{"id":"https://openalex.org/W4406147656","doi":"https://doi.org/10.1137/1.9781611978322.90","title":"Solving Polynomial Equations Over Finite Fields","display_name":"Solving Polynomial Equations Over Finite Fields","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4406147656","doi":"https://doi.org/10.1137/1.9781611978322.90"},"language":"en","primary_location":{"id":"doi:10.1137/1.9781611978322.90","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611978322.90","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)","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/A5052689442","display_name":"Holger Dell","orcid":"https://orcid.org/0000-0001-8955-0786"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Holger Dell","raw_affiliation_strings":["Goethe University Frankfurt, Germany; IT University of Copenhagen and Basic Algorithms Research Copenhagen (BARC), Denmark"],"affiliations":[{"raw_affiliation_string":"Goethe University Frankfurt, Germany; IT University of Copenhagen and Basic Algorithms Research Copenhagen (BARC), Denmark","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074189902","display_name":"Anselm Haak","orcid":"https://orcid.org/0000-0003-1031-5922"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anselm Haak","raw_affiliation_strings":["Universit\u00e4t Paderborn, Germany"],"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114619967","display_name":"Melvin Kallmayer","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Melvin Kallmayer","raw_affiliation_strings":["Goethe University Frankfurt, Germany"],"affiliations":[{"raw_affiliation_string":"Goethe University Frankfurt, Germany","institution_ids":["https://openalex.org/I114090438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114619968","display_name":"Leo Wennmann","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leo Wennmann","raw_affiliation_strings":["Maastricht University, Netherlands. Supported by Dutch Research Council (NWO) project \u201cThe Twilight Zone of Efficiency: Optimality of Quasi-Polynomial Time Algorithms\u201d [grant number OCEN.W.21.268]"],"affiliations":[{"raw_affiliation_string":"Maastricht University, Netherlands. Supported by Dutch Research Council (NWO) project \u201cThe Twilight Zone of Efficiency: Optimality of Quasi-Polynomial Time Algorithms\u201d [grant number OCEN.W.21.268]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5052689442"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01783024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2779","last_page":"2803"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9585000276565552,"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":0.9585000276565552,"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/polynomial","display_name":"Polynomial","score":0.5765953063964844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5406413078308105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43209919333457947},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36886027455329895}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5765953063964844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5406413078308105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43209919333457947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36886027455329895}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1.9781611978322.90","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611978322.90","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W91521151"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,25],"randomized":[3],"algorithm":[4,53,100,105],"for":[5,54,81,106,119],"solving":[6],"low-degree":[7],"polynomial":[8],"equation":[9],"systems":[10],"over":[11,84],"finite":[12,58,85],"fields":[13,86],"faster":[14,111],"than":[15,112],"exhaustive":[16],"search.":[17],"In":[18,48],"order":[19],"to":[20,56],"do":[21],"so,":[22],"we":[23,50,71],"follow":[24],"line":[26],"of":[27,65,98,103,115],"work":[28],"by":[29,87],"Lokshtanov,":[30],"Paturi,":[31],"Tamaki,":[32],"Williams,":[33,69],"and":[34,40,44,68,70,78,91,108],"Yu":[35],"(SODA":[36,46],"2017),":[37],"Bj\u00f6rklund,":[38,66],"Kaski,":[39,67],"Williams":[41],"(ICALP":[42],"2019),":[43],"Dinur":[45],"2021).":[47],"particular,":[49],"generalize":[51],"Dinur\u2019s":[52,104],"\ud835\udd3d2":[55,107],"all":[57],"fields,":[59],"in":[60],"particular":[61],"the":[62,113],"\u201csymbolic":[63],"interpolation\u201d":[64],"use":[72],"an":[73],"efficient":[74],"trimmed":[75],"multipoint":[76],"evaluation":[77],"interpolation":[79],"procedure":[80],"multivariate":[82],"polynomials":[83],"Van":[88],"der":[89],"Hoeven":[90],"Schost":[92],"(AAECC":[93],"2013).":[94],"The":[95],"running":[96],"time":[97],"our":[99],"matches":[101],"that":[102],"is":[109],"significantly":[110],"one":[114],"Lokshtanov":[116],"et":[117],"al.":[118],"q":[120],">":[121],"2.":[122]},"counts_by_year":[],"updated_date":"2025-12-19T19:40:27.379048","created_date":"2025-10-10T00:00:00"}
