427 research outputs found

    On Equivalence of Known Families of APN Functions in Small Dimensions

    Full text link
    In this extended abstract, we computationally check and list the CCZ-inequivalent APN functions from infinite families on F2n\mathbb{F}_2^n for n from 6 to 11. These functions are selected with simplest coefficients from CCZ-inequivalent classes. This work can simplify checking CCZ-equivalence between any APN function and infinite APN families.Comment: This paper is already in "PROCEEDING OF THE 20TH CONFERENCE OF FRUCT ASSOCIATION

    On Some Properties of Quadratic APN Functions of a Special Form

    Full text link
    In a recent paper, it is shown that functions of the form L1(x3)+L2(x9)L_1(x^3)+L_2(x^9), where L1L_1 and L2L_2 are linear, are a good source for construction of new infinite families of APN functions. In the present work we study necessary and sufficient conditions for such functions to be APN
    • …
    corecore