Abstract

The modern world is inextricably linked with information technologies. Every year, the Internet expands, and thousands of sites that provide various services have been created. With a stable Internet connection, you can solve most of life's problems without leaving home – from ordering dinner to receiving government services. Nowadays, when educational institutions and businesses have been forced to switch to a remote form of work due to the pandemic, the issue of information protection is more pressing than ever. There are many cryptographic algorithms that have protected our information on the Internet for decades, but as computing power grows, so do the demands on such algorithms. Some of them have not coped with the challenge of time and are no longer used, which is why there is a need to develop new algorithms that use more complex mathematical principles and provide a higher level of security. And there is a whole class of algorithms that use the principles of elliptic curves to provide greater security with relatively lower use of system resources.

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