{"id":"https://openalex.org/W153171884","doi":"https://doi.org/10.1007/3-540-44709-1_25","title":"Universal Exponentiation Algorithm A First Step towards Provable SPA-Resistance","display_name":"Universal Exponentiation Algorithm A First Step towards Provable SPA-Resistance","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W153171884","doi":"https://doi.org/10.1007/3-540-44709-1_25","mag":"153171884"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44709-1_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44709-1_25","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":"conference-paper","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/A5000311223","display_name":"Christophe Clavier","orcid":"https://orcid.org/0000-0002-0767-3684"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christophe Clavier","raw_affiliation_strings":["Card Security Group, Gemplus Card International, Parc d\u2019Activit\u2019es de G\u00e9menos, B.P. 100, 13881, G\u00e9menos, France","Card Security Group, Gemplus Card International, Parc d'Activit'es de G\u00e9menos, B.P. 100, 13881, G\u00e9menos, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Card Security Group, Gemplus Card International, Parc d\u2019Activit\u2019es de G\u00e9menos, B.P. 100, 13881, G\u00e9menos, France","institution_ids":[]},{"raw_affiliation_string":"Card Security Group, Gemplus Card International, Parc d'Activit'es de G\u00e9menos, B.P. 100, 13881, G\u00e9menos, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074996766","display_name":"Marc J\u00f3ye","orcid":"https://orcid.org/0000-0003-4433-2333"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marc Joye","raw_affiliation_strings":["Card Security Group, Gemplus Card International, Parc d\u2019Activit\u2019es de G\u00e9menos, B.P. 100, 13881, G\u00e9menos, France","Card Security Group, Gemplus Card International, Parc d'Activit'es de G\u00e9menos, B.P. 100, 13881, G\u00e9menos, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Card Security Group, Gemplus Card International, Parc d\u2019Activit\u2019es de G\u00e9menos, B.P. 100, 13881, G\u00e9menos, France","institution_ids":[]},{"raw_affiliation_string":"Card Security Group, Gemplus Card International, Parc d'Activit'es de G\u00e9menos, B.P. 100, 13881, G\u00e9menos, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.6685,"has_fulltext":false,"cited_by_count":93,"citation_normalized_percentile":{"value":0.9643951,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"300","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":1.0,"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/T10951","display_name":"Cryptographic Implementations and Security","score":1.0,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","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"}}],"keywords":[{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.9753367900848389},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6189578771591187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5610877275466919},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.5428473949432373},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5204565525054932},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.47786134481430054},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.4599652886390686},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.43583914637565613},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.410675048828125},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4103237986564636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34787845611572266},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.3060239255428314},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.24733495712280273},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.22055584192276},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1368604302406311},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.054919272661209106}],"concepts":[{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.9753367900848389},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6189578771591187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5610877275466919},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.5428473949432373},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5204565525054932},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.47786134481430054},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.4599652886390686},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.43583914637565613},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.410675048828125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4103237986564636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34787845611572266},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.3060239255428314},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.24733495712280273},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.22055584192276},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1368604302406311},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.054919272661209106},{"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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-44709-1_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44709-1_25","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.15.7361","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.7361","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.geocities.com/CapeCanaveral/Launchpad/9160/./papers/univ01.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-02487050v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02487050","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CHES 2001, May 2001, Paris, France. pp.300-308, ⟨10.1007/3-540-44709-1_25⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1516512945","https://openalex.org/W1552695147","https://openalex.org/W1603232528","https://openalex.org/W1613874182","https://openalex.org/W1897761346","https://openalex.org/W1981663184","https://openalex.org/W2052267638","https://openalex.org/W2087316303","https://openalex.org/W2154909745","https://openalex.org/W2228496708","https://openalex.org/W2483831233","https://openalex.org/W2484860292","https://openalex.org/W2485204867","https://openalex.org/W2493671158","https://openalex.org/W2495595500","https://openalex.org/W2497291046","https://openalex.org/W2566181608","https://openalex.org/W4210300416"],"related_works":["https://openalex.org/W4235485585","https://openalex.org/W670148","https://openalex.org/W1507420113","https://openalex.org/W4242613270","https://openalex.org/W2107014706","https://openalex.org/W28274153","https://openalex.org/W2736837562","https://openalex.org/W2020808628","https://openalex.org/W2113040119","https://openalex.org/W2039465140"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}