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primary topic: On the enlargement of robust region of chaotic tent map for the use in key based substitution-box (S-Box)

On the enlargement of robust region of chaotic tent map for the use in key based substitution-box (S-Box)
type: AcademicArticle
type: Article
abstract: Robust chaotic maps with wide robust region are favored in cryptography as it extends the key length. Chaotic tent map has robust chaos for control parameter Î¼ = 2. Perturbation of control parameter values beyond control parameter 2, results in orbit diverging towards infinity and trajectories vanish. Thus, to avoid trajectories diverging to infinity and to keep trajectories chaotic beyond parameter value 2, a new technique is proposed that makes use of modulo and scaling operators. The parameter space of non-smooth maps is never considered for enlargement. Herein, modified tent map results in larger parameter space that in turn can be used to design key based S-box. The recently published chaotic key based S-box with chaotic map's parameter space does not achieve large key space. For modified tent map, the modulo operation keeps trajectories in domain (0, 1) while scaling allows for uniform distribution of points in domain (0, 1). These operations keep chaotic orbits globally stable and robust. In results, the robustness of chaotic tent map and modified chaotic tent map is compared using bifurcation diagram. The improved robust region of tent map justifies the effectiveness of proposed method that results to design key based S-box. © 2015 Muhammad Asif Khan and Varun Jeoti.
date: 2015
volume: 11
issue: 3
is part of: Journal of Computer Science
status: peerReviewed
status: published
author list: authors
type: EPrint
type: ArticleEPrint
is part of: repository

Science Publications
type: Organization

Journal of Computer Science
type: Collection
issn: 15493636

V. Jeoti
type: Person
given name: V.
family name: Jeoti

M.A. Khan
type: Person
given name: M.A.
family name: Khan

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primary topic: On the enlargement of robust region of chaotic tent map for the use in key based substitution-box (S-Box)