Secure and fast encryption using chaotic Kolmogorov flows

We describe a new symmetric product ciphering algorithm that operates iteratively on an arbitrary square block of plaintext with the only constraint that the blocklength has to be an integral power of 2. Permutations are induced by the highly unstable nonlinear dynamics of chaotic Kolmogorov flows, while substitutions are implemented using add-with-carry or subtract-with-borrow generators. The encryption performance is excellent in hardware and software which is based on the fact that only additions, subtractions and bit-shifts, but no time-consuming operations like multiplication or exponentiation are necessary for implementing the cipher