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In this paper, we study the [Formula: see text]-differential uniformity of some functions. We first construct some perfect [Formula: see text]-nonlinear functions from known ones. Additionally, pseudo-perfect [Formula: see text]-nonlinear functions are also investigated and a necessary and sufficient condition for a function to be pseudo-perfect [Formula: see text]-nonlinear is presented. Meanwhile, some pseudo-perfect [Formula: see text]-nonlinear functions are constructed. Remarkably, we completely give the difference distribution table of a function with respect to the pseudo [Formula: see text]-derivative. <\/jats:p>","DOI":"10.1142\/s0129054124500187","type":"journal-article","created":{"date-parts":[[2024,10,11]],"date-time":"2024-10-11T06:24:56Z","timestamp":1728627896000},"page":"553-568","source":"Crossref","is-referenced-by-count":0,"title":["Some Constructions of Perfect c-Nonlinear and Pseudo-Perfect c-Nonlinear Functions"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5325-5651","authenticated-orcid":false,"given":"Xiangdong","family":"Cheng","sequence":"first","affiliation":[{"name":"School of mathematics and statistics, Nanyang Normal University, Nanyang 473061, P. R. China"},{"name":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. 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