{"id":"https://openalex.org/W2025322090","doi":"https://doi.org/10.1007/s10623-003-6154-z","title":"Generic Groups, Collision Resistance, and ECDSA","display_name":"Generic Groups, Collision Resistance, and ECDSA","publication_year":2005,"publication_date":"2005-02-28","ids":{"openalex":"https://openalex.org/W2025322090","doi":"https://doi.org/10.1007/s10623-003-6154-z","mag":"2025322090"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-003-6154-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-003-6154-z","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5003985977","display_name":"Daniel R. L. Brown","orcid":"https://orcid.org/0009-0003-4214-3114"},"institutions":[{"id":"https://openalex.org/I4210099137","display_name":"Research Canada","ror":"https://ror.org/0103eqz62","country_code":"CA","type":"facility","lineage":["https://openalex.org/I4210099137"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Daniel R. L. Brown","raw_affiliation_strings":["Certicom Research, Canada","Certicom Research, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Certicom Research, Canada","institution_ids":[]},{"raw_affiliation_string":"Certicom Research, Canada#TAB#","institution_ids":["https://openalex.org/I4210099137"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003985977"],"corresponding_institution_ids":["https://openalex.org/I4210099137"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":9.5145,"has_fulltext":false,"cited_by_count":118,"citation_normalized_percentile":{"value":0.97635328,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"35","issue":"1","first_page":"119","last_page":"152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","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/T10237","display_name":"Cryptography and Data Security","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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9984999895095825,"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":0.9977999925613403,"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/elliptic-curve-digital-signature-algorithm","display_name":"Elliptic Curve Digital Signature Algorithm","score":0.890700101852417},{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.7041313648223877},{"id":"https://openalex.org/keywords/ephemeral-key","display_name":"Ephemeral key","score":0.6010860204696655},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.5966525673866272},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5811830759048462},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5106831192970276},{"id":"https://openalex.org/keywords/collision-resistance","display_name":"Collision resistance","score":0.4804950952529907},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.44988659024238586},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44814252853393555},{"id":"https://openalex.org/keywords/digital-signature","display_name":"Digital signature","score":0.4364146888256073},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4296782612800598},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4180014133453369},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.37731659412384033},{"id":"https://openalex.org/keywords/cryptographic-hash-function","display_name":"Cryptographic hash function","score":0.3625994920730591},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35792404413223267},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.24914652109146118},{"id":"https://openalex.org/keywords/double-hashing","display_name":"Double hashing","score":0.10483279824256897},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.10431164503097534}],"concepts":[{"id":"https://openalex.org/C197966572","wikidata":"https://www.wikidata.org/wiki/Q915079","display_name":"Elliptic Curve Digital Signature Algorithm","level":5,"score":0.890700101852417},{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.7041313648223877},{"id":"https://openalex.org/C76947770","wikidata":"https://www.wikidata.org/wiki/Q4533181","display_name":"Ephemeral key","level":2,"score":0.6010860204696655},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.5966525673866272},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5811830759048462},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5106831192970276},{"id":"https://openalex.org/C150909736","wikidata":"https://www.wikidata.org/wiki/Q1779448","display_name":"Collision resistance","level":5,"score":0.4804950952529907},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.44988659024238586},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44814252853393555},{"id":"https://openalex.org/C118463975","wikidata":"https://www.wikidata.org/wiki/Q220849","display_name":"Digital signature","level":3,"score":0.4364146888256073},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4296782612800598},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4180014133453369},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.37731659412384033},{"id":"https://openalex.org/C7608002","wikidata":"https://www.wikidata.org/wiki/Q477202","display_name":"Cryptographic hash function","level":3,"score":0.3625994920730591},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35792404413223267},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.24914652109146118},{"id":"https://openalex.org/C138111711","wikidata":"https://www.wikidata.org/wiki/Q478351","display_name":"Double hashing","level":4,"score":0.10483279824256897},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.10431164503097534},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-003-6154-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-003-6154-z","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5400000214576721,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W1491251281","https://openalex.org/W1495058159","https://openalex.org/W1497795032","https://openalex.org/W1499074627","https://openalex.org/W1508193711","https://openalex.org/W1520399166","https://openalex.org/W1527059802","https://openalex.org/W1527077352","https://openalex.org/W1549228503","https://openalex.org/W1554259298","https://openalex.org/W1572427071","https://openalex.org/W1581994447","https://openalex.org/W1585524716","https://openalex.org/W1586972594","https://openalex.org/W1591954407","https://openalex.org/W1592109266","https://openalex.org/W1599334842","https://openalex.org/W1608415167","https://openalex.org/W1793111075","https://openalex.org/W1805549252","https://openalex.org/W1963716248","https://openalex.org/W1970209803","https://openalex.org/W1974232544","https://openalex.org/W2002930326","https://openalex.org/W2003736153","https://openalex.org/W2009192444","https://openalex.org/W2013613544","https://openalex.org/W2036378739","https://openalex.org/W2052267638","https://openalex.org/W2058546698","https://openalex.org/W2069196751","https://openalex.org/W2084091788","https://openalex.org/W2091826091","https://openalex.org/W2117420234","https://openalex.org/W2128718974","https://openalex.org/W2132233293","https://openalex.org/W2134046806","https://openalex.org/W2149093588","https://openalex.org/W2151413173","https://openalex.org/W2162653919","https://openalex.org/W2164988972","https://openalex.org/W2169194339","https://openalex.org/W2170293373","https://openalex.org/W2226303357","https://openalex.org/W2405015683","https://openalex.org/W2504511403","https://openalex.org/W2612543848","https://openalex.org/W2731239600","https://openalex.org/W2902401737","https://openalex.org/W2949718528","https://openalex.org/W3031215330","https://openalex.org/W3150881812","https://openalex.org/W4285719527","https://openalex.org/W4292508377","https://openalex.org/W6603924012","https://openalex.org/W6608142139","https://openalex.org/W6668345831","https://openalex.org/W6819034651"],"related_works":["https://openalex.org/W1487949331","https://openalex.org/W2166496294","https://openalex.org/W88955668","https://openalex.org/W1589892159","https://openalex.org/W1608187605","https://openalex.org/W2025322090","https://openalex.org/W2134615993","https://openalex.org/W2949441748","https://openalex.org/W2043711803","https://openalex.org/W3031430546"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}