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Your search keyword '"Nalli, Ayşe"' showing total 9 results
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9 results on '"Nalli, Ayşe"'

1. Restructuring of Discrete Logarithm Problem and ElGamal Cryptosystem by Using the Power Fibonacci Sequence Module M

Author

Ozyilmaz, Cagla and Nalli, Ayse

Subjects
Computer Science - Cryptography and Security, Mathematics - Number Theory
Abstract

In this paper, we have studied on adapting to asymmetric cryptography power Fibonacci sequence module m . To do this, We have restructed Discreate Logarithm Problem which is one of mathematical difficult problems by using power Fibonacci sequence module m and by means of this sequences, we have made the mathematical difficult problem which is used only in prime modules is also useful for composite modules. Then we have constructed cryptographic system based on this more difficult problem which we have rearranged. Hence, we have obtained a new cryptosystem as ElGamal Cryptosystem. Lastly, we have compared that ElGamal Cryptosystem and a new cryptosystem which we constitute in terms of cryptography and we have obtained that a new cryptosystem is more advantageuos than ElGamal Cryptosystem., Comment: arXiv admin note: substantial text overlap with arXiv:math/0510057 by other authors

Published
2018

7. On the norms of circulant matrices with generalized Fibonacci numbers

Author

Nalli, Ayşe, Şen, Murat, and Selçuk Üniversitesi

Subjects
Matematik, Matris normu, Generalized Fibonacci number, Matrix norm, Circulant matrix, Circulant matrisi, Genelleştirilmiş Fibonacci numarası
Abstract

URL: http://sjam.selcuk.edu.tr/sjam/article/view/257, In this paper, we obtain a generalization of [6]. We first construct the so-called circulant matrix with the generalized Fibonacci numbers and then present lower and upper bounds for the Euclidean and spectral norms of this matrix.

Published
2010

8. GCD-Reciprocal LCM matrisinin karakterizasyonu

Author

Nalli, Ayşe Tünay, Taşçı, Dursun, Enstitüler, Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalı, and Matematik Anabilim Dalı

Subjects
Matematik, Matrices, GCD-Reciprocal LCM matrisi, GCD-Reciprocal LCM matrix, Jordan'ın toplam fonksiyonu, GCD matrix, LCM matrix, GCD matrisi, LCM, GCD, Jordan's totient function, Mathematics, LCM matrisi
Abstract

Bu çalışmada, GCD ve LCM matrislerinden hareketle [A] = - matrisi, S = {xltx2,...,xn) farklı pozitif tamsayıların kümesi üzerinde tanımlanmış ve bu matris, GCD-Reciprocal LCM matrisi olarak adlandırılmıştır. GCD-Reciprocal LCM matrisinin yapısı karakterize edilmiş, determinantı, izi ve tersinin elemanları, bazı özel aritmetik fonksiyonlar kullanılarak hesaplanmıştır., In this study, a matrix [A] = fe >*,.)! has been defined on S = {xx,x2,...,xn} distinct positive integers set and called the GCD-Reciprocal LCM matrix. The structure of the GCD-Reciprocal LCM matrix have been investigated, the determinant, the trace and the entries of the inverse of [A] have been calculated in terms of some specific arithmetical functions.

Published
2003

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