The Moore-Penrose inverse of the rectangular Fibonacci matrix and applications to the cryptology

DOI10.17654/0974165823066MaRDI QIDQ6490055

Mustafa Asci, Suleyman Aydinyuz

Publication date: 22 April 2024

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

zbMATH Keywords

pseudo-inversecryptologyencryptionFibonacci matrixthe Moore-Penrose generalized inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Applications to coding theory and cryptography of arithmetic geometry (14G50) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

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
• The Moore-Penrose inverse of a factorization
• CODING THEORY ON FIBONACCI n-STEP NUMBERS
• The Moore-Penrose Pseudoinverse of an Arbitrary, Square, k -circulant Matrix
• The Moore of the Moore-Penrose inverse
• The Moore--Penrose Generalized Inverse for Sums of Matrices
• k-order Gaussian Fibonacci polynomials and applications to the coding/decoding theory
• TRIBONACCI MATRICES AND A NEW CODING THEORY
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