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On dual hyperbolic numbers with generalized Jacobsthal numbers components
In this paper, we introduce the generalized dual hyperbolic Jacobsthal numbers. As special cases, we deal with dual hyperbolic Jacobsthal and dual...
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Generalized hyper-Lucas numbers and applications
In this paper, we give some combinatorial properties of a new generalization of hyper-Lucas numbers in order to extend the Cassini determinant. We...
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On dual hyperbolic generalized Fibonacci numbers
In this paper, we introduce the generalized dual hyperbolic Fibonacci numbers. As special cases, we deal with dual hyperbolic Fibonacci and dual...
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Algebra of quaternions and octonions involving higher order Mersenne numbers
In this article, we investigate the algebra of quaternions and octonions with components as the higher order Mersenne numbers. We examine the...
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A Note on Special Matrices Involving k-Bronze Fibonacci Numbers
In this work, we consider a generalization of the Bronze Fibonacci sequence, called the k-Bronze Fibonacci sequence, in which the recurrence formula...
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Generalized Freudenthal duality for rotating extremal black holes
Freudenthal duality (FD) is a non-linear symmetry of the Bekenstein-Hawking entropy of extremal dyonic black holes (BHs) in Maxwell-Einstein-scalar...
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Secure Color Image Encryption Using 9D Hyperchaotic System, Fibonacci Matrices of order m and Symplectic Quaternion-Fractional Hahn Moments
This work presents a novel scheme for encrypting color images. It leverages quaternion algebra, quaternion discrete fractional Hahn moments (QDFHM),...
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Enhancing image security via chaotic maps, Fibonacci, Tribonacci transformations, and DWT diffusion: a robust data encryption approach
In recent years, numerous image encryption schemes have been developed that demonstrate different levels of effectiveness in terms of robust security...
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From Fibonacci Sequence to More Recent Generalisations
Number sequences have been the subject of several research studies. From the algebraic properties to the generating matrices and generating functions...
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Profitability trend prediction in crypto financial markets using Fibonacci technical indicator and hybrid CNN model
Cryptocurrency has become a popular trading asset due to its security, anonymity, and decentralization. However, predicting the direction of the...
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On generalization for Tribonacci Trigintaduonions
The trigintaduonions form a 32-dimensional Cayley–Dickson algebra. In this paper, we intend to make a new approach to introduce the concept of...
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Quantum image encryption algorithm based on generalized Arnold transform and Logistic map
In the era of big data, image security and real-time processing become more and more important and increasingly difficult to satisfy. To improve the...
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Quantum image encryption scheme using independent bit-plane permutation and Baker map
Quantum image encryption can take full advantage of superposition and entanglement properties of the qubit to improve efficiency and security. To...
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Federated learning-outcome prediction with multi-layer privacy protection
Learning-outcome prediction (LOP) is a longstanding and critical problem in educational routes. Many studies have contributed to develo** effective...
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Properties of Multivariate b-Ary Stern Polynomials
Given an integer base b ≥ 2, we investigate a multivariate b-ary polynomial analogue of Stern’s diatomic sequence which arose in the study of hyper...
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A Review on Applications of Chaotic Maps in Pseudo-Random Number Generators and Encryption
Because of the COVID-19 pandemic, most of the tasks have shifted to an online platform. Sectors such as e-commerce, sensitive multi-media transfer,...
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An unrestricted Arnold’s cat map transformation
The Arnold’s Cat Map (ACM) is one of the chaotic transformations, which is utilized by numerous scrambling and encryption algorithms in Information...
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