A new block cipher based on chaotic map and group theory

Based on the study of some existing chaotic encryption algorithms, a new block cipher is proposed. In the proposed cipher, two sequences of decimal numbers individually generated by two chaotic piecewise linear maps are used to determine the noise vectors by comparing the element of the two sequences. Then a sequence of decimal numbers is used to define a bijection map. The modular multiplication operation in the group Z28+1∗ and permutations are alternately applied on plaintext with block length of multiples of 64 bits to produce ciphertext blocks of the same length. Analysis show that the proposed block cipher does not suffer from the flaws of pure chaotic cryptosystems.