The Third Order Variant Narayana Codes and Some Straight Lines Corresponding to These

Çağla ÇELEMOĞLU

doi:https://doi.org/10.29130/dubited.1007719

Article Details

The Third Order Variant Narayana Codes and Some Straight Lines Corresponding to These

Authors:

Çağla ÇELEMOĞLU

Publisher:

Duzce University

Main Topics:

Applied physics

Journal:

Duzce University Journal of Science and Technology 2022 Vol.10 Issue 2, pp.862-871

Document Type:

Article

Publication Date:

4/2022

Document Language:

English

Document ID (Org No.):

2000945133

Frequency:

Quarterly

eISSN:

2148-2446

DOI:

https://doi.org/10.29130/dubited.1007719

Keywords:

Abstract:

 

In this study, firstly, we examined the second order variant Narayana codes and we got some results from the tables were displayed by Das and Sinha. Then, we studied on the third order variant Narayana code and we displayed these codes for some k positive integers and with tables. Also, we got some results from the tables. Then, we compared the results that we obtained from the tables for the third order variant Narayana universal code and the second order variant Narayana universal code in terms of cryptography. We found that third order variant Narayana universal code are much more advantageous than the second order variant Narayana universal code. Finally, we obtained some straight lines which yielding the some the third order Narayana codewords by considering (u,k) as a point in the (x,y) plane, from these tables.

 

Bu çalışmada, ilk olarak, ikinci mertebeden variant Narayana kodlarını inceledik ve bu kodlar ile ilgili Das ve Sinha tarafından elde edilen tablolardan bazı sonuçlar elde ettik. Ardından üçüncü mertebeden variant Narayana kodları üzerine çalıştık ve bazı pozitif   tam sayıları için bu kodları tablolar ile belirledik. Ayrıca, bu tablolardan bazı sonuçlar elde ettik. Sonrasında, ikinci ve üçüncü mertebeden variant Narayana kodlarını için tablolardan elde ettiğimiz sonuçları kriptografik açıdan karşılaştırdık. Üçüncü mertebeden variant Narayana kodlarının çok daha avantajlı olduğunu elde ettik. Son olarak (u,k) yı (x,y) düzleminde bir nokta olarak kabul ederek tablolara göre bazı Narayana kodlarını veren bazı doğrular elde ettik.

Article Details

The Third Order Variant Narayana Codes and Some Straight Lines Corresponding to These

Authors:

Çağla ÇELEMOĞLU

Publisher:

Duzce University

Main Topics:

Applied physics

Journal:

Duzce University Journal of Science and Technology 2022 Vol.10 Issue 2, pp.862-871

Document Type:

Article

Publication Date:

4/2022

Document Language:

English

Document ID (Org No.):

2000945133

Frequency:

Quarterly

eISSN:

2148-2446

DOI:

https://doi.org/10.29130/dubited.1007719

Fibonacci dizisi

Narayana evrensel kodu

kriptografi

Issues

Article Details

The Third Order Variant Narayana Codes and Some Straight Lines Corresponding to These

Authors: Çağla ÇELEMOĞLU

Publisher: Duzce University

Main Topics: Applied physics

Journal: Duzce University Journal of Science and Technology 2022 Vol.10 Issue 2, pp.862-871

Document Type: Article

Publication Date: 4/2022

Document Language: English

Document ID (Org No.): 2000945133

Frequency: Quarterly

eISSN: 2148-2446

DOI: https://doi.org/10.29130/dubited.1007719

Fibonacci dizisi

Narayana evrensel kodu

kriptografi

Issues

Authors:

Çağla ÇELEMOĞLU

Publisher:

Duzce University

Main Topics:

Applied physics

Journal:

Duzce University Journal of Science and Technology 2022 Vol.10 Issue 2, pp.862-871

Document Type:

Article

Publication Date:

4/2022

Document Language:

English

Document ID (Org No.):

2000945133

Frequency:

Quarterly

eISSN:

2148-2446

DOI:

https://doi.org/10.29130/dubited.1007719