2022/04/19 by Chunlei Li, Li, Chunlei, Constanza Riera +3 · 1 citation
Computer Science · #Coding theory and cryptography #Cryptographic Implementations and Security #Cryptography and Data Security #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · pdf · doi:10.48550/arxiv.2204.08760
openalex publication_date 2022/04/19 · openalex created_date 2022/04/26 · openalex updated_date 2026/07/28
In this paper we generalize Dillon's switching method to characterize the exact c-differential uniformity of functions constructed via this method. More precisely, we modify some PcN/APcN and other functions with known c-differential uniformity in a controllable number of coordinates to render more such functions. We present several applications of the method in constructing PcN and APcN functions with respect to all c≠ 1. As a byproduct, we generalize some result of [Y. Wu, N. Li, X. Zeng, \em New PcN and APcN functions over finite fields, Designs Codes Crypt. 89 (2021), 2637--2651]. Computational results rendering functions with low differential uniformity, as well as, other good cryptographic properties are sprinkled throughout the paper.