{"id":"https://openalex.org/W2294377770","doi":"https://doi.org/10.1007/s10623-016-0177-8","title":"Fourier transforms and bent functions on faithful actions of finite abelian groups","display_name":"Fourier transforms and bent functions on faithful actions of finite abelian groups","publication_year":2016,"publication_date":"2016-01-23","ids":{"openalex":"https://openalex.org/W2294377770","doi":"https://doi.org/10.1007/s10623-016-0177-8","mag":"2294377770"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-016-0177-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-016-0177-8","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5006636942","display_name":"Yun Fan","orcid":"https://orcid.org/0000-0002-3155-4298"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun Fan","raw_affiliation_strings":["School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074116650","display_name":"Bangteng Xu","orcid":"https://orcid.org/0000-0001-8543-3128"},"institutions":[{"id":"https://openalex.org/I110325482","display_name":"Eastern Kentucky University","ror":"https://ror.org/012xks909","country_code":"US","type":"education","lineage":["https://openalex.org/I110325482"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bangteng Xu","raw_affiliation_strings":["Department of Mathematics & Statistics, Eastern Kentucky University, Richmond, KY, 40475, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, Eastern Kentucky University, Richmond, KY, 40475, USA","institution_ids":["https://openalex.org/I110325482"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074116650"],"corresponding_institution_ids":["https://openalex.org/I110325482"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8869,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.83395817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"82","issue":"3","first_page":"543","last_page":"558"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9916999936103821,"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/abelian-group","display_name":"Abelian group","score":0.7739758491516113},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6923723220825195},{"id":"https://openalex.org/keywords/bent-function","display_name":"Bent function","score":0.6272604465484619},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.591886579990387},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5366166830062866},{"id":"https://openalex.org/keywords/bent-molecular-geometry","display_name":"Bent molecular geometry","score":0.4998903274536133},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44550055265426636},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4368310868740082},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.42284393310546875},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41850173473358154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4111813008785248},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32228371500968933},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3041766881942749},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28251659870147705},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.11279013752937317},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08781185746192932}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.7739758491516113},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6923723220825195},{"id":"https://openalex.org/C84185955","wikidata":"https://www.wikidata.org/wiki/Q4890350","display_name":"Bent function","level":3,"score":0.6272604465484619},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.591886579990387},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5366166830062866},{"id":"https://openalex.org/C138211643","wikidata":"https://www.wikidata.org/wiki/Q675211","display_name":"Bent molecular geometry","level":2,"score":0.4998903274536133},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44550055265426636},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4368310868740082},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.42284393310546875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41850173473358154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4111813008785248},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32228371500968933},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3041766881942749},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28251659870147705},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.11279013752937317},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08781185746192932},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-016-0177-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-016-0177-8","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W292082326","https://openalex.org/W598564470","https://openalex.org/W1553403590","https://openalex.org/W1627969902","https://openalex.org/W1976169454","https://openalex.org/W2004502213","https://openalex.org/W2021094554","https://openalex.org/W2025619411","https://openalex.org/W2085007963","https://openalex.org/W2090432705","https://openalex.org/W2137232464","https://openalex.org/W2154374104","https://openalex.org/W2322391105","https://openalex.org/W2332014887","https://openalex.org/W2564569999","https://openalex.org/W3100529548"],"related_works":["https://openalex.org/W1488498670","https://openalex.org/W2003667685","https://openalex.org/W977779969","https://openalex.org/W2892868783","https://openalex.org/W1975787693","https://openalex.org/W2750816313","https://openalex.org/W2383616285","https://openalex.org/W3028718793","https://openalex.org/W2999100553","https://openalex.org/W2963714594"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}