Image encryption is one of most useful way of securing image data. Traditional data security algorithms are also used over images but due to the bulkiness of image data they are not useful. Chaotic sequences play a very good role in image cryptographic system, due to their high sensitivity to initial condition and other properties. In this paper, B-spline functions of first three orders are stu...

Inspired from the Identity-based cryptosystem proposed by Adi Shamir, and Boneh and Franklin, this paper designed a new Identity-based digital signature (ECM-IDS) scheme using extended chaotic maps. The ECM-IDS scheme is secure based on the difficulties of integer factorization problem.

Many tiling spaces such as domino tilings of fixed figures have an underlying lattice structure. This lattice structure corresponds to the dynamics induced by flips. In this paper, we further investigate the properties of these lattices of tilings. In particular, we point out a stability property: the set of all the shortest sequences of flips joining to fixed tilings also have a lattice struct...

We investigate a lattice of coupled logistic maps where, in addition to the usual diffusive coupling, an advection term parameterized by an asymmetry in the coupling is introduced. The advection term induces periodic behavior on a significant number of non-periodic solutions of the purely diffusive case. Our results are based on the characteristic exponents for such systems, namely the mean Lya...

In recent years the synchronization of a chaotic response system with a chaotic drive system has attracted great interest in nonlinear science and engineering, due to the potential applications in chaos-based communications. This paper focuses on a new approach to achieve synchronization between two chaotic (hyperchaotic) maps with different dimensions. In particular, given a drive system map w...

Secure communication is a matter of genuine concern that includes means whereby entities can share information without a third party’s interception. Key agreement protocols are one of the common approaches in which two or more parties can agree upon a key, which precludes undesired third parties from forcing a key choice on them. Over the past decade, chaos-based key agreement protocols have be...

In this paper a new approach for RGB image encryption is based on a blend of 2D chaotic maps. Chaotic Henon map, chaotic Burger map and chaotic Gingerbreadman map is used in order to meet up the requirements of the protected image transmission. The proposed image encryption scheme is composed of two Transformation processes and two substitution processes. Different statistical methods, such as ...

A new pseudo-random number generator (PRNG) is proposed. The principle of the method consists in mixing chaotic maps produced from an input initial vector. The algorithm uses permutations whose positions are computed and indexed by a chaotic function based on linear congruences. The performance of this scheme is evaluated through statistical analysis. Such a cryptosystem lets appear significant...

Let ρ(x, t) denote a family of probability density functions parameterized by time t. We show the existence of a family {τt : t > 0} of deterministic nonlinear (chaotic) point transformations whose invariant probability density functions are precisely ρ(x, t). In particular, we are interested in the densities that arise from the diffusions. We derive a partial differential equation whose soluti...

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