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Yıl 2019 ,
Cilt: 9 Sayı: 4, 876 - 881, 01.12.2019
M. Özkan
A. Dertli
Y. Cengellenmis
Kaynakça
M. C. Amarra, F. R. Nemenzo, (2008), On (1 − u)-cyclic codes over Fpk+ uFpk, Applied Mathematics Letters, 21, pp. 1129-1133.
Y. Cengellenmis, (2009), On (1 + um)-cyclic codes over F+ uF2+ ... + umF2, Int J.Contemp. Math Sciences, 20 (4), pp. 987-992.
S. Karadeniz, B. Yldz, (2011), On (1 − v)-constacyclic codes over F2+ uF2+ vF2+ uvF2, Journal of the Franklin Institude , 348, pp. 2625-2632.
J.F. Qian, L. N. Zhang, S. X. Zhu, (2006), ( (1 + u)-constacyclic and cyclic codes over F2+ uF2, Applied Mathematics Letters 19, pp. 820-823.
J. F. Qian, L. N. Zhang, S. X. Zhu, (2006), Constacyclic and cyclic codes over F2+ uF2+ u2F2, IEICE Trans.Fundamentals, 89-a (6), pp. 1863-1865.
J.Wolfmann, (1999), Negacyclic and cyclic codes over Z4, IEEE Trans. Inf. Theory, 45, pp. 2527-2532.
Xu Xioafang, (2013), (1+v)-constacyclic codes over F2+ uF2+ vF , Computer Engineering and Applications, 49 (12), pp. 77-79.
ON GRAY IMAGES OF CONSTACYCLIC CODES OVER THE FINITE RING F2 + u1 F2 + u2 F2
Yıl 2019 ,
Cilt: 9 Sayı: 4, 876 - 881, 01.12.2019
M. Özkan
A. Dertli
Y. Cengellenmis
Öz
We introduce the nite ring F2 + u1F2 + u2F2, u1 2 = u1 ; u2 2 = 0 ; u1:u2 = u2:u1 = 0 which is not a nite chain ring. We focus on 1 + u2 -constacyclic codes over F2 + u1F2 + u2F2 of odd length. We prove that the Gray image of a linear 1 + u2 -constacyclic code over F2 + u1F2 + u2F2 of odd length n is a quasi-cyclic code of index 4 and length 4n over F2.
Kaynakça
M. C. Amarra, F. R. Nemenzo, (2008), On (1 − u)-cyclic codes over Fpk+ uFpk, Applied Mathematics Letters, 21, pp. 1129-1133.
Y. Cengellenmis, (2009), On (1 + um)-cyclic codes over F+ uF2+ ... + umF2, Int J.Contemp. Math Sciences, 20 (4), pp. 987-992.
S. Karadeniz, B. Yldz, (2011), On (1 − v)-constacyclic codes over F2+ uF2+ vF2+ uvF2, Journal of the Franklin Institude , 348, pp. 2625-2632.
J.F. Qian, L. N. Zhang, S. X. Zhu, (2006), ( (1 + u)-constacyclic and cyclic codes over F2+ uF2, Applied Mathematics Letters 19, pp. 820-823.
J. F. Qian, L. N. Zhang, S. X. Zhu, (2006), Constacyclic and cyclic codes over F2+ uF2+ u2F2, IEICE Trans.Fundamentals, 89-a (6), pp. 1863-1865.
J.Wolfmann, (1999), Negacyclic and cyclic codes over Z4, IEEE Trans. Inf. Theory, 45, pp. 2527-2532.
Xu Xioafang, (2013), (1+v)-constacyclic codes over F2+ uF2+ vF , Computer Engineering and Applications, 49 (12), pp. 77-79.
Toplam 7 adet kaynakça vardır.
Ayrıntılar
Birincil Dil
İngilizce
Bölüm
Research Article
Yazarlar
M. Özkan
Bu kişi benim
Department of Mathematics, Trakya University, Edirne, Turkey
A. Dertli
Bu kişi benim
Department of Mathematics, Ondokuz Mayis University, Samsun, Turkey
Y. Cengellenmis
Bu kişi benim
Department of Mathematics, Trakya University, Edirne, Turkey
Yayımlanma Tarihi
1 Aralık 2019
Yayımlandığı Sayı
Yıl 2019
Cilt: 9 Sayı: 4