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NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS AS ENCRYPTION KEYS

Mrs. Ramya D R Ramya D R

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Abstract

The field of cryptography is vital in ensuring the privacy and security of digital information, with encryption being one of its most important facts. Traditionally, cryptographic systems rely on algorithms that involve large prime numbers, symmetric key ciphers, and public key infrastructures. However, the complexity and the computational load involved in such encryption schemes motivate the search for innovative cryptographic techniques. This paper explores the novel concept of using numerical methods for solving differential equations as encryption keys. Specifically, we investigate how methods such as finite difference, finite element and spectral methods could be adapted to generate encryption keys based on the numerical solution of differential equations. These approaches, though not widely explored, offer a promising avenue for enhancing cryptographic systems, offering both security and scalability.

Copyright

Copyright © 2025 Mrs. Ramya D R. This is an open access article distributed under the Creative Commons Attribution License.

Paper Details
Paper ID: IJPREMS50300058720
ISSN: 2321-9653
Publisher: ijprems
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The International Journal of Progressive Research in Engineering, Management and Science is a peer-reviewed, open access journal that publishes original research articles in engineering, management, and applied sciences.

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