A Secure Key Exchange Protocol and a Public Key Cryptosystem for Healthcare Systems

Authors

  • Yuvasri R Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India
  • Manimaran A Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India https://orcid.org/0000-0001-6717-1152

DOI:

https://doi.org/10.37256/cm.5220243942

Keywords:

public key cryptography, key exchange protocol, Diffie-Hellman, ElGamal cryptosystem, semiring

Abstract

Diffie-Hellman (DH) is the reason for the existence of a solution to the key distribution problem, where two parties can mutually set up a shared secret key over an insecure channel without any previous communication. In this study, a novel key exchange protocol based on the difficulty of the Discrete Logarithm Problem with Factor Problem (DLPFP) utilizing matrices in non-commutative semigroup over semiring is proposed. The security and complexity analyses of the protocol are discussed. Also, an ElGamal cryptosystem based on a group of invertible matrices and DLPFP over a semiring to encrypt the Sensitive Health Information (SHI) in healthcare systems is suggested.

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Published

2024-05-23

How to Cite

1.
R Y, A M. A Secure Key Exchange Protocol and a Public Key Cryptosystem for Healthcare Systems. Contemp. Math. [Internet]. 2024 May 23 [cited 2024 Jun. 13];5(2):2402-18. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3942