{"id":"https://openalex.org/W1558771847","doi":"https://doi.org/10.1007/978-3-540-69499-1_7","title":"Modular Reduction in GF(2 n ) without Pre-computational Phase","display_name":"Modular Reduction in GF(2 n ) without Pre-computational Phase","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1558771847","doi":"https://doi.org/10.1007/978-3-540-69499-1_7","mag":"1558771847"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-69499-1_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-69499-1_7","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/123456789/228622","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":"M. Kne\u017eevi\u0107","raw_affiliation_strings":["Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium B-3001#TAB#"],"affiliations":[{"raw_affiliation_string":"Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium B-3001#TAB#","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020285271","display_name":"Kazuo Sakiyama","orcid":"https://orcid.org/0000-0002-4414-815X"},"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"]},{"id":"https://openalex.org/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]}],"countries":["BE","JP"],"is_corresponding":false,"raw_author_name":"K. Sakiyama","raw_affiliation_strings":["Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","Dept. of Information and Communication Eng., University of Electro-Communications, 1-5-1 Chofugaoka, Chofu, Tokyo, 182-8585, Japan","Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium B-3001 and Dept. of Information and Communication Eng., University of Electro- ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Dept. of Information and Communication Eng., University of Electro-Communications, 1-5-1 Chofugaoka, Chofu, Tokyo, 182-8585, Japan","institution_ids":["https://openalex.org/I20529979"]},{"raw_affiliation_string":"Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium B-3001 and Dept. of Information and Communication Eng., University of Electro- ...#TAB#","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113563229","display_name":"Junfeng Fan","orcid":"https://orcid.org/0000-0003-4922-7946"},"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":"J. Fan","raw_affiliation_strings":["Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium B-3001#TAB#"],"affiliations":[{"raw_affiliation_string":"Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium B-3001#TAB#","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":"I. Verbauwhede","raw_affiliation_strings":["Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium B-3001#TAB#"],"affiliations":[{"raw_affiliation_string":"Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Department Electrical Engineering - ESAT/SCD-COSIC and IBBT, Katholieke Universiteit Leuven, Leuven-Heverlee, Belgium B-3001#TAB#","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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":1.5286,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.84648863,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"77","last_page":"87"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9980000257492065,"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":0.9940000176429749,"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/computer-science","display_name":"Computer science","score":0.7286902070045471},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.7131600975990295},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.7011024951934814},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.646851122379303},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5075005888938904},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4759942293167114},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.45397236943244934},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4435119330883026},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4343680441379547},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4236692190170288},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37031033635139465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23005881905555725},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18784686923027039}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7286902070045471},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.7131600975990295},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.7011024951934814},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.646851122379303},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5075005888938904},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4759942293167114},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.45397236943244934},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4435119330883026},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4343680441379547},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4236692190170288},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37031033635139465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23005881905555725},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18784686923027039},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-69499-1_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-69499-1_7","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:123456789/228622","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/228622","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 2008, ITALY, Siena, 6-9 July 2008","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/228622","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/228622","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 2008, ITALY, Siena, 6-9 July 2008","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W349669889","https://openalex.org/W1498685334","https://openalex.org/W1508193711","https://openalex.org/W1534388293","https://openalex.org/W1996360405","https://openalex.org/W2003736153","https://openalex.org/W2004814164","https://openalex.org/W2036378739","https://openalex.org/W2103774873","https://openalex.org/W2108834246","https://openalex.org/W2141404107","https://openalex.org/W2156186849","https://openalex.org/W2223160607","https://openalex.org/W2561675875","https://openalex.org/W3041379456","https://openalex.org/W4232836212","https://openalex.org/W4237773356","https://openalex.org/W4245047333"],"related_works":["https://openalex.org/W2060413552","https://openalex.org/W2386275453","https://openalex.org/W2360596780","https://openalex.org/W2361826146","https://openalex.org/W2351723073","https://openalex.org/W2361290373","https://openalex.org/W2082919005","https://openalex.org/W4302768783","https://openalex.org/W2782264914","https://openalex.org/W2078863749"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"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":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
