{"id":"https://openalex.org/W1617851311","doi":"https://doi.org/10.1007/3-540-39118-5_13","title":"An Improved Protocol for Demonstrating Possession of Discrete Logarithms and Some Generalizations","display_name":"An Improved Protocol for Demonstrating Possession of Discrete Logarithms and Some Generalizations","publication_year":2010,"publication_date":"2010-07-13","ids":{"openalex":"https://openalex.org/W1617851311","doi":"https://doi.org/10.1007/3-540-39118-5_13","mag":"1617851311"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-39118-5_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-39118-5_13","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-39118-5_13.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-39118-5_13.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025877023","display_name":"David Chaum","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"David Chaum","raw_affiliation_strings":["Centre for Mathematics and Computer Science (CWI), Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands","Centre for Mathematics and Computer Science, Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Centre for Mathematics and Computer Science (CWI), Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"Centre for Mathematics and Computer Science, Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112712610","display_name":"Jan\u2010Hendrik Evertse","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jan-Hendrik Evertse","raw_affiliation_strings":["Centre for Mathematics and Computer Science, Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Centre for Mathematics and Computer Science, Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109801373","display_name":"Jeroen van de Graaf","orcid":"https://orcid.org/0000-0001-7048-6585"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jeroen Graaf","raw_affiliation_strings":["Centre for Mathematics and Computer Science, Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Centre for Mathematics and Computer Science, Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025877023"],"corresponding_institution_ids":["https://openalex.org/I1341640284"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":13.4822,"has_fulltext":true,"cited_by_count":254,"citation_normalized_percentile":{"value":0.9923676,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"127","last_page":"141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9945999979972839,"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":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.9018080234527588},{"id":"https://openalex.org/keywords/possession","display_name":"Possession (linguistics)","score":0.7921261787414551},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7020577192306519},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6622960567474365},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.630952775478363},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.482313871383667},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.47567883133888245},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.42978647351264954},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38846713304519653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35831141471862793},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2983342409133911},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.08147495985031128},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.07768800854682922}],"concepts":[{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.9018080234527588},{"id":"https://openalex.org/C2780193096","wikidata":"https://www.wikidata.org/wiki/Q3543662","display_name":"Possession (linguistics)","level":2,"score":0.7921261787414551},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7020577192306519},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6622960567474365},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.630952775478363},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.482313871383667},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.47567883133888245},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.42978647351264954},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38846713304519653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35831141471862793},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2983342409133911},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.08147495985031128},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.07768800854682922},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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:10.1007/3-540-39118-5_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-39118-5_13","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-39118-5_13.pdf","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":{"id":"doi:10.1007/3-540-39118-5_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-39118-5_13","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-39118-5_13.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1617851311.pdf","grobid_xml":"https://content.openalex.org/works/W1617851311.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W76185347","https://openalex.org/W340987026","https://openalex.org/W1498590645","https://openalex.org/W1529925669","https://openalex.org/W1589034595","https://openalex.org/W1604074479","https://openalex.org/W1829613831","https://openalex.org/W1866697669","https://openalex.org/W2003736153","https://openalex.org/W2108020916","https://openalex.org/W2119436952","https://openalex.org/W2144752539","https://openalex.org/W6603103728","https://openalex.org/W6639210743"],"related_works":["https://openalex.org/W1555245969","https://openalex.org/W2321282558","https://openalex.org/W2299507895","https://openalex.org/W1900540279","https://openalex.org/W4300200155","https://openalex.org/W4300498183","https://openalex.org/W1544736259","https://openalex.org/W2012392278","https://openalex.org/W2656095712","https://openalex.org/W1833714557"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}
