{"id":"https://openalex.org/W3107664213","doi":"https://doi.org/10.1007/s00200-020-00470-8","title":"Division polynomials on the Hessian model of elliptic curves","display_name":"Division polynomials on the Hessian model of elliptic curves","publication_year":2020,"publication_date":"2020-11-24","ids":{"openalex":"https://openalex.org/W3107664213","doi":"https://doi.org/10.1007/s00200-020-00470-8","mag":"3107664213"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-020-00470-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00470-8","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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/A5043075298","display_name":"Perez Broon Fouazou Lontouo","orcid":"https://orcid.org/0000-0001-6386-789X"},"institutions":[{"id":"https://openalex.org/I213072177","display_name":"University of Maroua","ror":"https://ror.org/051sa4h84","country_code":"CM","type":"education","lineage":["https://openalex.org/I213072177"]}],"countries":["CM"],"is_corresponding":true,"raw_author_name":"Perez Broon Fouazou Lontouo","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Sciences, The University of Maroua, P.O. Box 814, Maroua, Cameroon"],"raw_orcid":"https://orcid.org/0000-0001-6386-789X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Sciences, The University of Maroua, P.O. Box 814, Maroua, Cameroon","institution_ids":["https://openalex.org/I213072177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052689003","display_name":"Emmanuel Fouotsa","orcid":"https://orcid.org/0000-0002-7729-0419"},"institutions":[{"id":"https://openalex.org/I263774594","display_name":"University of Bamenda","ror":"https://ror.org/031ahrf94","country_code":"CM","type":"education","lineage":["https://openalex.org/I263774594"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Emmanuel Fouotsa","raw_affiliation_strings":["Department of Mathematics, Higher Teacher Training College, The University of Bamenda, P.O. Box 37, Bambili, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Higher Teacher Training College, The University of Bamenda, P.O. Box 37, Bambili, Cameroon","institution_ids":["https://openalex.org/I263774594"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063544715","display_name":"Daniel Tieudjo","orcid":"https://orcid.org/0009-0008-2647-7428"},"institutions":[{"id":"https://openalex.org/I59196294","display_name":"University of Ngaound\u00e9r\u00e9","ror":"https://ror.org/03gq1d339","country_code":"CM","type":"education","lineage":["https://openalex.org/I59196294"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Daniel Tieudjo","raw_affiliation_strings":["ENSAI, The University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENSAI, The University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon","institution_ids":["https://openalex.org/I59196294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043075298"],"corresponding_institution_ids":["https://openalex.org/I213072177"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24671101,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"1","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9933000206947327,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9850999712944031,"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/hessian-matrix","display_name":"Hessian matrix","score":0.8028724193572998},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.7736555337905884},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5482372641563416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5313580632209778},{"id":"https://openalex.org/keywords/division-polynomials","display_name":"Division polynomials","score":0.48702889680862427},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.34625500440597534},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3426858186721802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2426033616065979},{"id":"https://openalex.org/keywords/quarter-period","display_name":"Quarter period","score":0.165248304605484},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16027194261550903}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8028724193572998},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.7736555337905884},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5482372641563416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5313580632209778},{"id":"https://openalex.org/C87905105","wikidata":"https://www.wikidata.org/wiki/Q5284582","display_name":"Division polynomials","level":5,"score":0.48702889680862427},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.34625500440597534},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3426858186721802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2426033616065979},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.165248304605484},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16027194261550903}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-020-00470-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00470-8","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"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/W1508480110","https://openalex.org/W1595728311","https://openalex.org/W1601407566","https://openalex.org/W1642599940","https://openalex.org/W1751154003","https://openalex.org/W1838435525","https://openalex.org/W1995234824","https://openalex.org/W2032150193","https://openalex.org/W2038984368","https://openalex.org/W2053293085","https://openalex.org/W2063647700","https://openalex.org/W2075252632","https://openalex.org/W2132992415","https://openalex.org/W2137046350","https://openalex.org/W2161368994","https://openalex.org/W2288775829","https://openalex.org/W2328813493","https://openalex.org/W2398794316","https://openalex.org/W2411861508","https://openalex.org/W2624119200","https://openalex.org/W2624962717","https://openalex.org/W2809474924","https://openalex.org/W2897473919","https://openalex.org/W2962707242","https://openalex.org/W2963707516","https://openalex.org/W3003473757","https://openalex.org/W3101312406","https://openalex.org/W3103961203","https://openalex.org/W3106021622","https://openalex.org/W3149270581","https://openalex.org/W4243189831"],"related_works":["https://openalex.org/W74147110","https://openalex.org/W2548082687","https://openalex.org/W2012248546","https://openalex.org/W3172172454","https://openalex.org/W2964131781","https://openalex.org/W1972565281","https://openalex.org/W1594576814","https://openalex.org/W140396036","https://openalex.org/W4287990591","https://openalex.org/W2963884818"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}