Yıl 2018, Cilt 6, Sayı 1, Sayfalar 54 - 56 2018-04-15

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

Mustafa Özkan [1] , Figen Öke [2]

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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.

Lexicographically ordered, Hadamard Codes, Codes over Ring
  • [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.
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Dergi Bölümü Articles
Yazarlar

Yazar: Mustafa Özkan (Sorumlu Yazar)
Ülke: Turkey


Yazar: Figen Öke
Ülke: Turkey


Bibtex @konferans bildirisi { konuralpjournalmath368781, journal = {Konuralp Journal of Mathematics}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2018}, volume = {6}, pages = {54 - 56}, doi = {}, title = {Codes Generated by Special Matrices on \$ \\mathbb\{F\}\_2[u]/<u\^3> \$}, key = {cite}, author = {Özkan, Mustafa and Öke, Figen} }
APA Özkan, M , Öke, F . (2018). Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/<u^3> $. Konuralp Journal of Mathematics, 6 (1), 54-56. Retrieved from http://dergipark.gov.tr/konuralpjournalmath/issue/31478/368781
MLA Özkan, M , Öke, F . "Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/<u^3> $". Konuralp Journal of Mathematics 6 (2018): 54-56 <http://dergipark.gov.tr/konuralpjournalmath/issue/31478/368781>
Chicago Özkan, M , Öke, F . "Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/<u^3> $". Konuralp Journal of Mathematics 6 (2018): 54-56
RIS TY - JOUR T1 - Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/<u^3> $ AU - Mustafa Özkan , Figen Öke Y1 - 2018 PY - 2018 N1 - DO - T2 - Konuralp Journal of Mathematics JF - Journal JO - JOR SP - 54 EP - 56 VL - 6 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2018 ER -
EndNote %0 Konuralp Journal of Mathematics Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/<u^3> $ %A Mustafa Özkan , Figen Öke %T Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/<u^3> $ %D 2018 %J Konuralp Journal of Mathematics %P -2147-625X %V 6 %N 1 %R %U
ISNAD Özkan, Mustafa , Öke, Figen . "Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/<u^3> $". Konuralp Journal of Mathematics 6 / 1 (Nisan 2018): 54-56.