نظام توقيع هجين مبني على تحليل مقارن للتواقيع الكمومية والمنحنيات الاهليليجية

Abstract

With the globalization of digital transformation that has begun to impose itself across all areas of life, at various levels, and in all countries around the world, we have become obligated to use digital processes around the clock. This necessitates working to ensure the safety of the data and information we exchange with multiple parties. We are also required to verify the sources of this data. On the other hand, we are obligated to prove our digital identity to others for every data reception or transmission operation, with the aim of ensuring the smooth functioning of these processes away from hacking and exploitation incidents. This demands a thorough study of digital signature algorithms and adopting the best ones from a security and performance standpoint, while considering the associated costs—especially with the advent of the quantum computing era as a new working environment, which imposes significant new challenges on all levels and requirements of the digital globalization era.

In this research, we will evaluate the performance of the most important encryption algorithms based on lattice networks, particularly the current digital signature algorithms that rely on elliptic curves through the ECDSA algorithm, and assess their capability to enhance the security level they provide in the quantum computing era. We will also compare this with the performance of the most important quantum-resistant encryption algorithms used in digital signatures, specifically the Falcon algorithm.