{"id":"https://openalex.org/W1566015562","doi":"https://doi.org/10.1007/978-3-642-03644-6_11","title":"Efficient Multiplication of Polynomials on Graphics Hardware","display_name":"Efficient Multiplication of Polynomials on Graphics Hardware","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1566015562","doi":"https://doi.org/10.1007/978-3-642-03644-6_11","mag":"1566015562"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03644-6_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03644-6_11","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/A5000660256","display_name":"Pavel Emeliyanenko","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Pavel Emeliyanenko","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000660256"],"corresponding_institution_ids":["https://openalex.org/I4210109712"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.1928,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.91546848,"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":"134","last_page":"149"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.7745275497436523},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7315291166305542},{"id":"https://openalex.org/keywords/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.7213996648788452},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.6254778504371643},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5501211881637573},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5087023377418518},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.4957626760005951},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4466641843318939},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.4343525767326355},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.43014711141586304},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4107188880443573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27817121148109436},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.1978362798690796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19316136837005615},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.10827738046646118},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10284557938575745},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07947525382041931}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7745275497436523},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7315291166305542},{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.7213996648788452},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.6254778504371643},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5501211881637573},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5087023377418518},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.4957626760005951},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4466641843318939},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.4343525767326355},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.43014711141586304},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4107188880443573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27817121148109436},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.1978362798690796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19316136837005615},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.10827738046646118},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10284557938575745},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07947525382041931},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-03644-6_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03644-6_11","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:CiteSeerX.psu:10.1.1.330.148","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.330.148","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mpi-inf.mpg.de/~emeliyan/poly_mul.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:518278","is_oa":false,"landing_page_url":"http://edoc.mpg.de/518278","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dou, Yong, Gruber, Ralf, Joller, Josef: 8th International Conference on Advanced Parallel Processing Technologies, Springer, 134-149 (2009)","raw_type":"Conference-Paper"},{"id":"pmh:oai:pure.mpg.de:item_1324103","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-183A-B","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1489433220","https://openalex.org/W1492887728","https://openalex.org/W1539159366","https://openalex.org/W1562183207","https://openalex.org/W1595559231","https://openalex.org/W1967810725","https://openalex.org/W2001108804","https://openalex.org/W2004511788","https://openalex.org/W2008968509","https://openalex.org/W2016677154","https://openalex.org/W2025714006","https://openalex.org/W2038318831","https://openalex.org/W2061171222","https://openalex.org/W2062719800","https://openalex.org/W2083368929","https://openalex.org/W2086198320","https://openalex.org/W2090267299","https://openalex.org/W2092690651","https://openalex.org/W2104380208","https://openalex.org/W2108600626","https://openalex.org/W2110224059","https://openalex.org/W2138849660","https://openalex.org/W2155417280","https://openalex.org/W2155503253","https://openalex.org/W2169150396","https://openalex.org/W2478032277","https://openalex.org/W2486433473","https://openalex.org/W2557791954","https://openalex.org/W4205295188","https://openalex.org/W4255213956"],"related_works":["https://openalex.org/W2393695657","https://openalex.org/W2394101232","https://openalex.org/W2093243288","https://openalex.org/W2361290373","https://openalex.org/W4302768783","https://openalex.org/W2782264914","https://openalex.org/W2535688509","https://openalex.org/W2295223161","https://openalex.org/W2963480066","https://openalex.org/W2258400458"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}