Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/56273
Title: THE MOORE-PENROSE INVERSE OF THE RECTANGULAR FIBONACCI MATRIX AND APPLICATIONS TO THE CRYPTOLOGY
Authors: Aydınyuz, Süleyman
Aşcı, Mustafa
Keywords: Fibonacci matrix
the Moore-Penrose generalized inverse
pseudo-inverse
encryption
cryptology
Publisher: Pushpa Publishing House
Abstract: In this paper, we define the general form of the Moore-Penrose inverse for the matrix whose elements are Fibonacci numbers. We examine the states of the matrix F e Mm ,n(C), where F is a rectangular Fibonacci matrix based on the values of m and n. In the second part of this study, we introduce a novel coding theory using the Moore-Penrose inverse of the rectangular Fibonacci matrix and provide illustrative examples. The rectangular Fibonacci matrix plays a crucial role in the construction of the coding algorithm. This coding method is referred to as the coding theory on rectangular Fibonacci matrix.
URI: https://doi.org/10.17654/0974165823066
https://hdl.handle.net/11499/56273
ISSN: 0974-1658
Appears in Collections:Fen Fakültesi Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Show full item record



CORE Recommender

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.