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Year 2016, Volume: 4 Issue: 1, 40 - 44, 15.04.2016
https://doi.org/10.36753/mathenot.421358

Abstract

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.

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

Year 2016, Volume: 4 Issue: 1, 40 - 44, 15.04.2016
https://doi.org/10.36753/mathenot.421358

Abstract


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.
There are 9 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Mustafa Özkan

Figen Öke

Publication Date April 15, 2016
Submission Date August 5, 2015
Published in Issue Year 2016 Volume: 4 Issue: 1

Cite

APA Özkan, M., & Öke, F. (2016). On Some Special Codes Over F3 + vF3 + uF3 + u2F3. Mathematical Sciences and Applications E-Notes, 4(1), 40-44. https://doi.org/10.36753/mathenot.421358
AMA Özkan M, Öke F. On Some Special Codes Over F3 + vF3 + uF3 + u2F3. Math. Sci. Appl. E-Notes. April 2016;4(1):40-44. doi:10.36753/mathenot.421358
Chicago Özkan, Mustafa, and Figen Öke. “On Some Special Codes Over F3 + VF3 + UF3 + u2F3”. Mathematical Sciences and Applications E-Notes 4, no. 1 (April 2016): 40-44. https://doi.org/10.36753/mathenot.421358.
EndNote Özkan M, Öke F (April 1, 2016) On Some Special Codes Over F3 + vF3 + uF3 + u2F3. Mathematical Sciences and Applications E-Notes 4 1 40–44.
IEEE M. Özkan and F. Öke, “On Some Special Codes Over F3 + vF3 + uF3 + u2F3”, Math. Sci. Appl. E-Notes, vol. 4, no. 1, pp. 40–44, 2016, doi: 10.36753/mathenot.421358.
ISNAD Özkan, Mustafa - Öke, Figen. “On Some Special Codes Over F3 + VF3 + UF3 + u2F3”. Mathematical Sciences and Applications E-Notes 4/1 (April 2016), 40-44. https://doi.org/10.36753/mathenot.421358.
JAMA Özkan M, Öke F. On Some Special Codes Over F3 + vF3 + uF3 + u2F3. Math. Sci. Appl. E-Notes. 2016;4:40–44.
MLA Özkan, Mustafa and Figen Öke. “On Some Special Codes Over F3 + VF3 + UF3 + u2F3”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 1, 2016, pp. 40-44, doi:10.36753/mathenot.421358.
Vancouver Özkan M, Öke F. On Some Special Codes Over F3 + vF3 + uF3 + u2F3. Math. Sci. Appl. E-Notes. 2016;4(1):40-4.

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