The c-differential spectrum of x↦ x^(pn+1)/(2) in finite fields of odd characteristics

2022/10/21 by Constanza Riera, Riera, Constanza, Pantelimon Stănică +3
Computer Science · #11L10 #11T24 #11T71 #12E20 #94A60 #Cellular Automata and Applications #Coding theory and cryptography #Cryptography and Residue Arithmetic #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2210.12249

openalex publication_date 2022/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper, we concentrate on the map x↦ x^(pn+1)/(2) on \mathbbF_pⁿ and using combinatorial and number theory techniques, we compute its detailed c-differential spectrum for all values of c≠ 1 (the spectrum for c=1 is known).

Related

• Differential Spectrum of Some Power Functions With Low Differential Uniformity
• On the c-differential spectrum of power functions over finite fields
• A note on the differential spectrum of a class of locally APN functions
• The c-differential properties of a class of power functions
• On the differential spectrum of a class of APN power functions over odd characteristic finite fields and their c-differential properties