{"id":"https://openalex.org/W2964158194","doi":"https://doi.org/10.1109/isit.2014.6875150","title":"New classes of quadratic bent functions in polynomial forms","display_name":"New classes of quadratic bent functions in polynomial forms","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2964158194","doi":"https://doi.org/10.1109/isit.2014.6875150","mag":"2964158194"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2014.6875150","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875150","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","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/A5101715026","display_name":"Baofeng Wu","orcid":"https://orcid.org/0000-0002-6567-9216"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Baofeng Wu","raw_affiliation_strings":["State Key Laboratory of Information Security, Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Information Security, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101715026"],"corresponding_institution_ids":["https://openalex.org/I19820366"],"apc_list":null,"apc_paid":null,"fwci":1.227,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8624225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"53","issue":null,"first_page":"1832","last_page":"1836"},"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":0.9940000176429749,"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":0.9797000288963318,"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/finite-field","display_name":"Finite field","score":0.7148067355155945},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7140673995018005},{"id":"https://openalex.org/keywords/bent-molecular-geometry","display_name":"Bent molecular geometry","score":0.6977038383483887},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.6807605028152466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5910763740539551},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5636561512947083},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5624907612800598},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.518354058265686},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.4901622235774994},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46441027522087097},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4399574100971222},{"id":"https://openalex.org/keywords/bent-function","display_name":"Bent function","score":0.429151326417923},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4273050129413605},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3540264368057251},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20433756709098816},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.17836278676986694},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.144101083278656},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09235891699790955},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08792704343795776}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7148067355155945},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7140673995018005},{"id":"https://openalex.org/C138211643","wikidata":"https://www.wikidata.org/wiki/Q675211","display_name":"Bent molecular geometry","level":2,"score":0.6977038383483887},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.6807605028152466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5910763740539551},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5636561512947083},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5624907612800598},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.518354058265686},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4901622235774994},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46441027522087097},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4399574100971222},{"id":"https://openalex.org/C84185955","wikidata":"https://www.wikidata.org/wiki/Q4890350","display_name":"Bent function","level":3,"score":0.429151326417923},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4273050129413605},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3540264368057251},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20433756709098816},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.17836278676986694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.144101083278656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09235891699790955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08792704343795776},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2014.6875150","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875150","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1710994648","https://openalex.org/W1990226699","https://openalex.org/W2024483577","https://openalex.org/W2090331763","https://openalex.org/W2090432705","https://openalex.org/W2147608537","https://openalex.org/W2331005958","https://openalex.org/W2504274129","https://openalex.org/W2963397145","https://openalex.org/W3029047974","https://openalex.org/W6777729420"],"related_works":["https://openalex.org/W1488498670","https://openalex.org/W2003667685","https://openalex.org/W2112446992","https://openalex.org/W2793451806","https://openalex.org/W2952664122","https://openalex.org/W2038000570","https://openalex.org/W4299603069","https://openalex.org/W4282823798","https://openalex.org/W2363394648","https://openalex.org/W3091377338"],"abstract_inverted_index":{"We":[0],"propose":[1],"new":[2],"classes":[3],"of":[4,12,18,25,38,48],"quadratic":[5,66],"bent":[6,67],"functions":[7,27],"in":[8,50,64],"polynomial":[9],"forms,":[10],"coefficients":[11],"which":[13],"are":[14,44,62],"from":[15],"extension":[16],"fields":[17,37,61],"F":[19],"<sub":[20],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[22],".":[23],"Bentness":[24],"these":[26],"is":[28,54],"based":[29],"on":[30],"certain":[31],"linearized":[32],"permutation":[33,42],"polynomials":[34],"over":[35,59],"finite":[36,60],"even":[39],"characteristic,":[40],"whose":[41],"properties":[43],"confirmed":[45],"by":[46],"virtue":[47],"arithmetics":[49],"skew-polynomial":[51],"rings.":[52],"This":[53],"the":[55],"first":[56],"time":[57],"skew-polynomials":[58],"used":[63],"studying":[65],"functions.":[68]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}