ANALYSIS OF ELLIPTIC CURVES FOR CRYPTOGRAPHIC APPLICATIONS DEDICATED TO DEVICES WITH LIMITED COMPUTATIONAL RESOURCES

Abstract

The dynamic development of the Internet of Things infrastructure contributes to the need for a new
look at the methods of protecting information transmission. Most modern systems were designed for devices with
easy access to power. Very often the Internet of Things devices have both limited computing power and very
limited energy resources. These conditions contribute to the need to optimize the computing costs of algorithms
which ensure communication protection. The purpose of the following work is to provide a concise introduction
of the properties of certain algebraic groups generated by the most popular elliptic curve subfamilies and a
comparison of the computational costs of the arithmetic operations of adding and doubling points in these groups.