{"id":"https://openalex.org/W2145428071","doi":"https://doi.org/10.1007/3-540-48329-2_16","title":"Comparison of three modular reduction functions","display_name":"Comparison of three modular reduction functions","publication_year":2007,"publication_date":"2007-08-06","ids":{"openalex":"https://openalex.org/W2145428071","doi":"https://doi.org/10.1007/3-540-48329-2_16","mag":"2145428071"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-48329-2_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-48329-2_16","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-48329-2_16.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%2F3-540-48329-2_16.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060770037","display_name":"Antoon Bosselaers","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Antoon Bosselaers","raw_affiliation_strings":["Laboratorium ESAT, Katholieke Universiteit Leuven, Heveilee, Belgium","Katholieke Univ., Leuven, Heverlee, , Belgium"],"affiliations":[{"raw_affiliation_string":"Laboratorium ESAT, Katholieke Universiteit Leuven, Heveilee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Katholieke Univ., Leuven, Heverlee, , Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008214544","display_name":"Ren\u00e9 Govaerts","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Ren\u00e9 Govaerts","raw_affiliation_strings":["Laboratorium ESAT, Katholieke Universiteit Leuven, Heveilee, Belgium","Katholieke Univ., Leuven, Heverlee, , Belgium"],"affiliations":[{"raw_affiliation_string":"Laboratorium ESAT, Katholieke Universiteit Leuven, Heveilee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Katholieke Univ., Leuven, Heverlee, , Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022355148","display_name":"Joos Vandewalle","orcid":"https://orcid.org/0000-0001-7716-2460"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Joos Vandewalle","raw_affiliation_strings":["Laboratorium ESAT, Katholieke Universiteit Leuven, Heveilee, Belgium","Katholieke Univ., Leuven, Heverlee, , Belgium"],"affiliations":[{"raw_affiliation_string":"Laboratorium ESAT, Katholieke Universiteit Leuven, Heveilee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Katholieke Univ., Leuven, Heverlee, , Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060770037"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.2054,"has_fulltext":true,"cited_by_count":100,"citation_normalized_percentile":{"value":0.96220986,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"175","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/modular-exponentiation","display_name":"Modular exponentiation","score":0.9330216646194458},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.7863376140594482},{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.6934435367584229},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.6361019015312195},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6208919286727905},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6086701154708862},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.5347921252250671},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.42770740389823914},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41187602281570435},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.388733834028244},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3469346761703491},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3208323121070862},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2511347532272339},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.23015034198760986},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.0964566171169281},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07058602571487427},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.06126922369003296}],"concepts":[{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.9330216646194458},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.7863376140594482},{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.6934435367584229},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.6361019015312195},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6208919286727905},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6086701154708862},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.5347921252250671},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.42770740389823914},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41187602281570435},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.388733834028244},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3469346761703491},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3208323121070862},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2511347532272339},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.23015034198760986},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0964566171169281},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07058602571487427},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.06126922369003296},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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:10.1007/3-540-48329-2_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-48329-2_16","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-48329-2_16.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:10.1007/3-540-48329-2_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-48329-2_16","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-48329-2_16.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/W2145428071.pdf","grobid_xml":"https://content.openalex.org/works/W2145428071.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W49557214","https://openalex.org/W1498685334","https://openalex.org/W1550170577","https://openalex.org/W1559749967","https://openalex.org/W1591099339","https://openalex.org/W1998777945","https://openalex.org/W2004814164","https://openalex.org/W2127856956","https://openalex.org/W2752853835","https://openalex.org/W4237773356"],"related_works":["https://openalex.org/W2292159208","https://openalex.org/W2137988767","https://openalex.org/W2076621334","https://openalex.org/W2107014706","https://openalex.org/W2543318645","https://openalex.org/W1977356083","https://openalex.org/W2351661629","https://openalex.org/W2045682094","https://openalex.org/W3023445585","https://openalex.org/W2039465140"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-06T07:47:59.780226","created_date":"2025-10-10T00:00:00"}
