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Vol. 12 No. 01 (2025)
International Multidisciplinary Journal for Research & Development

Articles

FUNDAMENTALS OF LINEAR ALGEBRA AND THEIR PRACTICAL APPLICATIONS IN CRYPTOGRAPHIC SYSTEMS

Published 2025-01-08

  • Quljanov Jakhongir Bakhtiyorovich, Komiljonov G’olibjon Jamshid o‘g‘li

Quljanov Jakhongir Bakhtiyorovich, Komiljonov G’olibjon Jamshid o‘g‘li
Samarkand Institute of Economics and service

Abstract

This article analyzes the application of linear algebra methods in cryptographic systems. Mathematics has a major role in cryptography, data security and encryption, especially linear algebra methods. The article shows how the basics of linear algebra - concepts such as vectors, matrices, determinants, inversions and linear equations - can be used in the implementation of cryptographic algorithms, encryption and decryption processes.

Keywords

Linear algebra, cryptography, encryption, cryptanalysis, Hill cipher, AES, RSA, security, matrices, vectors. Linear algebra, cryptography, matrix operations, vector spaces, vertex encryption, lattice-based cryptography, post-quantum systems.

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References

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