ECHC : Elliptic Curve Homomorphic Cryptosystem

Introduction
ECHC is a cryptographic schema developed by extending Elliptic Curve-based Partial Homomorphic Encryption operations into a Fully Homomorphic Encryption form. ECHC is developed with various types of encoding algorithms, and the encoding algorithm used in Crypto Blockchain is EC-ElGamal.

• Properties of ECHC
• Small encrypted data size.
• Fast encryption and computation processing speed.
• High security strength among Partial HE schemes.

Homomorphic Encryption (HE) is frequently mentioned, although it still has technical limitations. On the other hand, Elliptic Curve Cryptography (ECC) is gaining attention due to its high security and efficiency. ECC provides the same level of security with smaller key sizes compared to traditional RSA encryption, and it also offers faster computation speeds. Thanks to these characteristics, ECC can be effectively utilized in environments with limited resources, such as mobile devices or the Internet of Things (IoT). Specifically, Elliptic Curve Homomorphic Encryption is an encryption method that allows direct computation on encrypted data. This enables necessary computations to be performed while the data remains encrypted, ensuring data security and making it useful for various applications.