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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 37 Issue: 2

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

Mehmet Emin Köroğlu(YILDIZ TECHNICAL UNIVERSITY)0000-0002-9173-4944
Bayram Ali Ersoy(YILDIZ TECHNICAL UNIVERSITY)0000-0002-8307-9644
Sayfa
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Yayın Tarihi
2019-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this work, we study the structure of cyclic zero divisor codes over a family of group rings.
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Temel Bulgular & Veri:We determine the number of elements of these codes and introduce the dual codes.
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Sonuç & Katkı:Moreover, we show that there is no non-free cyclic LCD ℤ4 codes.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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, Volume: 37 Issue: 2. https://ajindex.com/articles/1345001

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