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J. Found. Comput. Sci."],"published-print":{"date-parts":[[2025,9]]},"abstract":"<jats:p> In this paper, by using the Weil sums, we derive that the c-differential uniformity of permutation polynomial of the form [Formula: see text] is equal to 2 for [Formula: see text] with [Formula: see text] and [Formula: see text], or [Formula: see text] with [Formula: see text], where [Formula: see text]. In particular, several explicit classes of APcN permutations over [Formula: see text] are presented using different choices of the pair [Formula: see text] for the monomial [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0129054125500029","type":"journal-article","created":{"date-parts":[[2025,1,24]],"date-time":"2025-01-24T21:31:25Z","timestamp":1737754285000},"page":"939-953","source":"Crossref","is-referenced-by-count":0,"title":["Almost Perfect <i>c<\/i>-Nonlinear Permutations with Trace Functions over \ud835\udd3d2n"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-9680-6085","authenticated-orcid":false,"given":"Yan-Ping","family":"Wang","sequence":"first","affiliation":[{"name":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, P.\u00a0R.\u00a0China"},{"name":"Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Lanzhou 730070, P.\u00a0R.\u00a0China"}]},{"given":"Yiwen","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, P.\u00a0R.\u00a0China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5426-2776","authenticated-orcid":false,"given":"Qiang","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Carleton University, Ottawa, ON K1S 5B6, Canada"}]}],"member":"219","published-online":{"date-parts":[[2025,1,24]]},"reference":[{"key":"S0129054125500029BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2010.10.002"},{"key":"S0129054125500029BIB002","doi-asserted-by":"publisher","DOI":"10.1002\/jcd.21916"},{"key":"S0129054125500029BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2021.101835"},{"key":"S0129054125500029BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s10801-019-00899-2"},{"key":"S0129054125500029BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/BF00630563"},{"key":"S0129054125500029BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-45661-9_2"},{"key":"S0129054125500029BIB007","series-title":"LNCS","first-page":"368","volume-title":"Proceedings of SETA 2008","volume":"5203","author":"Charpin P.","year":"2008"},{"key":"S0129054125500029BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.2971988"},{"key":"S0129054125500029BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-020-00812-0"},{"key":"S0129054125500029BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3123104"},{"key":"S0129054125500029BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.872854"},{"key":"S0129054125500029BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2023.102196"},{"key":"S0129054125500029BIB015","volume-title":"Finite Fields, Encyclopedia of Mathematics and its Applications","volume":"20","author":"Lidl R.","year":"1997"},{"key":"S0129054125500029BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2023.102212"},{"key":"S0129054125500029BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-021-00551-6"},{"key":"S0129054125500029BIB018","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3081348"},{"key":"S0129054125500029BIB019","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-48285-7_6"},{"key":"S0129054125500029BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-021-00485-z"},{"key":"S0129054125500029BIB021","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3198133"},{"key":"S0129054125500029BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2022.08.022"},{"key":"S0129054125500029BIB023","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-021-00946-9"},{"key":"S0129054125500029BIB024","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-021-00526-7"},{"key":"S0129054125500029BIB025","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-021-00866-8"},{"journal-title":"J. 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