On the security of DLCSP over $$GL_n(\mathbb {F}_q[S_r])$$

Pandey, Atul; Gupta, Indivar; Singh, Dinesh

doi:10.1007/s00200-021-00523-6

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2024

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Cited by 2 publications

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“…Also, an ElGamal cryptosystem is proposed. In [31], this protocol's security is examined thoroughly. A modified RSA algorithm to encrypt the SHI is proposed in [32].…”

Section: Introductionmentioning

confidence: 99%

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

2024

Contemp. Math.

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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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“…Also, an ElGamal cryptosystem is proposed. In [31], this protocol's security is examined thoroughly. A modified RSA algorithm to encrypt the SHI is proposed in [32].…”

Section: Introductionmentioning

confidence: 99%