A new symmetric cryptosystem is proposed in this paper which will be used to carry out image encryption without compression. The proposed system has been developed to encrypt images in BMP format. A significant contribution of this investigation is the use of one solution point of a zero valued constant elliptic curve in order to generate a set of 15 encryption keys. On the other hand, using a differential equation that produce chaotic numbers a permutation and its inverse permutation are generated. Every encryption key and both permutations are the same size as the image. The proposed cryptosystem is tested for the purpose of verifying its resistance against several cryptographic attacks as well as the randomness and quality of its ciphering. Results are showed and compared with some recent scientific articles published between 2017 and 2019.

中文翻译：

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通过使用椭圆曲线和混沌的新型密码系统加密 RGB 图像

本文提出了一种新的对称密码体制，用于对图像进行无压缩加密。所提出的系统已被开发用于加密 BMP 格式的图像。这项研究的一个重要贡献是使用零值常数椭圆曲线的一个解点来生成一组 15 个加密密钥。另一方面，使用产生混沌数的微分方程生成置换及其逆置换。每个加密密钥和两个排列都与图像大小相同。测试提议的密码系统是为了验证其对几种密码攻击的抵抗力以及其加密的随机性和质量。结果显示并与 2017 年至 2019 年间发表的一些近期科学文章进行了比较。