A unified elliptic curve cryptographic algorithm for secure communication and homomorphic encryption: A multi-parameter (Built-in CIA) Approach
Josepha Menandas J., Mary Subaja Christo · Results in Engineering · 2025
Data security is a critical concern due to the increasing volume and complexity of data being generated and processed. Data security involves implementing strategies, protocols, and technologies to safeguard data from unknown access, breaches, and other threats. With the rise of cloud computing, IoT devices, and sophisticated cyber threats, maintaining data security requires a multifaceted approach that adapts to evolving risks and technologies. Cryptographic algorithms are unable to support security parameters as a whole, such as Confidentiality, Integrity, and Authentication(CIA). Major, well-known cryptographic algorithms support only confidentiality; to support other parameters, we need to go for algorithms like signature algorithms. So far, no algorithm supports all security parameters. Here we introduce the Elliptic Curve-based Cryptographic Algorithm with built-in CIA parameters handled in the same algorithm effectively. The Transport Layer Security (TLS/SSL) protocol can also utilize it to establish secure connections between authorized parties in fewer steps. Applying the Chinese Remainder Theorem (CRT)-based double and add method over Elliptic Curve point arithmetic, and text to point conversion are significantly reduced the time complexity of the proposed algorithm, enhancing its resistance against Power Analysis Attack (PAA) and Side Channel Attack (SCA). Additionally, it supported the data security in processing through homomorphic encryption, and demonstrated superior overall performance compared to the current state-of-the-art.