Let f(x) be a mapping f: GF(p
n
) →GF(p
n
), where p is prime and GF(p
n
) is the finite field with p
n
elements. A mapping f is called differentially k-uniform if k is the maximum number of solutions x ∈ GF(p
n
) of f(x + a) − f(x) = b, where a, b ∈ GF(p
n
) and a ≠ 0. A 1-uniform mapping is called perfect nonlinear (PN). In this paper, we propose an approach for assurance of perfect
nonlinearity which involves simply checking a trace condition.
Keywords perfect nonlinear - equivalence of functions