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Journals / Düzce Üniversitesi Bilim ve Teknoloji Dergisi / 2022 / Cilt: 10 - Sayı: 2

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

Üçüncü Mertebeden Varyant Narayana Kodları ve Bunlara Karşılık Gelen Bazı Doğrular

Cagla CELEMOGLU
Pages
862–871
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:Then, we studied on the third order variant Narayana code and we displayed these codes for some k positive integers and with tables.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fibonacci dizisi · Narayana evrensel kodu · kriptografi

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.

Özet

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.

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Cite This Article

CELEMOGLU, C. (2022). The Third Order Variant Narayana Codes and Some Straight Lines Corresponding to These. Düzce Üniversitesi Bilim ve Teknoloji Dergisi, Cilt: 10 - Sayı: 2, 862–871. https://ajindex.com/articles/493837

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