ANALYSIS OF ELLIPTIC CURVES FOR CRYPTOGRAPHIC APPLICATIONS DEDICATED TO DEVICES WITH LIMITED COMPUTATIONAL RESOURCES
Wiesław Maleszewski · 2019
The dynamic development of the Internet of Things infrastructure contributes to the need for a newlook at the methods of protecting information transmission. Most modern systems were designed for devices witheasy access to power. Very often the Internet of Things devices have both limited computing power and verylimited energy resources. These conditions contribute to the need to optimize the computing costs of algorithmswhich ensure communication protection. The purpose of the following work is to provide a concise introductionof the properties of certain algebraic groups generated by the most popular elliptic curve subfamilies and acomparison of the computational costs of the arithmetic operations of adding and doubling points in these groups.