openalex.org/C99674996","wikidata":"https://www.wikidata.org/wiki/Q1414155","display_name":"Key exchange","level":4,"score":0.5920584201812744},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4334411025047302},{"id":"https://openalex.org/C21593369","wikidata":"https://www.wikidata.org/wiki/Q1032176","display_name":"Countermeasure","level":2,"score":0.41378480195999146},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.34328585863113403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2861899137496948},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.21610605716705322},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.1960754096508026},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.06931564211845398},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/23799927.2020.1822446","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23799927.2020.1822446","pdf_url":null,"source":{"id":"https://openalex.org/S4210234901","display_name":"International Journal of Computer Mathematics Computer Systems Theory","issn_l":"2379-9927","issn":["2379-9927","2379-9935"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics: Computer Systems Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1226543429","display_name":null,"funder_award_id":"16-UOA-144","funder_id":"https://openalex.org/F4320335369","funder_display_name":"Marsden Fund"},{"id":"https://openalex.org/G4717175885","display_name":null,"funder_award_id":"UOAX1933","funder_id":"https://openalex.org/F4320321983","funder_display_name":"Ministry of Business, Innovation and Employment"}],"funders":[{"id":"https://openalex.org/F4320321983","display_name":"Ministry of Business, Innovation and Employment","ror":"https://ror.org/02jtq1b51"},{"id":"https://openalex.org/F4320335369","display_name":"Marsden Fund","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W43667552","https://openalex.org/W1987475429","https://openalex.org/W2000932900","https://openalex.org/W2552090562","https://openalex.org/W2567289819","https://openalex.org/W2776615543","https://openalex.org/W2811492100","https://openalex.org/W2970034127"],"related_works":["https://openalex.org/W2904585189","https://openalex.org/W2350438938","https://openalex.org/W3134452240","https://openalex.org/W4387776729","https://openalex.org/W2921026886","https://openalex.org/W3165502361","https://openalex.org/W3201665246","https://openalex.org/W2495331295","https://openalex.org/W3023666509","https://openalex.org/W4365934498"],"abstract_inverted_index":{"We":[0,102],"present":[1],"a":[2,14,66],"polynomial-time":[3],"adaptive":[4,39,55],"attack":[5,52,56,87,109,118],"on":[6,100],"the":[7,18,35,54,86,95,108,117],"2-SIDH":[8,11],"protocol.":[9],"The":[10,73],"protocol":[12],"is":[13,77,120],"special":[15],"instance":[16],"of":[17,37,75],"countermeasure":[19,42],"proposed":[20,48],"by":[21,49,57],"Azarderakhsh,":[22],"Jao":[23],"and":[24,61,79,98,114],"Leonardi":[25],"to":[26,64,89,106,110],"perform":[27],"isogeny-based":[28],"key":[29,69],"exchange":[30],"with":[31],"static":[32,67],"keys":[33],"in":[34,94,122],"presence":[36],"an":[38],"attack.":[40],"This":[41],"has":[43],"also":[44,103],"been":[45],"recently":[46],"explicitly":[47],"Kayacan.":[50],"Our":[51],"extends":[53],"Galbraith,":[58],"Petit,":[59],"Shani":[60],"Ti":[62],"(GPST)":[63],"recover":[65,90],"secret":[68],"using":[70],"malformed":[71],"points.":[72],"extension":[74],"GPST":[76],"non-trivial":[78],"requires":[80],"learning":[81],"additional":[82],"information.":[83],"In":[84],"particular,":[85],"needs":[88],"intermediate":[91],"elliptic":[92],"curves":[93],"isogeny":[96],"path,":[97],"points":[99],"them.":[101],"discuss":[104],"how":[105],"extend":[107],"k-SIDH":[111],"when":[112],"k>2":[113],"explain":[115],"that":[116],"complexity":[119],"exponential":[121],"k.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}