{"id":"https://openalex.org/W2061710385","doi":"https://doi.org/10.1007/s12095-011-0044-4","title":"A character theoretic approach to planar functions","display_name":"A character theoretic approach to planar functions","publication_year":2011,"publication_date":"2011-05-24","ids":{"openalex":"https://openalex.org/W2061710385","doi":"https://doi.org/10.1007/s12095-011-0044-4","mag":"2061710385"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-011-0044-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-011-0044-4","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/A5013787536","display_name":"Alexander Pott","orcid":"https://orcid.org/0000-0002-1125-1003"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alexander Pott","raw_affiliation_strings":["Faculty of Mathematics, Otto-von-Guericke-University Magdeburg, 39106, Magdeburg, Germany","Faculty of Mathematics, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Otto-von-Guericke-University Magdeburg, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Faculty of Mathematics, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039613345","display_name":"Yue Zhou","orcid":"https://orcid.org/0000-0003-4134-4240"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]},{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN","DE"],"is_corresponding":false,"raw_author_name":"Yue Zhou","raw_affiliation_strings":["Department of Mathematics and System Sciences, Science College, National University of Defense Technology, 410073, Changsha, People\u2019s Republic of China","Faculty of Mathematics, Otto-von-Guericke-University Magdeburg, 39106, Magdeburg, Germany","Faculty of Mathematics, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany","Department of Mathematics and System Sciences, Science College, National University of Defense Technology, Changsha, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and System Sciences, Science College, National University of Defense Technology, 410073, Changsha, People\u2019s Republic of China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Faculty of Mathematics, Otto-von-Guericke-University Magdeburg, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Faculty of Mathematics, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Department of Mathematics and System Sciences, Science College, National University of Defense Technology, Changsha, People\u2019s Republic of China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013787536"],"corresponding_institution_ids":["https://openalex.org/I95793202"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.1061,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.92010339,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"3","issue":"4","first_page":"293","last_page":"300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9750999808311462,"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/planarity-testing","display_name":"Planarity testing","score":0.8529016375541687},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.7976912260055542},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.779373049736023},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6485130786895752},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6033390164375305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5195939540863037},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.45234501361846924},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4375932514667511},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36936861276626587},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2716843783855438},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11142340302467346},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09970337152481079}],"concepts":[{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.8529016375541687},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.7976912260055542},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.779373049736023},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6485130786895752},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6033390164375305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5195939540863037},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.45234501361846924},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4375932514667511},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36936861276626587},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2716843783855438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11142340302467346},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09970337152481079},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12095-011-0044-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-011-0044-4","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W6553417","https://openalex.org/W1488854702","https://openalex.org/W1523927998","https://openalex.org/W1556690101","https://openalex.org/W1563907129","https://openalex.org/W1829295197","https://openalex.org/W1965411348","https://openalex.org/W1977206724","https://openalex.org/W1988765753","https://openalex.org/W2000906083","https://openalex.org/W2008400548","https://openalex.org/W2021094554","https://openalex.org/W2022067542","https://openalex.org/W2025590616","https://openalex.org/W2063786675","https://openalex.org/W2083617777","https://openalex.org/W2092396566","https://openalex.org/W2097345111","https://openalex.org/W2104361349","https://openalex.org/W2138238405","https://openalex.org/W2154374104","https://openalex.org/W2163447078","https://openalex.org/W2173356534","https://openalex.org/W2506865871","https://openalex.org/W2611298788","https://openalex.org/W3043060850"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W1985050272","https://openalex.org/W3105615387","https://openalex.org/W2040076772","https://openalex.org/W4288643395","https://openalex.org/W2108284102","https://openalex.org/W2091592436","https://openalex.org/W1510038041","https://openalex.org/W4289827262","https://openalex.org/W2071456691"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}