{"id":"https://openalex.org/W133725558","doi":"https://doi.org/10.1007/978-3-540-68164-9_27","title":"Efficient Multiplication in $\\mathbb{F}_{3^{\\ell m}}$ , m\u2009\u2265\u20091 and 5\u2009\u2264\u2009\u2113\u2009\u2264\u200918","display_name":"Efficient Multiplication in $\\mathbb{F}_{3^{\\ell m}}$ , m\u2009\u2265\u20091 and 5\u2009\u2264\u2009\u2113\u2009\u2264\u200918","publication_year":2008,"publication_date":"2008-05-30","ids":{"openalex":"https://openalex.org/W133725558","doi":"https://doi.org/10.1007/978-3-540-68164-9_27","mag":"133725558"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-68164-9_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-68164-9_27","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009945678","display_name":"Murat Cenk","orcid":"https://orcid.org/0000-0003-4941-8734"},"institutions":[{"id":"https://openalex.org/I106245021","display_name":"\u00c7ankaya University","ror":"https://ror.org/056wqre19","country_code":"TR","type":"education","lineage":["https://openalex.org/I106245021"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Murat Cenk","raw_affiliation_strings":["Department of Mathematics and Computer Science, \u00c7ankaya University, Ankara, Turkey","Cankaya Univ"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, \u00c7ankaya University, Ankara, Turkey","institution_ids":["https://openalex.org/I106245021"]},{"raw_affiliation_string":"Cankaya Univ","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072676327","display_name":"Ferruh \u00d6zbudak","orcid":"https://orcid.org/0000-0002-1694-9283"},"institutions":[{"id":"https://openalex.org/I201799495","display_name":"Middle East Technical University","ror":"https://ror.org/014weej12","country_code":"TR","type":"education","lineage":["https://openalex.org/I201799495"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ferruh \u00d6zbudak","raw_affiliation_strings":["Middle East Technical Univ"],"affiliations":[{"raw_affiliation_string":"Middle East Technical Univ","institution_ids":["https://openalex.org/I201799495"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009945678"],"corresponding_institution_ids":["https://openalex.org/I106245021"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2789,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.51184405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"406","last_page":"414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7811904549598694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7325753569602966},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.7164761424064636},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7050535678863525},{"id":"https://openalex.org/keywords/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.6759707927703857},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6653154492378235},{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.5002684593200684},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.49114105105400085},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48469308018684387},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4676866829395294},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.45142996311187744},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17968344688415527},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08071649074554443},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05334022641181946}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7811904549598694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7325753569602966},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.7164761424064636},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7050535678863525},{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.6759707927703857},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6653154492378235},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.5002684593200684},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.49114105105400085},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48469308018684387},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4676866829395294},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.45142996311187744},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17968344688415527},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08071649074554443},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05334022641181946},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-68164-9_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-68164-9_27","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:open.metu.edu.tr:11511/30779","is_oa":false,"landing_page_url":"https://hdl.handle.net/11511/30779","pdf_url":null,"source":{"id":"https://openalex.org/S4306402495","display_name":"OpenMETU (Middle East Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201799495","host_organization_name":"Middle East Technical University","host_organization_lineage":["https://openalex.org/I201799495"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W934125151","https://openalex.org/W1487564550","https://openalex.org/W1523205079","https://openalex.org/W1541610148","https://openalex.org/W1649758727","https://openalex.org/W1965217510","https://openalex.org/W2129745589","https://openalex.org/W2132571841","https://openalex.org/W2132902317","https://openalex.org/W2187380582","https://openalex.org/W2490813647","https://openalex.org/W4214671568","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4287823239","https://openalex.org/W1984910481","https://openalex.org/W2154733965","https://openalex.org/W1608773862","https://openalex.org/W2366394750","https://openalex.org/W2393337705","https://openalex.org/W2161621882","https://openalex.org/W4388257762","https://openalex.org/W2170618847","https://openalex.org/W2366738637"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}