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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2019 / Cilt: 37 - Sayı: 2

ON CYCLIC CODES AND CYCLIC LCD CODES FROM THE FAMILY OF GROUP RINGS ℤ4Cn

Mehmet Emin KÖROĞLU
Bayram Ali ERSOY
Pages
541–549
Publication Date
2019-06-01
DOI
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AI Summary & Key Takeaways

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

Moreover, we show that there is no non-free cyclic LCD ℤ4 codes.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we study the structure of cyclic zero divisor codes over a family of group rings.
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Key Findings & Data:We determine the number of elements of these codes and introduce the dual codes.
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Conclusion & Impact:Moreover, we show that there is no non-free cyclic LCD ℤ4 codes.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Group rings · cyclic codes · zero divisors

Abstract

In this work, we study the structure of cyclic zero divisor codes over a family of group rings. We determine the number of elements of these codes and introduce the dual codes. Moreover, we show that there is no non-free cyclic LCD ℤ4 codes.

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Cite This Article

KÖROĞLU, M. E., ERSOY, B. A. (2019). ON CYCLIC CODES AND CYCLIC LCD CODES FROM THE FAMILY OF GROUP RINGS ℤ4Cn. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 37 - Sayı: 2, 541–549. https://ajindex.com/articles/419362

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