{"id":"https://openalex.org/W2235384826","doi":"https://doi.org/10.1007/0-387-34805-0_31","title":"A key exchange system based on real quadratic fields Extended abstract","display_name":"A key exchange system based on real quadratic fields Extended abstract","publication_year":2007,"publication_date":"2007-11-09","ids":{"openalex":"https://openalex.org/W2235384826","doi":"https://doi.org/10.1007/0-387-34805-0_31","mag":"2235384826"},"language":"en","primary_location":{"id":"doi:10.1007/0-387-34805-0_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/0-387-34805-0_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5058021952","display_name":"Johannes Buchmann","orcid":"https://orcid.org/0000-0001-8995-3446"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Johannes A. Buchmann","raw_affiliation_strings":["FB 10-Informatik, Universit\u00e4t des Saarlandes, 6600, Saarbr\u00fccken, West Germany"],"affiliations":[{"raw_affiliation_string":"FB 10-Informatik, Universit\u00e4t des Saarlandes, 6600, Saarbr\u00fccken, West Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103889892","display_name":"Hugh C. Williams","orcid":null},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hugh C. Williams","raw_affiliation_strings":["Department of Computer Science, University of Manitoba, Winnipeg, Manitoba, Canada, R3T2N2"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Manitoba, Winnipeg, Manitoba, Canada, R3T2N2","institution_ids":["https://openalex.org/I46247651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058021952"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.3442,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.93209284,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"335","last_page":"343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"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":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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":0.9987000226974487,"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/discrete-logarithm","display_name":"Discrete logarithm","score":0.9204533100128174},{"id":"https://openalex.org/keywords/key-exchange","display_name":"Key exchange","score":0.7458838224411011},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6693690419197083},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6439924836158752},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.5745505094528198},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5599238872528076},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5481989979743958},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5098430514335632},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.4999418258666992},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47504356503486633},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4684215784072876},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4591614007949829},{"id":"https://openalex.org/keywords/diffie\u2013hellman-key-exchange","display_name":"Diffie\u2013Hellman key exchange","score":0.4486595690250397},{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.43165460228919983},{"id":"https://openalex.org/keywords/finite-group","display_name":"Finite group","score":0.4311039447784424},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4271154999732971},{"id":"https://openalex.org/keywords/multiplicative-group","display_name":"Multiplicative group","score":0.4146583378314972},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39700087904930115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3923502564430237},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22334694862365723},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19648674130439758},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.15133780241012573},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07439109683036804},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.06583356857299805},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.056574463844299316}],"concepts":[{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.9204533100128174},{"id":"https://openalex.org/C99674996","wikidata":"https://www.wikidata.org/wiki/Q1414155","display_name":"Key exchange","level":4,"score":0.7458838224411011},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6693690419197083},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6439924836158752},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5745505094528198},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5599238872528076},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5481989979743958},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5098430514335632},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4999418258666992},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47504356503486633},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4684215784072876},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4591614007949829},{"id":"https://openalex.org/C29524669","wikidata":"https://www.wikidata.org/wiki/Q623447","display_name":"Diffie\u2013Hellman key exchange","level":5,"score":0.4486595690250397},{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.43165460228919983},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.4311039447784424},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4271154999732971},{"id":"https://openalex.org/C92788228","wikidata":"https://www.wikidata.org/wiki/Q3777923","display_name":"Multiplicative group","level":3,"score":0.4146583378314972},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39700087904930115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3923502564430237},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22334694862365723},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19648674130439758},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.15133780241012573},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07439109683036804},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.06583356857299805},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.056574463844299316},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/0-387-34805-0_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/0-387-34805-0_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1978709891","https://openalex.org/W1990820504","https://openalex.org/W2033535959","https://openalex.org/W2036378739","https://openalex.org/W2090640513","https://openalex.org/W2156186849","https://openalex.org/W2159366854","https://openalex.org/W3087300493","https://openalex.org/W4230249582","https://openalex.org/W4245047333"],"related_works":["https://openalex.org/W4387225086","https://openalex.org/W2149341144","https://openalex.org/W2156575820","https://openalex.org/W3000282663","https://openalex.org/W2174196465","https://openalex.org/W2894508952","https://openalex.org/W1507481399","https://openalex.org/W4312836248","https://openalex.org/W3109797057","https://openalex.org/W2041834100"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
