{"id":"https://openalex.org/W113644180","doi":"https://doi.org/10.1007/3-540-08921-7_72","title":"Multiplicative complexity of a pair of bilinear forms and of the polynomial multiplication","display_name":"Multiplicative complexity of a pair of bilinear forms and of the polynomial multiplication","publication_year":1978,"publication_date":"1978-01-01","ids":{"openalex":"https://openalex.org/W113644180","doi":"https://doi.org/10.1007/3-540-08921-7_72","mag":"113644180"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-08921-7_72","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-08921-7_72","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/A5109431961","display_name":"Dima Grigoriev","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU","SK"],"is_corresponding":true,"raw_author_name":"D. Yu. Grigoriev","raw_affiliation_strings":["Leningrad Branch of Mathematical Institute of Academy of Science, Fontanka 27, 191011, Leningrad, USSR","Leningrad Branch of Mathematical Institute of Academy of Science"],"affiliations":[{"raw_affiliation_string":"Leningrad Branch of Mathematical Institute of Academy of Science, Fontanka 27, 191011, Leningrad, USSR","institution_ids":["https://openalex.org/I2801160905"]},{"raw_affiliation_string":"Leningrad Branch of Mathematical Institute of Academy of Science","institution_ids":["https://openalex.org/I4210120676"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109431961"],"corresponding_institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I4210120676"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.7696,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.83291139,"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":"250","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9986000061035156,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9975000023841858,"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/multiplicative-function","display_name":"Multiplicative function","score":0.7654014229774475},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.7012956738471985},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7002203464508057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6036452651023865},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4802177846431732},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3782493770122528},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3234504461288452},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2373923659324646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07960048317909241},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.042636334896087646}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7654014229774475},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.7012956738471985},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7002203464508057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6036452651023865},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4802177846431732},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3782493770122528},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3234504461288452},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2373923659324646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07960048317909241},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.042636334896087646}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-08921-7_72","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-08921-7_72","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":12,"referenced_works":["https://openalex.org/W201320490","https://openalex.org/W615345195","https://openalex.org/W1551631489","https://openalex.org/W1649758727","https://openalex.org/W1907666253","https://openalex.org/W1974331311","https://openalex.org/W1981241857","https://openalex.org/W2010811692","https://openalex.org/W2026405063","https://openalex.org/W2032765816","https://openalex.org/W2083368929","https://openalex.org/W4250775169"],"related_works":["https://openalex.org/W2165589608","https://openalex.org/W3093557575","https://openalex.org/W3182767856","https://openalex.org/W2354231916","https://openalex.org/W2162140574","https://openalex.org/W2354073393","https://openalex.org/W2361009070","https://openalex.org/W2378988399","https://openalex.org/W1983356840","https://openalex.org/W2121457398"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
