{"id":"https://openalex.org/W1988660762","doi":"https://doi.org/10.1145/1576702.1576732","title":"High order derivatives and decomposition of multivariate polynomials","display_name":"High order derivatives and decomposition of multivariate polynomials","publication_year":2009,"publication_date":"2009-07-28","ids":{"openalex":"https://openalex.org/W1988660762","doi":"https://doi.org/10.1145/1576702.1576732","mag":"1988660762"},"language":"en","primary_location":{"id":"doi:10.1145/1576702.1576732","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1576702.1576732","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"},"type":"preprint","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/A5107405594","display_name":"Jean\u2010Charles Faug\u00e8re","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Charles Faug\u00e8re","raw_affiliation_strings":["LIP6/INRIA, Paris, France","LIP6, INRIA, Paris, France"],"affiliations":[{"raw_affiliation_string":"LIP6/INRIA, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"LIP6, INRIA, Paris, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109853693","display_name":"Ludovic Perret","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ludovic Perret","raw_affiliation_strings":["LIP6/INRIA, Paris, France","LIP6, INRIA, Paris, France"],"affiliations":[{"raw_affiliation_string":"LIP6/INRIA, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"LIP6, INRIA, Paris, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5107405594"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":1.67076877,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.86357547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"207","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.994700014591217,"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":0.989799976348877,"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/decomposition","display_name":"Decomposition","score":0.596933901309967},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5345531702041626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4938972592353821},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4750671088695526},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44655975699424744},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44409266114234924},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.43398475646972656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39397597312927246},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3884204626083374},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3569931089878082},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3287566900253296},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24373334646224976},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.23415637016296387},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20837676525115967}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.596933901309967},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5345531702041626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4938972592353821},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4750671088695526},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44655975699424744},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44409266114234924},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.43398475646972656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39397597312927246},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3884204626083374},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3569931089878082},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3287566900253296},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24373334646224976},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.23415637016296387},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20837676525115967},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1576702.1576732","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1576702.1576732","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01294701v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01294701","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC '09: the 2009 international symposium on Symbolic and algebraic computation, Jul 2009, Seoul, South Korea. pp.207-214, &#x27E8;10.1145/1576702.1576732&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W64656188","https://openalex.org/W177939357","https://openalex.org/W1481263923","https://openalex.org/W1518341038","https://openalex.org/W1564055510","https://openalex.org/W1568428267","https://openalex.org/W1911562251","https://openalex.org/W1933777509","https://openalex.org/W1986983950","https://openalex.org/W1987872599","https://openalex.org/W2002352305","https://openalex.org/W2004746351","https://openalex.org/W2016652508","https://openalex.org/W2029317328","https://openalex.org/W2034193857","https://openalex.org/W2038345254","https://openalex.org/W2063911803","https://openalex.org/W2063927631","https://openalex.org/W2087154100","https://openalex.org/W2087404473","https://openalex.org/W2097120215","https://openalex.org/W2112271215","https://openalex.org/W2113186437","https://openalex.org/W2116765137","https://openalex.org/W2140702311","https://openalex.org/W2163155542","https://openalex.org/W2165225265","https://openalex.org/W2955705967","https://openalex.org/W6659228947","https://openalex.org/W6674783132","https://openalex.org/W6683831528"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2399035783","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W3161230432","https://openalex.org/W4300101996","https://openalex.org/W2165950148","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W4367190712"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
