k-order Gaussian Fibonacci polynomials and applications to the coding/decoding theory

DOI10.1080/09720529.2020.1816917zbMath1501.94115OpenAlexW3117165932MaRDI QIDQ5043894

Suleyman Aydinyuz, Mustafa Asci

Publication date: 6 October 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2020.1816917

zbMATH Keywords

Fibonacci numbersFibonacci polynomialsGaussian Fibonacci numbers\(k\)-order Gaussian Fibonacci numbers\(k\)-order Gaussian Fibonacci polynomial coding/decoding theory\(k\)-order Gaussian Fibonacci polynomialscoding/decoding method

Mathematics Subject Classification ID

Other types of codes (94B60) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

GAUSSIAN PENTANACCI NUMBERS AND POLYNOMIALS

Cites Work

• The generalized relations among the code elements for Fibonacci coding theory
• Fibonacci matrices, a generalization of the ``Cassini formula, and a new coding theory
• CODING THEORY ON FIBONACCI n-STEP NUMBERS
• Binary Lucas and Fibonacci Polynomials, I
• TRIBONACCI MATRICES AND A NEW CODING THEORY
• A Generalized Fibonacci Sequence
• Complex Fibonacci Numbers and Fibonacci Quaternions
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