{"id":"https://openalex.org/W2032013893","doi":"https://doi.org/10.1016/0304-3975(93)90022-l","title":"The computational efficacy of finite-field arithmetic","display_name":"The computational efficacy of finite-field arithmetic","publication_year":1993,"publication_date":"1993-05-01","ids":{"openalex":"https://openalex.org/W2032013893","doi":"https://doi.org/10.1016/0304-3975(93)90022-l","mag":"2032013893"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(93)90022-l","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(93)90022-l","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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/A5025066853","display_name":"Carl Sturtivant","orcid":"https://orcid.org/0000-0003-1528-4504"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Carl Sturtivant","raw_affiliation_strings":["University of Minnesota , Minneapolis, Mn"],"affiliations":[{"raw_affiliation_string":"University of Minnesota , Minneapolis, Mn","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016748313","display_name":"Gudmund Skovbjerg Frandsen","orcid":null},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Gudmund Skovbjerg Frandsen","raw_affiliation_strings":["Aarhus University, Aarhus C, Denmark"],"affiliations":[{"raw_affiliation_string":"Aarhus University, Aarhus C, Denmark","institution_ids":["https://openalex.org/I204337017"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025066853"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.14194571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"112","issue":"2","first_page":"291","last_page":"309"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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":0.9994999766349792,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9990000128746033,"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/T10237","display_name":"Cryptography and Data Security","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7279837131500244},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6814991235733032},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6457148194313049},{"id":"https://openalex.org/keywords/arithmetic-circuit-complexity","display_name":"Arithmetic circuit complexity","score":0.5919337868690491},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.5702111721038818},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5638977289199829},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.5569270253181458},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.5240707397460938},{"id":"https://openalex.org/keywords/finite-field-arithmetic","display_name":"Finite field arithmetic","score":0.5209806561470032},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.511881947517395},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4996671676635742},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4790455102920532},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4695594608783722},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.42487823963165283},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40139907598495483},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.2298220694065094},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16003885865211487},{"id":"https://openalex.org/keywords/arbitrary-precision-arithmetic","display_name":"Arbitrary-precision arithmetic","score":0.12345141172409058},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07700321078300476}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7279837131500244},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6814991235733032},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6457148194313049},{"id":"https://openalex.org/C155920423","wikidata":"https://www.wikidata.org/wiki/Q4791120","display_name":"Arithmetic circuit complexity","level":3,"score":0.5919337868690491},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.5702111721038818},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5638977289199829},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.5569270253181458},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.5240707397460938},{"id":"https://openalex.org/C189178079","wikidata":"https://www.wikidata.org/wiki/Q5450398","display_name":"Finite field arithmetic","level":3,"score":0.5209806561470032},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.511881947517395},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4996671676635742},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4790455102920532},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4695594608783722},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.42487823963165283},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40139907598495483},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.2298220694065094},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16003885865211487},{"id":"https://openalex.org/C83581934","wikidata":"https://www.wikidata.org/wiki/Q527381","display_name":"Arbitrary-precision arithmetic","level":2,"score":0.12345141172409058},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07700321078300476},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0304-3975(93)90022-l","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(93)90022-l","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/4794fb36-00dd-47bc-a704-780dc90693c7","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/4794fb36-00dd-47bc-a704-780dc90693c7","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sturtivant, C & Frandsen, G S 1993, 'The computational efficacy of finite-field arithmetic', Theoretical Computer Science, vol. 112, no. 2, pp. 291-309. https://doi.org/10.1016/0304-3975(93)90022-L","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W65024914","https://openalex.org/W610691280","https://openalex.org/W1490994218","https://openalex.org/W1662706126","https://openalex.org/W2009994177","https://openalex.org/W2070678975","https://openalex.org/W2077942962","https://openalex.org/W2579418599","https://openalex.org/W2732251371","https://openalex.org/W6629255983","https://openalex.org/W6668336749"],"related_works":["https://openalex.org/W2131112823","https://openalex.org/W2145527206","https://openalex.org/W2075882682","https://openalex.org/W1866279346","https://openalex.org/W2068275484","https://openalex.org/W247221977","https://openalex.org/W2034539423","https://openalex.org/W2032013893","https://openalex.org/W2341967150","https://openalex.org/W2014852889"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
