Lattice-Based Cryptographic Scheme for Secure Blockchain Development and Financial Systems

Authors

  • F. A. Effiong Department of Mathematics, University of Uyo, Uyo, Akwa Ibom State, Nigeria
  • E. H. Enyiduru Department of Mathematics, Michael okpara University of Agriculture Umudike
  • L. E. Effiong Department of Mathematics, Abia State Polytechnic, Aba, Abia State, Nigeria
  • N, J Michael Department of Mathematics, Akwa Ibom State University, Ikot Akpaden, Nigeria.
  • M.I. Sampson Department of Mathematics, Akwa Ibom State University, Ikot Akpaden, Nigeria.

Keywords:

Blockchain security, Lattice-based cryptography, Financial systems, Quantum resistance, Cryptographic schemes, Group theory, Resilience, Scalability

Abstract

This paper advocates for the integration of lattice-based cryptographic schemes to enhance the security and resilience of blockchain technology in financial systems. Lattice-based cryptography demonstrates promising resistance against quantum attacks, making it an attractive solution for safeguarding sensitive information in blockchain ecosystems. By leveraging group theory within lattice-based cryptography, a novel cryptographic scheme is proposed to mitigate emerging security challenges faced by traditional cryptographic algorithms. Key generation, encryption, and decryption processes are outlined, showcasing the scheme's resistance to quantum attacks. The implementation of this scheme has the potential to bolster security, scalability, and trust in financial transactions within blockchain networks.

References

Peikert, C. (2015). "Lattice cryptography for the Internet" (PDF). IACR.Springer Retrieved

-05-09.

Miklos, A., & Cynthia, D. (1997). “A Public-Key Cryptosystem with WorstCase/Average-Case Equivalence Revision of: TR96-065. Retrived online via https://eccc.weizmann.ac.il/report/1996/065/

Hoffstein, J., Pipher, J., & Silverman, H. (1998). "NTRU: A ring-based public key cryptosystem". Algorithmic Number Theory. Lecture Notes in Computer Science. Vol. 1423. pp. 267–288. CiteSeerX 10.1.1.25.8422. doi:10.1007/bfb0054868. ISBN 978-3-540-64657-0.

Michael N J., Udoaka O. G., & Alex M. (2023) Nilpotent groups in cryptographic key exchange protocol for N≥ 1. Journal of Mathematical Problems, Equations and Statistics. 2023; 4(2): 32-34. DOI: 10.22271/math.2023.v4.i2a.103

Michael N. J, Otobong G. U., & Itoro U. U. (2023). Group Theory in Lattice-Based Cryptography. International Journal of Mathematics And Its Applications, 11(4), 111–125. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1438

Michael N. J., & Udoaka O. G (2023). Algorithm and Cube-Lattice-Based Cryptography. International journal of Research Publication and reviews, Vol 4, no 10, pp 3312-3315 October 2023. DOI: https://doi.org/10.55248/gengpi.4.1023.102842.

Sampson, Marshal Imeh, Felix Asuquo Efiong, Eno John, Stephen I. Okeke (2024). Enhance Canonical Image Computation for Finite Permutation Groups Using Graph Backtracking. Int. J. Mathematics, Vol 7, Issue 3, pp. 19-33. DOI:

Sampson, M. I., Nduka, W., & Jackson Ante (2021). On divisibility of Sum of Coprimes of Integers by Integers and Primes. IOSR Journal of Mathematics. Volume 17, Issue 1 Ser. III, PP 39-49. www.iosrjournals.org. 313

Sampson, Marshal I. (2023). Infinite Semigroups Whose Number of Independent Elements is Larger than the Basis. International Journal of Science & Engineering Development Research (www.ijrti.org) | Volume 8, Issue 7 | ISSN: 2456-3315. Pg. 1001 - 1005

Additional Files

Published

2025-02-19

How to Cite

Effiong, F. A., Enyiduru, E. H., Effiong, L. E., Michael , N. J., & Sampson, M. (2025). Lattice-Based Cryptographic Scheme for Secure Blockchain Development and Financial Systems. Journal of Science Education and Humanities, 7(1). Retrieved from https://www.akscoejoseh.org/index.php/joseh/article/view/19

Issue

Vol. 7 No. 1 (2023): Volume 7, No. 1, 2023

Section

Articles

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