In this work, a new 4-D hyperchaotic system for image encryption is proposed and its effectiveness is demonstrated by incorporating it into an existing Elliptic Curve Cryptography (ECC) mapping scheme. The proposed system is considered simple because it consists of eight terms with two nonlinearities. The system exhibits high sensitivity to initial conditions, which makes it suitable for encryption purposes. The two-stage encryption process, involving confusion and diffusion, is employed to protect the confidentiality of digital images. The simulation results demonstrate the effectiveness of the hyperchaotic system in terms of security and performance when combined with the ECC mapping scheme. This approach can be applied in various domains including healthcare, military, and entertainment to ensure the robust encryption of digital images.

翻译：本文提出了一种用于图像加密的新型四维超混沌系统，并通过将其整合到现有的椭圆曲线密码学映射方案中验证了其有效性。该系统结构简洁，仅包含八项且具有两个非线性项。该系统对初始条件表现出高度敏感性，使其非常适用于加密目的。加密过程采用混淆与扩散两阶段操作，以保障数字图像的机密性。仿真结果表明，该超混沌系统与ECC映射方案结合后在安全性和性能方面均表现出色。该方法可广泛应用于医疗、军事及娱乐等多个领域，为数字图像提供鲁棒的加密保护。