{"id":"https://openalex.org/W2168713059","doi":"https://doi.org/10.1007/978-3-642-13797-6_12","title":"Speeding Up Bipartite Modular Multiplication","display_name":"Speeding Up Bipartite Modular Multiplication","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2168713059","doi":"https://doi.org/10.1007/978-3-642-13797-6_12","mag":"2168713059"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-13797-6_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13797-6_12","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":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/123456789/280757","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102962626","display_name":"Miroslav Kne\u017eevi\u0107","orcid":"https://orcid.org/0000-0002-8542-4966"},"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":"Miroslav Kne\u017eevi\u0107","raw_affiliation_strings":["Department of Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032574536","display_name":"Fr\u00e9derik Vercauteren","orcid":"https://orcid.org/0000-0002-7208-9599"},"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":"Frederik Vercauteren","raw_affiliation_strings":["Department of Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082347771","display_name":"Ingrid Verbauwhede","orcid":"https://orcid.org/0000-0002-0879-076X"},"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":"Ingrid Verbauwhede","raw_affiliation_strings":["Department of Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102962626"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3149,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90710383,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"166","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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":0.9998000264167786,"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/T10237","display_name":"Cryptography and Data Security","score":0.993399977684021,"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":0.9865999817848206,"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-arithmetic","display_name":"Modular arithmetic","score":0.7353652119636536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7049006223678589},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6763838529586792},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6230897903442383},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.6195809841156006},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.564042866230011},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5241589546203613},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.4761674106121063},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.47537508606910706},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4604319930076599},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.4488523006439209},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.444061815738678},{"id":"https://openalex.org/keywords/scalar-multiplication","display_name":"Scalar multiplication","score":0.4365352392196655},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.41525566577911377},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.38064923882484436},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3361250162124634},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32153695821762085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.234022319316864},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.1490899920463562},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.11914154887199402},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07046142220497131}],"concepts":[{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.7353652119636536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7049006223678589},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6763838529586792},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6230897903442383},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.6195809841156006},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.564042866230011},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5241589546203613},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.4761674106121063},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.47537508606910706},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4604319930076599},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.4488523006439209},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.444061815738678},{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.4365352392196655},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.41525566577911377},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.38064923882484436},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3361250162124634},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32153695821762085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.234022319316864},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.1490899920463562},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.11914154887199402},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07046142220497131},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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":2,"locations":[{"id":"doi:10.1007/978-3-642-13797-6_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13797-6_12","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:lirias2repo.kuleuven.be:123456789/280757","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/280757","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"WAIFI 2010, TURKEY, Istanbul, 27-30 June 2010","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/280757","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/280757","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"WAIFI 2010, TURKEY, Istanbul, 27-30 June 2010","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W10068438","https://openalex.org/W239595814","https://openalex.org/W1498685334","https://openalex.org/W1544369918","https://openalex.org/W1580300316","https://openalex.org/W1592482282","https://openalex.org/W1602865989","https://openalex.org/W1606269009","https://openalex.org/W1660562555","https://openalex.org/W1926754459","https://openalex.org/W1996360405","https://openalex.org/W2004814164","https://openalex.org/W2101040389","https://openalex.org/W2110393764","https://openalex.org/W2130783199","https://openalex.org/W2147906334","https://openalex.org/W2156186849","https://openalex.org/W2561675875","https://openalex.org/W4232836212","https://openalex.org/W4237773356","https://openalex.org/W4285719527","https://openalex.org/W4289126832"],"related_works":["https://openalex.org/W2946358183","https://openalex.org/W2070976279","https://openalex.org/W3203056599","https://openalex.org/W2343736460","https://openalex.org/W1993936776","https://openalex.org/W2351744923","https://openalex.org/W2152593841","https://openalex.org/W1568138047","https://openalex.org/W2099732842","https://openalex.org/W2140465401"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
