CODING THEORY ON THE (m, t)-EXTENSION OF THE FIBONACCI p-NUMBERS

DOI10.1142/S1793830911001097zbMath1258.11021MaRDI QIDQ3087100

Bandhu Prasad, Manjusri Basu

Publication date: 2 August 2011

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

Fibonacci numbersFibonacci matrixcode matrixFibonacci coding/decodinggolden proportions

Mathematics Subject Classification ID

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

Related Items (4)

An application of the \(t\)-extension of the \(p\)-Fibonacci Pascal matrix in coding theory ⋮ Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices ⋮ Some application of difference equations in Cryptography and Coding Theory ⋮ On the decoding of 1-Fibonacci error correcting codes

Cites Work

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• On the \(m\)-extension of the Fibonacci and Lucas \(p\)-numbers
• The generalized relations among the code elements for Fibonacci coding theory
• Coding theory on the \(m\)-extension of the Fibonacci \(p\)-numbers
• On \(k\)-Fibonacci sequences and polynomials and their derivatives
• 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
• The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers
• The ``golden matrices and a new kind of cryptography
• The ``golden hyperbolic models of Universe
• The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle

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