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Based on the hybrid of piecewise linear chaotic map (PWLCM) and Feistel network, a block cipher algorithm with a 128-bit length key is proposed. Within the algorithm, an 8 Ã 8 S-box generated by chaotic map is used to realize the round function F, and PWLCM is employed to determine the input of the S-boxes. The algorithm operates on 32-bit plaintext blocks through 16 rounds computing. The experiment results and differential and linear cryptanalysis indicate that the proposed cipher has excellent diffusion and confusion properties, and it is very sensitive to the keys and the plaintexts. The inherent properties of chaos will greatly increase the complicated and unpredictability of the ciphertexts. Some future works are also considered in this paper.