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2023•Journal of Discrete Mathematical Sciences and CryptographyRequires access

The optimized Diffie-Hellman key exchange using the graphical method

Huda Kadhim M. Aljader, Ruma Kareem K. Ajeena

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Abstract

In this paper, we describe a new contribution that uses the optimization problem to create a new version of the Diffie-Hellman key exchange (DHKE). The proposed version depended on the optimized discrete logarithm functions (ODLFs) that are given as a new definition in this work. A graphical method considers a fundamental tool to compute a shared secret key (SSK) in the proposed optimized Diffie-Hellman key exchange (ODHKE). The ODHKE is a more secure protocol for computing the SSK in comparison with the original DHKE.

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What this paper is about

In this paper, we describe a new contribution that uses the optimization problem to create a new version of the Diffie-Hellman key exchange (DHKE). The proposed version depended on the optimized discrete logarithm functions (ODLFs) that are given as a new definition in this work. A graphical method considers a fundamental tool to compute a shared secret key (SSK) in the proposed optimized Diffie-Hellman key exchange (ODHKE). The ODHKE is a more secure protocol for computing the SSK in comparison with the original DHKE.

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Available abstract

In this paper, we describe a new contribution that uses the optimization problem to create a new version of the Diffie-Hellman key exchange (DHKE). The proposed version depended on the optimized discrete logarithm functions (ODLFs) that are given as a new definition in this work. A graphical method considers a fundamental tool to compute a shared secret key (SSK) in the proposed optimized Diffie-Hellman key exchange (ODHKE). The ODHKE is a more secure protocol for computing the SSK in comparison with the original DHKE.

Key concepts: Diffie–Hellman key exchange, Key exchange, Key (lock), Computer science, Discrete logarithm, Theoretical computer science, Logarithm, Public-key cryptography

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