Joint operation in public key cryptography

TL;DR

This paper presents a software implementation of the inverse element operation, crucial for elliptic curve cryptography and RSA digital signatures, aiming to promote the development of proprietary cryptographic tools.

Contribution

It introduces a new software implementation of the inverse element operation, enhancing cryptographic tool development and encouraging research interest in cryptography.

Findings

Successful implementation of inverse element calculation

Potential for improved cryptographic software tools

Supports ECC and RSA schemes

Abstract

We believe that there is no real data protection without our own tools. Therefore, our permanent aim is to have more of our own codes. In order to achieve that, it is necessary that a lot of young researchers become interested in cryptography. We believe that the encoding of cryptographic algorithms is an important step in that direction, and it is the main reason why in this paper we present a software implementation of finding the inverse element, the operation which is essentially related to both ECC (Elliptic Curve Cryptography) and the RSA schemes of digital signature.