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.

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

The most crucial factor in the internet-based environment is the encryption and security of personal data. In this paper, a key exchange protocol based on Generalized Decomposition Problem (GDP) over semiring is proposed. The security and complexity analysis of the proposed protocol is examined. Also, based on the proposed key exchange protocol, an ElGamal cryptosystem for securing Sensitive Health Information (SHI) in Healthcare systems is presented. 

A key exchange protocol and a cryptosystem based on the generalized decomposition problem

Symmetric Information Exchange System Based on Ring Isomorphism

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Symmetric Information Exchange System Based on Ring Isomorphism