New class of the FPGA efficient cryptographic primitives

This work focuses the problem of further development of the approach to the fast cipher design, based on data-dependent (DD) permutations (DDP). A new class of the DDP-like operations is described. New DD operations (DDO) are constructed replacing the switching element in the DDP boxes by different controlled elements (CE) having the same size. Full classification of CE with two non-linear outputs is presented. Two subclasses of nonlinear CE, with the best differential characteristics are recommended for the use in the non-linear DDO-boxes synthesis. The non-linear CE boxes are implemented in FPGA modules using the same hardware resources as switching elements. It is shown that the use of the nonlinear DDO, instead of DDP allows one to reduce the number of rounds. With this technique higher Performance/Cost ratio is achieved, while designing fast hardware suitable ciphers.