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Title An Efficient Approach to Design a New Asymmetric Key Encryption Algorithm Using Elliptic Curves

Author(s) Baseerat Hayat

Abstract The Diffie-Hellman Key (DHK) protocol is highly effective for asymmetric keys, but if the parameters are not appropriately selected, it may be vulnerable to brute force attacks. Our research attempts to enhance the elliptic curve cryptosystem (ECC)-based asymmetric key scheme. In the improved DHK, the sender and recipient sharing method is utilized, in which they agree on an elliptic curve, but generator G is kept secret. We have proposed an ECC PRNG key exchange protocol that is more reliable than the previous one, as G is kept secret. Additionally, pseudo-random numbers are subjected to the suggested scheme. For the diffusion in this new public key technique, pseudo-random numbers are utilized. The system enhances its security against known or selected plaintext attacks by using a pseudo-random number stream generated from ECC to perform modular encryption. The suggested algorithm’s security and simulation demonstrate its effectiveness, adaptability to various threats, and potential for practical use.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2025-11-24

Subject Mathematics

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