The ``golden matrices and a new kind of cryptography

DOI10.1016/j.chaos.2006.03.069zbMath1127.94018OpenAlexW2003164853MaRDI QIDQ2466573

A. P. Stakhov

Publication date: 15 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.03.069

Mathematics Subject Classification ID

Cryptography (94A60) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (15)

Dual complex Fibonacci \(p\)-numbers ⋮ The generalized Pell \((p, i)\)-numbers and their Binet formulas, combinatorial representations, sums ⋮ On the Fibonacci and Lucas \(p\)-numbers, their sums, families of bipartite graphs and permanents of certain matrices ⋮ Coding theory on the \(m\)-extension of the Fibonacci \(p\)-numbers ⋮ Linear recurrent cryptography: Golden-like cryptography for higher order linear recurrences ⋮ From golden to unimodular cryptography ⋮ The "Elliptic" matrices and a new kind of cryptography ⋮ Golden section, Fibonacci sequence and the time invariant Kalman and Lainiotis filters ⋮ Generalized Fibonacci–Leonardo numbers ⋮ The generalized relations among the code elements for a new complex Fibonacci matrix ⋮ FIBONACCI MATRICES AND HYBRID MATRIX CRYPTOGRAPHY ⋮ Bivariate Fibonacci like \(p\)-polynomials ⋮ CODING THEORY ON THE (m, t)-EXTENSION OF THE FIBONACCI p-NUMBERS ⋮ Some application of difference equations in Cryptography and Coding Theory ⋮ A new Gaussian Fibonacci matrices and its applications

Cites Work

• The golden section in measurement theory
• Fundamentals of a new kind of mathematics based on the golden section
• Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers
• The ``golden algebraic equations
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• Quantum mechanics and the possibility of a Cantorian space-time
• On dimensions of Cantor set related systems
• Is quantum space a random Cantor set with a golden mean dimension at the core?
• On a new class of hyperbolic functions
• Fredholm operators and the wave-particle duality in Cantorian space
• Statistical geometry of a Cantor discretum and semiconductors
• The generalized principle of the Golden Section and its applications in mathematics, science, and engineering
• The Golden Shofar
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• Brousentsov's Ternary Principle, Bergman's Number System and Ternary Mirror-symmetrical Arithmetic
• Generalized golden sections and a new approach to the geometric definition of a number
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