The generalized relations among the code elements for Fibonacci coding theory

DOI10.1016/j.chaos.2008.09.030zbMath1198.94196OpenAlexW2019073482MaRDI QIDQ602597

Bandhu Prasad, Manjusri Basu

Publication date: 5 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.09.030

Mathematics Subject Classification ID

Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Arithmetic codes (94B40) Matrices, determinants in number theory (11C20)

Related Items (21)

k-order Gaussian Fibonacci polynomials and applications to the coding/decoding theory ⋮ Dual complex Fibonacci \(p\)-numbers ⋮ CODING THEORY ON h(x) FIBONACCI p-NUMBERS POLYNOMIALS ⋮ High rates of Fibonacci polynomials coding theory ⋮ Coding theory on the \(m\)-extension of the Fibonacci \(p\)-numbers ⋮ An application of the \(t\)-extension of the \(p\)-Fibonacci Pascal matrix in coding theory ⋮ Linear recurrent cryptography: Golden-like cryptography for higher order linear recurrences ⋮ A Fibonacci-polynomial based coding method with error detection and correction ⋮ Some remarks regarding \(l\)-elements defined in algebras obtained by the Cayley-Dickson process ⋮ The generalized relations among the code elements for a new complex Fibonacci matrix ⋮ A new coding/decoding algorithm using Fibonacci numbers ⋮ A new class of Fibonacci sequence based error correcting codes ⋮ TRIBONACCI MATRICES AND A NEW CODING THEORY ⋮ FIBONACCI MATRICES AND HYBRID MATRIX CRYPTOGRAPHY ⋮ Some special number sequences obtained from a difference equation of degree three ⋮ CODING THEORY ON THE (m, t)-EXTENSION OF THE FIBONACCI p-NUMBERS ⋮ Some application of difference equations in Cryptography and Coding Theory ⋮ Coding theory on h(x) extension of m sequences for Fibonacci numbers ⋮ Pell coding and pell decoding methods with some applications ⋮ On the decoding of 1-Fibonacci error correcting codes ⋮ A new Gaussian Fibonacci matrices and its applications

Cites Work

• Fibonacci matrices, a generalization of the ``Cassini formula, and a new coding theory
• A review of \(E\) infinity theory and the mass spectrum of high energy particle physics
• Statistical geometry of a Cantor discretum and semiconductors
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