ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4

Dertli, Abdullah; Çengellenmiş, Yasemin

doi:10.31801/cfsuasmas.478655

ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4

Abdullah Dertli, (Ondokuz Mayıs Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Samsun, Türkiye)

Yasemin ÇENGELLENMİŞ (Trakya Üniversitesi, Fen Fakültesi, Matematik Bölümü, Edirne, Türkiye)

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics

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Yıl: 2019 Cilt: 68 Sayı: 1 Sayfa Aralığı: 809 - 823 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.478655 İndeks Tarihi: 19-11-2020

ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4

Öz:

Some results on linear codes over the ring Z4 + uZ4 + vZ4; u2 =u; v2 = v; uv = vu = 0 in [6,7] are generalized to the ring Dt = Z4 + v1Z4 +::: + vtZ4; v2i = vi; vivj = vjvi = 0 for i 6= j; 1 i; j t. A Gray map tfrom Dntto Z(t+1)n4is deÖned. The Gray images of the cyclic, constacyclicand quasi-cyclic codes over Dt are determined. The cyclic DNA codes over Dtare introduced. The binary images of them are determined. The nontrivialautomorphism on Di for i = 2; 3; :::; t is given. The skew cyclic, skew constacyclic and skew quasi-cyclic codes over Dt are introduced. The Gray imagesof them are determined. The skew cyclic DNA codes over Dt are introduced.Moreover, some properties of MDS codes over Dt are discussed.

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Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Dertli A, Çengellenmiş Y (2019). ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. , 809 - 823. 10.31801/cfsuasmas.478655
Chicago	Dertli Abdullah,Çengellenmiş Yasemin ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. (2019): 809 - 823. 10.31801/cfsuasmas.478655
MLA	Dertli Abdullah,Çengellenmiş Yasemin ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. , 2019, ss.809 - 823. 10.31801/cfsuasmas.478655
AMA	Dertli A,Çengellenmiş Y ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. . 2019; 809 - 823. 10.31801/cfsuasmas.478655
Vancouver	Dertli A,Çengellenmiş Y ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. . 2019; 809 - 823. 10.31801/cfsuasmas.478655
IEEE	Dertli A,Çengellenmiş Y "ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4." , ss.809 - 823, 2019. 10.31801/cfsuasmas.478655
ISNAD	Dertli, Abdullah - Çengellenmiş, Yasemin. "ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4". (2019), 809-823. https://doi.org/10.31801/cfsuasmas.478655

APA	Dertli A, Çengellenmiş Y (2019). ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68(1), 809 - 823. 10.31801/cfsuasmas.478655
Chicago	Dertli Abdullah,Çengellenmiş Yasemin ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68, no.1 (2019): 809 - 823. 10.31801/cfsuasmas.478655
MLA	Dertli Abdullah,Çengellenmiş Yasemin ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.68, no.1, 2019, ss.809 - 823. 10.31801/cfsuasmas.478655
AMA	Dertli A,Çengellenmiş Y ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 809 - 823. 10.31801/cfsuasmas.478655
Vancouver	Dertli A,Çengellenmiş Y ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 809 - 823. 10.31801/cfsuasmas.478655
IEEE	Dertli A,Çengellenmiş Y "ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68, ss.809 - 823, 2019. 10.31801/cfsuasmas.478655
ISNAD	Dertli, Abdullah - Çengellenmiş, Yasemin. "ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68/1 (2019), 809-823. https://doi.org/10.31801/cfsuasmas.478655