Abstract: In this paper, a novel scheme for image encryption scheme is proposed, which is based on
2D-SIMM chaotic map and DNA sequence operations. 2D-SIMM chaotic map could generate larger
chaotic ranges and better chaotic behaviors. The generated sequences are more suitable for image
encryption. Extended Hamming distance is adopted and improved expanded XOR operation is
proposed in this paper. DNA addition and subtraction rules are performed. Then the algorithm based
on DNA complementary rule is presented. The experiments display that the proposed algorithm is
available in security, availability and robustness.

Key words: 2D-SIMM, improved expanded XOR operation, extended Hamming distance, DNA complementary rule