This paper presents an improved security scheme using a hybrid of elliptic curve integrated encryption and provably secure elliptic curve with cyclotomic points. The proposed scheme uses Weierstrass form of an elliptic curve and cyclotomic polynomial, by creating a relationship to uniquely generate a hash function to form a structure from a coordinate in the curve and variable in the polynomial. The scheme was tested using e-payment information for mutual agreement and transaction authentication. The scheme is secured for encryption of information with low computational time and useful to fight against small subgroup, chosen ciphertext attacks and ensures data confidentiality and integrity.

本文提出了一种改进的安全方案，该方案使用了椭圆曲线集成加密和带有圆环点的可证明的安全椭圆曲线的混合体。所提出的方案使用椭圆曲线和环多项式的Weierstrass形式，通过创建一个关系来唯一地生成哈希函数，以根据曲线中的坐标和多项式中的变量形成结构。该方案已使用电子支付信息进行了相互协议和交易认证的测试。该方案可确保以较低的计算时间对信息进行加密，并且可用于对抗较小的子组，选择的密文攻击并确保数据的机密性和完整性。