Companion matrices and golden-Fibonacci sequences

DOI10.1007/s12190-019-01240-7zbMath1425.15034OpenAlexW2912071522MaRDI QIDQ2008047

Ali Zaghian, Mohsen Mousavi, Morteza Esmaeili

Publication date: 22 November 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01240-7

zbMATH Keywords

companion matrixgolden ratiogolden-Fibonacci sequence

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• A new class of Fibonacci sequence based error correcting codes
• Fibonacci matrices, a generalization of the ``Cassini formula, and a new coding theory
• An improved coding method of quantum key distribution protocols based on Fibonacci-valued OAM entangled states
• CODING THEORY ON FIBONACCI n-STEP NUMBERS
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