{"id":"https://openalex.org/W4414699956","doi":"https://doi.org/10.1007/s00145-025-09557-2","title":"New Characterizations of Dillon-like Hyperbent Functions via Dickson Polynomials","display_name":"New Characterizations of Dillon-like Hyperbent Functions via Dickson Polynomials","publication_year":2025,"publication_date":"2025-10-01","ids":{"openalex":"https://openalex.org/W4414699956","doi":"https://doi.org/10.1007/s00145-025-09557-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00145-025-09557-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00145-025-09557-2","pdf_url":null,"source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"Journal of Cryptology","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/A5042198937","display_name":"Ziran Tu","orcid":null},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]},{"id":"https://openalex.org/I74525822","display_name":"Hubei University of Technology","ror":"https://ror.org/02d3fj342","country_code":"CN","type":"education","lineage":["https://openalex.org/I74525822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziran Tu","raw_affiliation_strings":["Key Laboratory of Intelligent Sensing System and Security (Hubei University), Ministry of Education and Hubei Provincial Engineering Research Center of Intelligent Connected Vehicle Network Security, School of Cyber Science and Technology, Hubei University, Wuhan, 430062, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Sensing System and Security (Hubei University), Ministry of Education and Hubei Provincial Engineering Research Center of Intelligent Connected Vehicle Network Security, School of Cyber Science and Technology, Hubei University, Wuhan, 430062, China","institution_ids":["https://openalex.org/I75900474","https://openalex.org/I74525822"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100341684","display_name":"Chunlei Li","orcid":"https://orcid.org/0000-0002-3792-769X"},"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":"Chunlei Li","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, 5020, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, 5020, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029996403","display_name":"Xiangyong Zeng","orcid":"https://orcid.org/0000-0002-8351-8766"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiangyong Zeng","raw_affiliation_strings":["Key Laboratory of Intelligent Sensing System and Security (Hubei University), Ministry of Education and the Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, National Center for Applied Mathematics in Hubei, Wuhan, 430062, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Sensing System and Security (Hubei University), Ministry of Education and the Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, National Center for Applied Mathematics in Hubei, Wuhan, 430062, China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026698531","display_name":"Tor Helleseth","orcid":"https://orcid.org/0000-0003-1290-3541"},"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":"Tor Helleseth","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, 5020, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, 5020, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100400586","display_name":"Nian Li","orcid":"https://orcid.org/0000-0003-4913-7844"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]},{"id":"https://openalex.org/I74525822","display_name":"Hubei University of Technology","ror":"https://ror.org/02d3fj342","country_code":"CN","type":"education","lineage":["https://openalex.org/I74525822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nian Li","raw_affiliation_strings":["Key Laboratory of Intelligent Sensing System and Security (Hubei University), Ministry of Education and Hubei Provincial Engineering Research Center of Intelligent Connected Vehicle Network Security, School of Cyber Science and Technology, Hubei University, Wuhan, 430062, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Sensing System and Security (Hubei University), Ministry of Education and Hubei Provincial Engineering Research Center of Intelligent Connected Vehicle Network Security, School of Cyber Science and Technology, Hubei University, Wuhan, 430062, China","institution_ids":["https://openalex.org/I75900474","https://openalex.org/I74525822"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5029996403"],"corresponding_institution_ids":["https://openalex.org/I75900474"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14616503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9970999956130981,"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":0.9970999956130981,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/bijection","display_name":"Bijection","score":0.7519000172615051},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6739000082015991},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.647599995136261},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6417999863624573},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5162000060081482},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4837000072002411},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.421999990940094},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4108999967575073},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4068000018596649}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8492000102996826},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.7519000172615051},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6739000082015991},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.647599995136261},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6417999863624573},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5162000060081482},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4837000072002411},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4528999924659729},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.421999990940094},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4108999967575073},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4068000018596649},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3912999927997589},{"id":"https://openalex.org/C6128204","wikidata":"https://www.wikidata.org/wiki/Q847600","display_name":"Entire function","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C16757182","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Power function","level":2,"score":0.34610000252723694},{"id":"https://openalex.org/C182408441","wikidata":"https://www.wikidata.org/wiki/Q824282","display_name":"Elementary function","level":2,"score":0.34360000491142273},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.33559998869895935},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3330000042915344},{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.3190000057220459},{"id":"https://openalex.org/C53638454","wikidata":"https://www.wikidata.org/wiki/Q4446020","display_name":"Exponential sum","level":3,"score":0.31630000472068787},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.3118000030517578},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C92867014","wikidata":"https://www.wikidata.org/wiki/Q5421523","display_name":"Exponential formula","level":4,"score":0.29030001163482666},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C85384003","wikidata":"https://www.wikidata.org/wiki/Q5421525","display_name":"Exponential polynomial","level":3,"score":0.26159998774528503}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00145-025-09557-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00145-025-09557-2","pdf_url":null,"source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"Journal of Cryptology","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":44,"referenced_works":["https://openalex.org/W27322304","https://openalex.org/W183907894","https://openalex.org/W1279378592","https://openalex.org/W1629301835","https://openalex.org/W1827311732","https://openalex.org/W1973400298","https://openalex.org/W1978208015","https://openalex.org/W1979198062","https://openalex.org/W1990773884","https://openalex.org/W2000663911","https://openalex.org/W2006563548","https://openalex.org/W2010957781","https://openalex.org/W2024483577","https://openalex.org/W2044101540","https://openalex.org/W2050728515","https://openalex.org/W2062509897","https://openalex.org/W2064894679","https://openalex.org/W2065383271","https://openalex.org/W2073392616","https://openalex.org/W2079239522","https://openalex.org/W2087896741","https://openalex.org/W2090331763","https://openalex.org/W2090432705","https://openalex.org/W2098933212","https://openalex.org/W2124745295","https://openalex.org/W2126085612","https://openalex.org/W2134591469","https://openalex.org/W2138238405","https://openalex.org/W2142469562","https://openalex.org/W2144580888","https://openalex.org/W2145471026","https://openalex.org/W2149110252","https://openalex.org/W2159757394","https://openalex.org/W2161635222","https://openalex.org/W2286164450","https://openalex.org/W2566928873","https://openalex.org/W2802966178","https://openalex.org/W2922109565","https://openalex.org/W3038491906","https://openalex.org/W4205482204","https://openalex.org/W4232809897","https://openalex.org/W4234875403","https://openalex.org/W4236140721","https://openalex.org/W4312853586"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
