2 papers
math.NT2026
Coefficient choice in Galois-ring lifts of APN permutations: sharp unit-direction spectra and one-term optimal lifts
Hiroki Fukui
Permutation polynomials over the Galois ring are nonlinear components for symmetric primitives that add keys in the ring, as in secure computation modulo …
math.NT2026
Optimal Reduced Representatives of Quadratic APN Permutations in Odd Dimension
Hiroki Fukui
The formal derivative of the reduced polynomial representative of a map on a binary finite field depends on the coordinates, although its differential uniformity does not. This mat…