{"id":"https://openalex.org/W2588458521","doi":"https://doi.org/10.1007/s12095-017-0213-1","title":"On the irreducibility of the hyperplane sections of Fermat varieties in \u2119 3 $\\mathbb {P}^{3}$ in characteristic 2. II","display_name":"On the irreducibility of the hyperplane sections of Fermat varieties in \u2119 3 $\\mathbb {P}^{3}$ in characteristic 2. II","publication_year":2017,"publication_date":"2017-02-14","ids":{"openalex":"https://openalex.org/W2588458521","doi":"https://doi.org/10.1007/s12095-017-0213-1","mag":"2588458521"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-017-0213-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-017-0213-1","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"Cryptography and Communications","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/A5019843612","display_name":"\u00c9ric F\u00e9rard","orcid":null},"institutions":[{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]},{"id":"https://openalex.org/I86908984","display_name":"University of French Polynesia","ror":"https://ror.org/03ay59x86","country_code":"PF","type":"education","lineage":["https://openalex.org/I86908984"]}],"countries":["FR","PF"],"is_corresponding":true,"raw_author_name":"Eric F\u00e9rard","raw_affiliation_strings":["\u00c9quipe GAATI, Universit\u00e9 de la Polyn\u00e9sie Fran\u00e7aise, Polyn\u00e9sie Fran\u00e7aise, France","Laboratoire de G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l'Information"],"affiliations":[{"raw_affiliation_string":"\u00c9quipe GAATI, Universit\u00e9 de la Polyn\u00e9sie Fran\u00e7aise, Polyn\u00e9sie Fran\u00e7aise, France","institution_ids":["https://openalex.org/I86908984"]},{"raw_affiliation_string":"Laboratoire de G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l'Information","institution_ids":["https://openalex.org/I4210102686"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019843612"],"corresponding_institution_ids":["https://openalex.org/I4210102686","https://openalex.org/I86908984"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.01361393,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"9","issue":"6","first_page":"749","last_page":"767"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9939000010490417,"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":0.9509000182151794,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/irreducibility","display_name":"Irreducibility","score":0.8387871980667114},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.7892469167709351},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7141485810279846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6930243372917175},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6822738647460938},{"id":"https://openalex.org/keywords/fermats-last-theorem","display_name":"Fermat's Last Theorem","score":0.6027258038520813},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5739657282829285},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41757622361183167},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14347869157791138},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05572468042373657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.043226271867752075}],"concepts":[{"id":"https://openalex.org/C2776823524","wikidata":"https://www.wikidata.org/wiki/Q6073561","display_name":"Irreducibility","level":2,"score":0.8387871980667114},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7892469167709351},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7141485810279846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6930243372917175},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6822738647460938},{"id":"https://openalex.org/C87670640","wikidata":"https://www.wikidata.org/wiki/Q132469","display_name":"Fermat's Last Theorem","level":2,"score":0.6027258038520813},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5739657282829285},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41757622361183167},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14347869157791138},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05572468042373657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.043226271867752075},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s12095-017-0213-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-017-0213-1","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"Cryptography and Communications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03417811v1","is_oa":false,"landing_page_url":"https://upf.hal.science/hal-03417811","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2017, 9 (6), pp.749-767. &#x27E8;10.1007/s12095-017-0213-1&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1528065150","https://openalex.org/W1532126587","https://openalex.org/W1554932142","https://openalex.org/W1587687098","https://openalex.org/W1600014270","https://openalex.org/W1651889608","https://openalex.org/W1837830568","https://openalex.org/W1976677460","https://openalex.org/W1977206724","https://openalex.org/W1984063453","https://openalex.org/W2001831617","https://openalex.org/W2010858313","https://openalex.org/W2014009849","https://openalex.org/W2016744051","https://openalex.org/W2097345111","https://openalex.org/W2149930098","https://openalex.org/W2156979688","https://openalex.org/W2171663193","https://openalex.org/W2327483274","https://openalex.org/W2328598177","https://openalex.org/W2334890234","https://openalex.org/W2405979924","https://openalex.org/W2798810127","https://openalex.org/W2949945582","https://openalex.org/W2963192837","https://openalex.org/W3002753196","https://openalex.org/W4213002315","https://openalex.org/W4232073203"],"related_works":["https://openalex.org/W1630580488","https://openalex.org/W2007170860","https://openalex.org/W4319349750","https://openalex.org/W2951407429","https://openalex.org/W4246385323","https://openalex.org/W2145139444","https://openalex.org/W4383993686","https://openalex.org/W4379981171","https://openalex.org/W2418697808","https://openalex.org/W4283588411"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
