On Some Special Codes Over F3 + vF3 + uF3 + u2F3

Year 2016, Volume: 4 Issue: 1 , 40 - 44 , 15.04.2016

Mustafa Özkan , Figen Öke

https://doi.org/10.36753/mathenot.421358

Cited By: 3

https://izlik.org/JA97LU56YN

Abstract

Keywords

Linear Codes , Quasi-Cylic Codes , Gray Map , Codes Over Rings

References

• [1] Roman S., Coding and Information Theory, Graduate Texts in Mathematics. Springer Verlag, (1992).
• [2] Wolfmann J., Negacyclic and cyclic codes over Z4. IEEE Trans. Inf. Theory, 45, (1999), 2527-2532.
• [3] Ling S., Blackford J. T., Zpk+1_linear codes. IEEE Trans. On Inform. Theory, 45, (2006), no.9, 2592-2605.
• [4] Jian-Fa,Q.,Zhang L.N.,Zhu S.X.,(1 + u)- cyclic and cyclic codes over the ring F2 + uF2. Applied Mathematics Letters,19, (2006), 820-823.
• [5] Jian-Fa,Q.,Zhang L.N.,Zhu S.X., Constacyclic and cyclic codes over F2 + uF2 + u2F2. IEICE Trans. Fundamentals, 89, (2006), no.6, 1863-1865.
• [6] Amarra M.C., Nemenzo F.R,On (1 􀀀 u)􀀀cyclic codes over Fkp+ uFkp.Applied Mathematics Letters, 21, (2008), 1129-1133.
• [7] Udomkavanich P., Jitman S. ,On the Gray image of (1􀀀um)􀀀cyclic codes Fp k +uFp k +:::+umFp k .Int.J.Contemp. Math. Sciences, 4, (2009), no.26, 1265-1272.
• [8] S.Karadeniz, B.Yildiz,On (1+v)􀀀constacyclic codes over F2 +uF2 +vF2 +uvF2.Journal of the Franklin Institude, 348, (2011), 2625-2632.
• [9] B.Yildiz,S.Karadeniz,Linear codes over F2 + uF2 + vF2 + uvF2 .Des. Codes Cryptgr., 54, (2010), 61-71. [10] Xu Xioafang,(1 + v)􀀀constacyclic codes over F2 + uF2 + vF2 . Computer Engineering and Applications,49 , (2013), no.12, 77-79.