Digital Signatures in the Modern Era: A Review of Cryptographic Progress and Post-Quantum Challenges

Abstract

This paper aimed to provide a thorough examination of recent advancements in digital signatures, emphasizing data security, authentication, and information non-repudiation in the digital age. The study is based on a review of scientific literature from the period 2020 to 2025, in which fundamental principles such as cryptography, public key infrastructure (PKI), hash functions, and RSA algorithms were analysed. It was confirmed that the practical principles of digital signatures were analysed in sensitive areas such as blockchain and healthcare, along with emerging technologies like post-quantum systems and artificial intelligence. The research findings showed that traditional algorithms like RSA are gradually being replaced by newer models such as Syrga-1 and HBSS, which provide better protection against quantum attacks. The importance of PKI in identity verification and certificate management within decentralized systems was confirmed. We consider digital signatures to be essential for ensuring integrity and non-repudiation in many applications. This study enhances academic literature by elucidating contemporary difficulties and prospects for continued progress in digital security. Nonetheless, constraints remain concerning the experimental status of post-quantum technologies and the absence of widespread standardization. Recommendations include expediting the standardization of post-quantum algorithms, incorporating them with blockchain technology, formulating lightweight schemes for the Internet of Things, and enhancing awareness about the usage of digital signatures in both public and private sectors.