MATHEMATICAL FOUNDATIONS, ALGORITHMS AND SECURITY ANALYSIS POST-QUANTUM CRYPTOGRAPHY
DOI:
https://doi.org/10.5281/zenodo.19995791Abstract
The rapid development of quantum computing technologies poses a serious threat to modern public-key cryptographic systems. Classical cryptographic algorithms such as RSA and elliptic-curve cryptography rely on mathematical problems that can be efficiently solved using quantum algorithms. Post-quantum cryptography (PQC) aims to develop cryptographic schemes that remain secure even in the presence of quantum adversaries. This paper investigates the mathematical foundations of PQC, focusing on lattice-based, code-based, and hash-based cryptographic constructions. Security models based on computational complexity theory are analyzed, and illustrative examples using Learning With Errors (LWE) and decoding problems are presented. Experimental analysis demonstrates that PQC schemes provide strong resistance against both classical and quantum attacks when appropriate parameters are selected. The results highlight the importance of adopting new cryptographic standards to ensure long-term data security in quantum computing environments.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
By submitting a paper to the conference organized by Academic Publishing House, the author(s) agree to the following license terms and conditions:
1. Copyright and Licensing
- The author(s) retain the copyright of their article.
- The author(s) grant Academic Publishing House a non-exclusive license to publish, distribute, and archive the submitted material in both electronic and print formats.
- The work will be published under the Creative Commons Attribution (CC BY 4.0) license, allowing others to share and adapt the material for any purpose, provided proper credit is given to the original author(s).
2. Author’s Responsibilities
- The author(s) guarantee that the submitted work is original, does not infringe any existing copyrights, and has not been published or submitted elsewhere.
- The author(s) confirm that all co-authors have approved the final version of the manuscript and agree with its submission and publication.
- The author(s) are fully responsible for the accuracy of the data, citations, and references provided in the article.
3. Publisher’s Rights
- Academic Publishing House reserves the right to edit, format, and make minor grammatical or layout corrections to the paper without altering its core content.
- The publisher has the right to include the article in indexing databases, archives, and repositories such as Google Scholar, Zenodo, OpenAIRE, and other partner platforms.
- The publisher may promote the paper through its website and official social media channels.
4. Open Access Policy
All conference papers are published as open access, ensuring free and permanent online access to the full text of all articles immediately upon publication.
5. Withdrawal and Retraction
If ethical misconduct, plagiarism, or data manipulation is detected, Academic Publishing House reserves the right to withdraw or retract the publication at any stage.
6. Acceptance of Terms
Submission of a manuscript to the conference implies that the author(s) have read, understood, and accepted these License Terms.
