This book introduces seven new encryption designs based on different methodologies such as: chaotic differential equations of integer and fractional-orders nonlinear generalized chaotic maps fractal geometry mixing between the generalized Fiestel network and the Linear Feedback Shift Register (LFSR) and also a new encryption system based on the chess-based horse-move to generate the permutation matrix. Many standard images are discussed and evaluated using the international measures such as NIST.