Efficient Mapping Method for Elliptic Curve Cryptosystems Based on PWLCM

摘要

The security of digital images is an important issue that has been receiving considerable attention in the recent past. Different image encryption techniques have been proposed in the literature. Among the fundamental theories in the number theory, we can find the elliptic curve (EC) which is widely used to construct cryptographic primitives. This paper investigates the security of image encryption schemes based on elliptic curves cryptography (ECC) and Chaos theory. More precisely, in this paper, we propose a new image encryption scheme that utilize a new mapping method based on Piecewise Linear Chaotic Map (PWLCM) that converts each pixel of plain image into a point on an elliptic curve. Encryption and decryption process are given in details. After applying encryption, security analysis is performed to show that our scheme cannot only achieve good encryption, but also resist the statistical attacks.