Novel asymmetrical color image encryption using 2D sine-power coupling map

Recently, many existing image encryption schemes suffer from security vulnerabilities due to system key leakage. In response to this issue, this paper proposes a novel asymmetric chaotic image encryption scheme combining elliptic curve cryptography (ACIES-ECC). In this scheme, the system key is derived from two parts, which are the original image and the shared key obtained through the Elliptic Curve Diffie–Hellman (ECDH) algorithm. As the shared key is generated locally, there is no risk of interception during transmission. Additionally, the scheme employs the Elliptic Curve Digital Signature Algorithm (ECDSA) to sign the ciphertext, thereby preventing malicious tampering with the ciphertext. Secondly, a new two-dimensional sine-power coupling map (2D-SPCM) is proposed in this paper, which exhibits superior chaotic characteristics and randomness compared to some existing chaotic systems. Furthermore, based on the 2D-SPCM, a cross-plane color image encryption algorithm (CPCIE-SPCM) is designed, which employs the ZigZag rule to globally diffuse the image pixels, and then conducts cross disruption in the various planes. To verify their performance, we further implement the CPCIE-SPCM in the ACIES-ECC. The experimental results indicate that the proposed scheme exhibits favorable encryption performance.