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Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/<u^3> $

Yıl 2018, Cilt: 6 Sayı: 1, 54 - 56, 15.04.2018

Mustafa Özkan , Figen Öke

Öz

In this study, the results obtained by authors M. Ozkan and F. Oke [2] is extended the ring $ \mathbb{F}_2[u]/<u^3> $. Certain matrices lexicographically ordered are written using the elements of $ \mathbb{F}_2[u]/<u^3> $. The relations between the codes generated by these matrices and Hadamard codes are given.

Anahtar Kelimeler

Lexicographically ordered Hadamard Codes Codes over Ring

Kaynakça

  • [1] Özkan, M. and Öke, F., On Codes written by matrices Lexicographically ordered, AIP Conf. Proceeding Vol:1926 (2018), 020035-1-020035-3.
  • [2] Özkan, M. and Öke, F., A relation between Hadamard codes and some special codes over F2 +uF2, App Mathematics and Inf. Sci. Vol:10, No:2 (2016), 701-704.
  • [3] Krotov, D. S., Z4-linear perfect codes, Diskretn. Anal. Issled. Oper. Ser.1 Vol:7, No:4 (2000), 78-90.
  • [4] Qian, J. , Zhang, L. and Zhu S., Constacyclic and cycliccodes over F2 +uF2 +u2F2, IEICE Trans. Fundamentals, E89-A, No: 6, (2006)1863-1865.
  • [5] Vermani, L. R., Elements of Algebraic Coding Theorytivity, Chapman Hall , India, 1996.
  • [6] Udomkavanich, P., Jitman, S., On the Gray Image of of ($1 - {u^m}$ )-Cyclic Codes ${\mathbb{F}_{p{\,^k}}}\, + \,u\,{\mathbb{F}_{p{\,^k}}} + ... + {u^m}{\mathbb{F}_{p{\,^k}}}$, Int. J. Contemp. Math. Sciences, Vol.26, No: 4, (2009)1265-1272.

Yıl 2018, Cilt: 6 Sayı: 1, 54 - 56, 15.04.2018

Mustafa Özkan , Figen Öke

Öz

Kaynakça

  • [1] Özkan, M. and Öke, F., On Codes written by matrices Lexicographically ordered, AIP Conf. Proceeding Vol:1926 (2018), 020035-1-020035-3.
  • [2] Özkan, M. and Öke, F., A relation between Hadamard codes and some special codes over F2 +uF2, App Mathematics and Inf. Sci. Vol:10, No:2 (2016), 701-704.
  • [3] Krotov, D. S., Z4-linear perfect codes, Diskretn. Anal. Issled. Oper. Ser.1 Vol:7, No:4 (2000), 78-90.
  • [4] Qian, J. , Zhang, L. and Zhu S., Constacyclic and cycliccodes over F2 +uF2 +u2F2, IEICE Trans. Fundamentals, E89-A, No: 6, (2006)1863-1865.
  • [5] Vermani, L. R., Elements of Algebraic Coding Theorytivity, Chapman Hall , India, 1996.
  • [6] Udomkavanich, P., Jitman, S., On the Gray Image of of ($1 - {u^m}$ )-Cyclic Codes ${\mathbb{F}_{p{\,^k}}}\, + \,u\,{\mathbb{F}_{p{\,^k}}} + ... + {u^m}{\mathbb{F}_{p{\,^k}}}$, Int. J. Contemp. Math. Sciences, Vol.26, No: 4, (2009)1265-1272.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Mustafa Özkan

Figen Öke

Yayımlanma Tarihi 15 Nisan 2018
Gönderilme Tarihi 19 Aralık 2017
Kabul Tarihi 6 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 6 Sayı: 1

Kaynak Göster

APA Özkan, M., & Öke, F. (2018). Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/ $. Konuralp Journal of Mathematics, 6(1), 54-56.
AMA Özkan M, Öke F. Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/ $. Konuralp J. Math. Nisan 2018;6(1):54-56.
Chicago Özkan, Mustafa, ve Figen Öke. “Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/ $”. Konuralp Journal of Mathematics 6, sy. 1 (Nisan 2018): 54-56.
EndNote Özkan M, Öke F (01 Nisan 2018) Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/ $. Konuralp Journal of Mathematics 6 1 54–56.
IEEE M. Özkan ve F. Öke, “Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/ $”, Konuralp J. Math., c. 6, sy. 1, ss. 54–56, 2018.
ISNAD Özkan, Mustafa - Öke, Figen. “Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/ $”. Konuralp Journal of Mathematics 6/1 (Nisan 2018), 54-56.
JAMA Özkan M, Öke F. Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/ $. Konuralp J. Math. 2018;6:54–56.
MLA Özkan, Mustafa ve Figen Öke. “Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/ $”. Konuralp Journal of Mathematics, c. 6, sy. 1, 2018, ss. 54-56.
Vancouver Özkan M, Öke F. Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/ $. Konuralp J. Math. 2018;6(1):54-6.
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