{"id":"https://openalex.org/W4411227083","doi":"https://doi.org/10.1007/s10623-025-01670-4","title":"The compositional inverses of the permutation polynomials from trace functions over finite fields","display_name":"The compositional inverses of the permutation polynomials from trace functions over finite fields","publication_year":2025,"publication_date":"2025-06-12","ids":{"openalex":"https://openalex.org/W4411227083","doi":"https://doi.org/10.1007/s10623-025-01670-4"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-025-01670-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-025-01670-4","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/A5005046827","display_name":"Danyao Wu","orcid":"https://orcid.org/0000-0002-6683-1283"},"institutions":[{"id":"https://openalex.org/I2799850029","display_name":"Dongguan University of Technology","ror":"https://ror.org/01m8p7q42","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799850029"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Danyao Wu","raw_affiliation_strings":["School of Computer Science and Technology, Dongguan University of Technology, Dongguan, 523808, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Dongguan University of Technology, Dongguan, 523808, China","institution_ids":["https://openalex.org/I2799850029"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065755582","display_name":"Pingzhi Yuan","orcid":"https://orcid.org/0000-0001-6398-0614"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pingzhi Yuan","raw_affiliation_strings":["School of Mathematics, South China Normal University, Guangzhou, 510631, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, South China Normal University, Guangzhou, 510631, China","institution_ids":["https://openalex.org/I187400657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005046827"],"corresponding_institution_ids":["https://openalex.org/I2799850029"],"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":0.06629277,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"93","issue":"9","first_page":"3933","last_page":"3953"},"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":0.9998000264167786,"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":0.9991000294685364,"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/mathematics","display_name":"Mathematics","score":0.8508756756782532},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.7746907472610474},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7019168138504028},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6916763186454773},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45702430605888367},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.418630987405777},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35789382457733154},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34742555022239685}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8508756756782532},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.7746907472610474},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7019168138504028},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6916763186454773},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45702430605888367},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.418630987405777},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35789382457733154},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34742555022239685},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-025-01670-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-025-01670-4","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":[{"id":"https://openalex.org/G1388219319","display_name":null,"funder_award_id":"2020A1515111090","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G3464395772","display_name":null,"funder_award_id":"2024A1515010589","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G6596638181","display_name":null,"funder_award_id":"12171163","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1540004955","https://openalex.org/W1569612250","https://openalex.org/W1603865303","https://openalex.org/W1965411348","https://openalex.org/W1999918393","https://openalex.org/W2005388821","https://openalex.org/W2048961727","https://openalex.org/W2082337615","https://openalex.org/W2119936466","https://openalex.org/W2130961661","https://openalex.org/W2157566047","https://openalex.org/W2392885651","https://openalex.org/W2527744876","https://openalex.org/W2592162774","https://openalex.org/W2791996780","https://openalex.org/W2963397145","https://openalex.org/W2963954147","https://openalex.org/W2963971814","https://openalex.org/W2972280902","https://openalex.org/W2974834793","https://openalex.org/W3083390233","https://openalex.org/W3104733590","https://openalex.org/W3145558723","https://openalex.org/W4232836212","https://openalex.org/W4235419022","https://openalex.org/W4285246747","https://openalex.org/W4400078434","https://openalex.org/W4403605129"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2061122711","https://openalex.org/W4403576982","https://openalex.org/W4247954915","https://openalex.org/W2131958170","https://openalex.org/W2273754158","https://openalex.org/W2336747664","https://openalex.org/W2412284786","https://openalex.org/W4296465811","https://openalex.org/W2964302506"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
