{"id":"https://openalex.org/W4387218756","doi":"https://doi.org/10.1007/s10623-023-01308-3","title":"Permutation polynomials and their compositional inverses over finite fields by a local method","display_name":"Permutation polynomials and their compositional inverses over finite fields by a local method","publication_year":2023,"publication_date":"2023-09-30","ids":{"openalex":"https://openalex.org/W4387218756","doi":"https://doi.org/10.1007/s10623-023-01308-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-023-01308-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-023-01308-3","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"],"raw_orcid":"https://orcid.org/0000-0002-6683-1283","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"],"raw_orcid":null,"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":1.3341,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84707087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"92","issue":"2","first_page":"267","last_page":"276"},"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":0.9994000196456909,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8567377328872681},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.8444720506668091},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6385465264320374},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.532252311706543},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5047785043716431},{"id":"https://openalex.org/keywords/derangement","display_name":"Derangement","score":0.4479331076145172},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.4380042552947998},{"id":"https://openalex.org/keywords/permutation-graph","display_name":"Permutation graph","score":0.42469435930252075},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36676114797592163},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.364744633436203},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3465886116027832},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.17798647284507751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07022172212600708}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8567377328872681},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.8444720506668091},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6385465264320374},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.532252311706543},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5047785043716431},{"id":"https://openalex.org/C38298161","wikidata":"https://www.wikidata.org/wiki/Q1207920","display_name":"Derangement","level":2,"score":0.4479331076145172},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.4380042552947998},{"id":"https://openalex.org/C68965932","wikidata":"https://www.wikidata.org/wiki/Q7169369","display_name":"Permutation graph","level":3,"score":0.42469435930252075},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36676114797592163},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.364744633436203},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3465886116027832},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.17798647284507751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07022172212600708},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-023-01308-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-023-01308-3","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"}],"funders":[{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W249728250","https://openalex.org/W1540004955","https://openalex.org/W1569612250","https://openalex.org/W1965411348","https://openalex.org/W1999918393","https://openalex.org/W2048961727","https://openalex.org/W2067790332","https://openalex.org/W2082337615","https://openalex.org/W2119936466","https://openalex.org/W2130961661","https://openalex.org/W2157566047","https://openalex.org/W2214521354","https://openalex.org/W2392885651","https://openalex.org/W2526479025","https://openalex.org/W2527744876","https://openalex.org/W2592162774","https://openalex.org/W2734580446","https://openalex.org/W2791996780","https://openalex.org/W2962895977","https://openalex.org/W2963397145","https://openalex.org/W2963508189","https://openalex.org/W2963954147","https://openalex.org/W2963971814","https://openalex.org/W2972280902","https://openalex.org/W3035752901","https://openalex.org/W3083390233","https://openalex.org/W3104733590","https://openalex.org/W3125502342","https://openalex.org/W3145558723","https://openalex.org/W3146393670","https://openalex.org/W4210517428","https://openalex.org/W4232836212","https://openalex.org/W4296433275"],"related_works":["https://openalex.org/W2385551783","https://openalex.org/W2964309395","https://openalex.org/W4285292213","https://openalex.org/W2356795487","https://openalex.org/W2141765721","https://openalex.org/W2391050754","https://openalex.org/W4302067876","https://openalex.org/W3133549692","https://openalex.org/W2349665798","https://openalex.org/W2078652738"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-16T08:24:45.110214","created_date":"2025-10-10T00:00:00"}