{"id":"https://openalex.org/W2104494563","doi":"https://doi.org/10.1016/0885-064x(88)90012-x","title":"Algebraic complexities and algebraic curves over finite fields","display_name":"Algebraic complexities and algebraic curves over finite fields","publication_year":1988,"publication_date":"1988-12-01","ids":{"openalex":"https://openalex.org/W2104494563","doi":"https://doi.org/10.1016/0885-064x(88)90012-x","mag":"2104494563"},"language":"en","primary_location":{"id":"doi:10.1016/0885-064x(88)90012-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0885-064x(88)90012-x","pdf_url":null,"source":{"id":"https://openalex.org/S42286584","display_name":"Journal of Complexity","issn_l":"0885-064X","issn":["0885-064X","1090-2708"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complexity","raw_type":"journal-article"},"type":"article","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/A5055561917","display_name":"D. V. Chudnovsky","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D.V Chudnovsky","raw_affiliation_strings":["Department of Mathematics, Columbia University, New York, New York 10027 , USA","Department of Mathematics, Columbia University, New York, New York 10027, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Columbia University, New York, New York 10027 , USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Department of Mathematics, Columbia University, New York, New York 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037689775","display_name":"G. V. Chudnovsky","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G.V Chudnovsky","raw_affiliation_strings":["Department of Mathematics, Columbia University, New York, New York 10027 , USA","Department of Mathematics, Columbia University, New York, New York 10027, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Columbia University, New York, New York 10027 , USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Department of Mathematics, Columbia University, New York, New York 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055561917"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":null,"fwci":2.3165,"has_fulltext":false,"cited_by_count":88,"citation_normalized_percentile":{"value":0.90254314,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"4","issue":"4","first_page":"285","last_page":"316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9976000189781189,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.834234893321991},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.8300818204879761},{"id":"https://openalex.org/keywords/strassen-algorithm","display_name":"Strassen algorithm","score":0.7454705834388733},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5403483510017395},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5110503435134888},{"id":"https://openalex.org/keywords/algebraic-cycle","display_name":"Algebraic cycle","score":0.4864199161529541},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.4787434935569763},{"id":"https://openalex.org/keywords/algebraic-curve","display_name":"Algebraic curve","score":0.47818997502326965},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.4349290728569031},{"id":"https://openalex.org/keywords/real-algebraic-geometry","display_name":"Real algebraic geometry","score":0.43219584226608276},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41425931453704834},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40436962246894836},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3759259283542633},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.20936357975006104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08778712153434753},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08379185199737549}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.834234893321991},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.8300818204879761},{"id":"https://openalex.org/C39096654","wikidata":"https://www.wikidata.org/wiki/Q728507","display_name":"Strassen algorithm","level":4,"score":0.7454705834388733},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5403483510017395},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5110503435134888},{"id":"https://openalex.org/C199793520","wikidata":"https://www.wikidata.org/wiki/Q4723996","display_name":"Algebraic cycle","level":3,"score":0.4864199161529541},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4787434935569763},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.47818997502326965},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.4349290728569031},{"id":"https://openalex.org/C2731732","wikidata":"https://www.wikidata.org/wiki/Q7301119","display_name":"Real algebraic geometry","level":3,"score":0.43219584226608276},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41425931453704834},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40436962246894836},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3759259283542633},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.20936357975006104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08778712153434753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08379185199737549},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0885-064x(88)90012-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0885-064x(88)90012-x","pdf_url":null,"source":{"id":"https://openalex.org/S42286584","display_name":"Journal of Complexity","issn_l":"0885-064X","issn":["0885-064X","1090-2708"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1484543240","https://openalex.org/W1487564550","https://openalex.org/W1559501994","https://openalex.org/W1606480398","https://openalex.org/W1964710096","https://openalex.org/W1965965675","https://openalex.org/W1966394702","https://openalex.org/W1976727029","https://openalex.org/W1985896262","https://openalex.org/W1987741783","https://openalex.org/W2003177806","https://openalex.org/W2008085146","https://openalex.org/W2010537260","https://openalex.org/W2032765816","https://openalex.org/W2038162974","https://openalex.org/W2053839977","https://openalex.org/W2062943115","https://openalex.org/W2069448237","https://openalex.org/W2083368929","https://openalex.org/W2085027135","https://openalex.org/W2088804960","https://openalex.org/W2109084006","https://openalex.org/W2114852202","https://openalex.org/W2135287528","https://openalex.org/W2158359807","https://openalex.org/W2587196216","https://openalex.org/W2807988286","https://openalex.org/W4210296975","https://openalex.org/W4296980820","https://openalex.org/W6633516641","https://openalex.org/W6641533042","https://openalex.org/W6671765486","https://openalex.org/W6732947733"],"related_works":["https://openalex.org/W2104494563","https://openalex.org/W2039329794","https://openalex.org/W2076085433","https://openalex.org/W4302340261","https://openalex.org/W1966290027","https://openalex.org/W2952227937","https://openalex.org/W2993794149","https://openalex.org/W2184570656","https://openalex.org/W816273566","https://openalex.org/W2242227085"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2025-10-10T00:00:00"}
