{"id":"https://openalex.org/W1546554240","doi":"https://doi.org/10.1007/11682462_8","title":"A New GCD Algorithm for Quadratic Number Rings with Unique Factorization","display_name":"A New GCD Algorithm for Quadratic Number Rings with Unique Factorization","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1546554240","doi":"https://doi.org/10.1007/11682462_8","mag":"1546554240"},"language":"en","primary_location":{"id":"doi:10.1007/11682462_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11682462_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5089058934","display_name":"Saurabh Agarwal","orcid":"https://orcid.org/0000-0003-3836-2595"},"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":true,"raw_author_name":"Saurabh Agarwal","raw_affiliation_strings":["BRICS, Department of Computer Science, University of Aarhus, IT-Parken, \u00c5bogade 34, DK-8200, Aarhus N, Denmark"],"affiliations":[{"raw_affiliation_string":"BRICS, Department of Computer Science, University of Aarhus, IT-Parken, \u00c5bogade 34, DK-8200, Aarhus N, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"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":["BRICS, Department of Computer Science, University of Aarhus, IT-Parken, \u00c5bogade 34, DK-8200, Aarhus N, Denmark"],"affiliations":[{"raw_affiliation_string":"BRICS, Department of Computer Science, University of Aarhus, IT-Parken, \u00c5bogade 34, DK-8200, Aarhus N, Denmark","institution_ids":["https://openalex.org/I204337017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089058934"],"corresponding_institution_ids":["https://openalex.org/I204337017"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10698154,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"30","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9932000041007996,"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":0.9932000041007996,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9907000064849854,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9690999984741211,"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/euclidean-algorithm","display_name":"Euclidean algorithm","score":0.8094028234481812},{"id":"https://openalex.org/keywords/greatest-common-divisor","display_name":"Greatest common divisor","score":0.6118893623352051},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5624130964279175},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5384831428527832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5087743401527405},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49580153822898865},{"id":"https://openalex.org/keywords/discriminant","display_name":"Discriminant","score":0.49259644746780396},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.49048563838005066},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48680540919303894},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4785478711128235},{"id":"https://openalex.org/keywords/binary-quadratic-form","display_name":"Binary quadratic form","score":0.4227718114852905},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40675243735313416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3346066474914551},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.23737910389900208},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12840873003005981}],"concepts":[{"id":"https://openalex.org/C98371066","wikidata":"https://www.wikidata.org/wiki/Q230848","display_name":"Euclidean algorithm","level":2,"score":0.8094028234481812},{"id":"https://openalex.org/C125257309","wikidata":"https://www.wikidata.org/wiki/Q131752","display_name":"Greatest common divisor","level":2,"score":0.6118893623352051},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5624130964279175},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5384831428527832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5087743401527405},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49580153822898865},{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.49259644746780396},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.49048563838005066},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48680540919303894},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4785478711128235},{"id":"https://openalex.org/C80695182","wikidata":"https://www.wikidata.org/wiki/Q864134","display_name":"Binary quadratic form","level":4,"score":0.4227718114852905},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40675243735313416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3346066474914551},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.23737910389900208},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12840873003005981},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11682462_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11682462_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:pure.atira.dk:publications/4d732400-2621-11dc-bee9-02004c4f4f50","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/4d732400-2621-11dc-bee9-02004c4f4f50","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Agarwal, S & Frandsen, G S 2006, A New GCD Algorithm for Quadratic Number Rings with Unique Factorization. in J R Correa, A Hevia & M A Kiwi (eds), LATIN 2006: Theoretical Informatics, Proceedings of 7th Latin American Symposium (Valdivia, Chile, March 20-24, 2006). Springer, Lecture Notes in Computer Science, vol. 3887, pp. 30-42, A New GCD Algorithm for Quadratic Number Rings with Unique Factorization, 17/12/2010. https://doi.org/10.1007/11682462_8","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W639706555","https://openalex.org/W1486771829","https://openalex.org/W1491152510","https://openalex.org/W1513227092","https://openalex.org/W1544858915","https://openalex.org/W1571785349","https://openalex.org/W1583935850","https://openalex.org/W1592261758","https://openalex.org/W1596400416","https://openalex.org/W1965555407","https://openalex.org/W2014355030","https://openalex.org/W2025525128","https://openalex.org/W2029377897","https://openalex.org/W2044036580","https://openalex.org/W2052806472","https://openalex.org/W2083368929","https://openalex.org/W2120223570","https://openalex.org/W2123923527","https://openalex.org/W2752853835","https://openalex.org/W2752908210","https://openalex.org/W3043060850","https://openalex.org/W4233185505","https://openalex.org/W4253984331","https://openalex.org/W4254660365","https://openalex.org/W4285719527","https://openalex.org/W4299827018"],"related_works":["https://openalex.org/W3047275406","https://openalex.org/W2115468732","https://openalex.org/W1993482309","https://openalex.org/W2510351432","https://openalex.org/W283968525","https://openalex.org/W1550016006","https://openalex.org/W4256203780","https://openalex.org/W2046600409","https://openalex.org/W2724936472","https://openalex.org/W2585841699"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
