Construction of a Chaotic Map-Based Authentication Protocol for TMIS

Dharminder, Dharminder; Kundu, Nibedita; Mishra, Dheerendra

doi:10.1007/s10916-021-01750-7

Cited by 6 publications

(1 citation statement)

References 33 publications

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“…In recent years, the requirement for new chaotic maps and systems is significantly increasing mostly for image encryption (Ye and Wong 2012, Li et al 2017, Wang et al 2020, Hu and Li 2021, Patro and Acharya 2021, Toktas et al 2021, Liu et al 2022, digital audio encryption (Shah et al 2021), pseudo random number generation (Krishnamoorthi et al 2021, Tutueva et al 2021, cryptography (Zheng and Hu 2022) secure communication (Bouteghrine et al 2021) even for secure authentication (Dharminder et al 2021). Nearly all of the kernels of these research papers are powered by existing chaotic maps discovered by the researchers.…”

Section: Introductionmentioning

confidence: 99%

A new chaotic map derived from the Hermite–Kronecker–Brioschi characterization of the Bring-Jerrard quintic form

Alpar

2023

Phys. Scr.

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The Bring-Jerrard normal form, achieved by Tschirnhaus transformation of a regular quintic, is a reduced type of the general quintic equation with quartic, cubic and quadratic terms omitted. However, the form itself is an equation opposing the mandatory characteristics of the iterative chaotic maps. Given the form represents the fixed-point equations, it is possible to turn it into a map of iterations. Under specific conditions, the quartic map achieved by transformation from the quintic normal form exhibits chaotic behavior for real numbers. Depending on the system parameters, the new map causes period-doubling until a complete chaos within a very short range. Basically, in this paper, we present a new one-dimensional chaotic map derived from the Hermite–Kronecker–Brioschi characterization of the Bring-Jerrard normal form, which exhibits chaotic behavior for negative initial points. We also included the brief analysis of the Bring-Jerrard generalized case which is the parent system of the chaotic map we proposed in this paper.

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