Development of a hybrid mapping scheme using matrix mapping and unicode in elliptic curve cryptography

Sreekala M., Varghese Paul · AIP conference proceedings · 2022

We are now living in a digital universe. The wide world of technology with high level advancements has all started to gravitate towards our working lives, personal lives, and finances. This pervasive phenomenon, sadly, leaves us at more risk than ever to spiteful attacks, privacy stalking, fraud, and other such unpleasant things. Hence cyber security is such a crucial part of a stable and secure world. Elliptic curve cryptography is mainly used for encryption and decryption as an asymmetric encryption system in which, if you have to encrypt a message, first mapping the message by using an efficient mapping algorithm, they try to plot the message to a different point on the elliptic curve. Even though the arithmetic behind Elliptic curve cryptography is highly complex in nature, it is difficult to break. In this paper, we focus on various message mapping schemes in the cryptosystem of elliptic curves, the drawbacks of each strategy, and how sensitive to cryptanalysis they are. We are proposing a new mapping method that is unaffected by frequency analysis and other types of data analysis of crypto attacks in the later part of this paper.

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