{"id":"https://openalex.org/W2612082303","doi":"https://doi.org/10.3934/amc.2017021","title":"Explicit constructions of bent functions from pseudo-planar functions","display_name":"Explicit constructions of bent functions from pseudo-planar functions","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2612082303","doi":"https://doi.org/10.3934/amc.2017021","mag":"2612082303"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2017021","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2017021","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/amc.2017021","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019241201","display_name":"Kanat Abdukhalikov","orcid":"https://orcid.org/0000-0003-0670-1361"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kanat Abdukhalikov","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5034752358","display_name":"Sihem Mesnager","orcid":"https://orcid.org/0000-0003-4008-2031"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"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/I48825208","display_name":"Universit\u00e9 Paris 8","ror":"https://ror.org/04wez5e68","country_code":"FR","type":"education","lineage":["https://openalex.org/I48825208"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sihem Mesnager","raw_affiliation_strings":["Department of Mathematics, University of Paris VIII and Paris XIII and T\u00e9l\u00e9com ParisTech, LAGA, UMR 7539, CNRS, Sorbonne Paris Cit\u00e9","Laboratoire Analyse, G\u00e9om\u00e9trie et Applications"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Paris VIII and Paris XIII and T\u00e9l\u00e9com ParisTech, LAGA, UMR 7539, CNRS, Sorbonne Paris Cit\u00e9","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590","https://openalex.org/I12356871","https://openalex.org/I4210091279","https://openalex.org/I48825208"]},{"raw_affiliation_string":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","institution_ids":["https://openalex.org/I4210102686"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019241201"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2077,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62243328,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"2","first_page":"293","last_page":"299"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9781000018119812,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9735999703407288,"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/bent-molecular-geometry","display_name":"Bent molecular geometry","score":0.9607937335968018},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9052426815032959},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.8518210649490356},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.6973394155502319},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.5103210806846619},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5012161731719971},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34494107961654663},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3323047161102295},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.039605677127838135},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.037762075662612915}],"concepts":[{"id":"https://openalex.org/C138211643","wikidata":"https://www.wikidata.org/wiki/Q675211","display_name":"Bent molecular geometry","level":2,"score":0.9607937335968018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9052426815032959},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.8518210649490356},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.6973394155502319},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.5103210806846619},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5012161731719971},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34494107961654663},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3323047161102295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.039605677127838135},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.037762075662612915},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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:10.3934/amc.2017021","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2017021","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03958932v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03958932","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":"Advances in Mathematics of Communications, 2017, 11 (2), pp.293-299. &#x27E8;10.3934/amc.2017021&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.3934/amc.2017021","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2017021","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2004502213","https://openalex.org/W2010016384","https://openalex.org/W2022152781","https://openalex.org/W2027609072","https://openalex.org/W2027797952","https://openalex.org/W2032232618","https://openalex.org/W2035641650","https://openalex.org/W2068180810","https://openalex.org/W2090432705","https://openalex.org/W2286164450","https://openalex.org/W2470422903","https://openalex.org/W3101764302","https://openalex.org/W3103665618","https://openalex.org/W4236140721","https://openalex.org/W4245633009"],"related_works":["https://openalex.org/W2335716720","https://openalex.org/W2071445534","https://openalex.org/W2329706164","https://openalex.org/W42610648","https://openalex.org/W4293565717","https://openalex.org/W2949764448","https://openalex.org/W4297068499","https://openalex.org/W95182217","https://openalex.org/W2381610553","https://openalex.org/W2004373419"],"abstract_inverted_index":{"We":[0],"investigate":[1],"explicit":[2],"constructions":[3,15],"of":[4,12,33],"bent":[5],"functions":[6,42],"which":[7,21],"are":[8,16,22],"linear":[9],"on":[10],"elements":[11],"spreads.":[13],"Our":[14],"obtained":[17],"from":[18],"symplectic":[19],"presemifields":[20,45],"associated":[23],"to":[24],"pseudo-planar":[25],"functions.":[26],"The":[27],"following":[28],"diagram":[29],"gives":[30],"an":[31],"indication":[32],"the":[34],"main":[35],"interconnections":[36],"arising":[37],"in":[38],"this":[39],"paper:":[40],"$pseudo-planar\\":[41],"\\longleftrightarrow\\":[43],"commutaive\\":[44],"\\longrightarrow":[46],"bent\\":[47],"functions$":[48]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
