{"id":"https://openalex.org/W2975490175","doi":"https://doi.org/10.1109/isit.2019.8849339","title":"On Isotopic Shift Construction for Planar Functions","display_name":"On Isotopic Shift Construction for Planar Functions","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2975490175","doi":"https://doi.org/10.1109/isit.2019.8849339","mag":"2975490175"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849339","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849339","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5035047909","display_name":"Lilya Budaghyan","orcid":null},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Lilya Budaghyan","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, NORWAY"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, NORWAY","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059655203","display_name":"Marco Calderini","orcid":"https://orcid.org/0000-0002-6817-3421"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Marco Calderini","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, NORWAY"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, NORWAY","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088687711","display_name":"Claude Carlet","orcid":"https://orcid.org/0000-0002-6118-7927"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Claude Carlet","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, NORWAY"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, NORWAY","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075467034","display_name":"Robert S. Coulter","orcid":"https://orcid.org/0000-0002-1546-8779"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Coulter","raw_affiliation_strings":["University of Delaware, Newark, Delaware, USA"],"affiliations":[{"raw_affiliation_string":"University of Delaware, Newark, Delaware, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037042518","display_name":"Ir\u00e8ne Villa","orcid":"https://orcid.org/0000-0001-6381-4712"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Irene Villa","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, NORWAY"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, NORWAY","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5035047909"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":null,"apc_paid":null,"fwci":0.2894,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.67094727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2962","last_page":"2966"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/planarity-testing","display_name":"Planarity testing","score":0.8593116998672485},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.8566757440567017},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.7567703723907471},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.540486216545105},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.4630259573459625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.449917733669281},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42108169198036194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24035105109214783},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2108675241470337},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1822831928730011}],"concepts":[{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.8593116998672485},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.8566757440567017},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7567703723907471},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.540486216545105},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.4630259573459625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.449917733669281},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42108169198036194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24035105109214783},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2108675241470337},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1822831928730011},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2019.8849339","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849339","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:bora.uib.no:1956/23270","is_oa":false,"landing_page_url":"http://hdl.handle.net/1956/23270","pdf_url":null,"source":{"id":"https://openalex.org/S4306400085","display_name":"Bergen Open Research Archive (BORA) (University of Bergen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4432739","host_organization_name":"University of Bergen","host_organization_lineage":["https://openalex.org/I4432739"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:iris.unitn.it:11572/328852","is_oa":false,"landing_page_url":"http://hdl.handle.net/11572/328852","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W6553417","https://openalex.org/W205577776","https://openalex.org/W1563907129","https://openalex.org/W1583570124","https://openalex.org/W1629301835","https://openalex.org/W1885849680","https://openalex.org/W1965411348","https://openalex.org/W2000906083","https://openalex.org/W2008400548","https://openalex.org/W2010743782","https://openalex.org/W2024156986","https://openalex.org/W2025590616","https://openalex.org/W2025927713","https://openalex.org/W2063786675","https://openalex.org/W2083617777","https://openalex.org/W2100083939","https://openalex.org/W2113845537","https://openalex.org/W2139952589","https://openalex.org/W2169047582","https://openalex.org/W3007804260","https://openalex.org/W4246088357","https://openalex.org/W6764199053"],"related_works":["https://openalex.org/W4288090301","https://openalex.org/W2982185603","https://openalex.org/W1978684236","https://openalex.org/W2164938550","https://openalex.org/W3003614666","https://openalex.org/W2963573247","https://openalex.org/W1510038041","https://openalex.org/W2499765358","https://openalex.org/W2349728712","https://openalex.org/W2994711175"],"abstract_inverted_index":{"CCZ-equivalence":[0],"is":[1,30],"the":[2,21,54,67,73,84,98,101],"most":[3],"general":[4,32],"currently":[5],"known":[6,85],"equivalence":[7,29],"relation":[8],"for":[9,20,39,72,108,113],"functions":[10,27,41,87,110],"over":[11,42],"finite":[12],"fields":[13,43],"preserving":[14],"planarity":[15],"and":[16],"APN":[17,40,109],"properties.":[18],"However,":[19],"particular":[22],"case":[23,74],"of":[24,44,56,66,69,75,83,92,100,103],"quadratic":[25],"planar":[26,76,86,114],"isotopic":[28,48,57,70,90,104],"more":[31],"than":[33],"CCZ-equivalence.":[34],"A":[35],"recent":[36],"construction":[37],"method":[38],"even":[45],"characteristic,":[46],"so-called":[47],"shift":[49,71,105],"construction,":[50],"was":[51],"instigated":[52],"by":[53],"notion":[55,102],"equivalence.":[58],"In":[59],"this":[60],"paper":[61],"we":[62],"discuss":[63],"possible":[64],"applications":[65],"idea":[68],"functions.":[77],"We":[78],"show":[79],"that,":[80],"surprisingly,":[81],"some":[82],"are":[88],"actually":[89],"shifts":[91],"each":[93],"other.":[94],"This":[95],"confirms":[96],"practically":[97],"pertinence":[99],"not":[106],"only":[107],"but":[111],"also":[112],"maps.":[115]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"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"}