{"id":"https://openalex.org/W2091858911","doi":"https://doi.org/10.1016/0020-0190(91)90234-9","title":"Circuits for computing the GCD of two polynomials over an algebraic number field","display_name":"Circuits for computing the GCD of two polynomials over an algebraic number field","publication_year":1991,"publication_date":"1991-05-01","ids":{"openalex":"https://openalex.org/W2091858911","doi":"https://doi.org/10.1016/0020-0190(91)90234-9","mag":"2091858911"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(91)90234-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(91)90234-9","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":"Information Processing Letters","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/A5022694274","display_name":"Lars Langemyr","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lars Langemyr","raw_affiliation_strings":["Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Auf dem Sand 13, W-7400 T\u00fcbingen, Federal Republic of Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Auf dem Sand 13, W-7400 T\u00fcbingen, Federal Republic of Germany","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022694274"],"corresponding_institution_ids":["https://openalex.org/I8087733"],"apc_list":{"value":2590,"currency":"USD","value_usd":2590},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27704836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"3","first_page":"129","last_page":"134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9988999962806702,"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/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"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":0.9983000159263611,"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/boolean-circuit","display_name":"Boolean circuit","score":0.6589213609695435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6312771439552307},{"id":"https://openalex.org/keywords/greatest-common-divisor","display_name":"Greatest common divisor","score":0.6064720153808594},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5815857648849487},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.5483690500259399},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.512302041053772},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5004255771636963},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4932250380516052},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.48199668526649475},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.4509146809577942},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.4501211941242218},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34534889459609985},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30767300724983215},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10387158393859863}],"concepts":[{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.6589213609695435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6312771439552307},{"id":"https://openalex.org/C125257309","wikidata":"https://www.wikidata.org/wiki/Q131752","display_name":"Greatest common divisor","level":2,"score":0.6064720153808594},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5815857648849487},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.5483690500259399},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.512302041053772},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5004255771636963},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4932250380516052},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.48199668526649475},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.4509146809577942},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.4501211941242218},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34534889459609985},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30767300724983215},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10387158393859863},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0020-0190(91)90234-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(91)90234-9","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":"Information Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1480319329","https://openalex.org/W1512709563","https://openalex.org/W1826129482","https://openalex.org/W1967644849","https://openalex.org/W2017205387","https://openalex.org/W2035284794","https://openalex.org/W2056352038","https://openalex.org/W2062881752","https://openalex.org/W2082002555","https://openalex.org/W2100279776","https://openalex.org/W2113097540","https://openalex.org/W2126466445","https://openalex.org/W2130130502","https://openalex.org/W4210445513","https://openalex.org/W6630635006","https://openalex.org/W6638529567","https://openalex.org/W6651306295","https://openalex.org/W7036767426"],"related_works":["https://openalex.org/W2516690985","https://openalex.org/W2728195892","https://openalex.org/W2055594799","https://openalex.org/W1976822807","https://openalex.org/W2611822924","https://openalex.org/W1991822629","https://openalex.org/W2150974517","https://openalex.org/W2063425181","https://openalex.org/W4248224315","https://openalex.org/W2106622045"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}