{"id":"https://openalex.org/W1554368220","doi":"https://doi.org/10.1007/978-3-540-31856-9_40","title":"A Lower Bound on the Complexity of Polynomial Multiplication Over Finite Fields","display_name":"A Lower Bound on the Complexity of Polynomial Multiplication Over Finite Fields","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1554368220","doi":"https://doi.org/10.1007/978-3-540-31856-9_40","mag":"1554368220"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-31856-9_40","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-31856-9_40","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/A5103219563","display_name":"Michael Kaminski","orcid":"https://orcid.org/0000-0002-9848-4191"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Michael Kaminski","raw_affiliation_strings":["Department of Computer Science, Technion \u2013 Israel Institute of Technology, Haifa, 32000, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion \u2013 Israel Institute of Technology, Haifa, 32000, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103219563"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12408021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"485","last_page":"495"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","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/T11130","display_name":"Coding theory and cryptography","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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9972000122070312,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9743000268936157,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.8274401426315308},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6394542455673218},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5944979190826416},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5931234955787659},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.56260085105896},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5580976605415344},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5452204346656799},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49895715713500977},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.49686864018440247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4754697382450104},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46286946535110474},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.151068776845932},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12573882937431335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08172607421875},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.060073673725128174}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.8274401426315308},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6394542455673218},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5944979190826416},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5931234955787659},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.56260085105896},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5580976605415344},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5452204346656799},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49895715713500977},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.49686864018440247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4754697382450104},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46286946535110474},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.151068776845932},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12573882937431335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08172607421875},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.060073673725128174},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-31856-9_40","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-31856-9_40","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W33721796","https://openalex.org/W201320490","https://openalex.org/W1561337879","https://openalex.org/W1985380514","https://openalex.org/W1985896262","https://openalex.org/W1986545924","https://openalex.org/W1992987852","https://openalex.org/W2010537260","https://openalex.org/W2020281898","https://openalex.org/W2037460395","https://openalex.org/W2059732659","https://openalex.org/W2064759901","https://openalex.org/W2065832012","https://openalex.org/W2104494563","https://openalex.org/W2135287528","https://openalex.org/W2158695559","https://openalex.org/W4234345682"],"related_works":["https://openalex.org/W3093936885","https://openalex.org/W2994146737","https://openalex.org/W295308437","https://openalex.org/W2992046671","https://openalex.org/W2106539092","https://openalex.org/W4205300683","https://openalex.org/W56570565","https://openalex.org/W334259611","https://openalex.org/W4250723130","https://openalex.org/W2078863749"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}