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BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 5 Sayı: 1, 93 - 98, 30.04.2017
https://doi.org/10.36753/mathenot.421710

Öz

Kaynakça

  • [1] Özkan, M. and Öke F., A relation between Hadamard codes and some special codes over F2 + uF2. App. Mathematics and Inf. Sci 10 (2016), no. 2, 701-704.
  • [2] Jian-Fa,Q.,Zhang L.N. and Zhu S.X.,(1 + u)- cyclic and cyclic codes over the ring F2 + uF2. Applied Mathematics Letters,19, (2006), 820-823.
  • [3] Zhu, S., Wang, Y. and Shi, M., Some result on cyclic codes over F2 + vF2 . IEEE Trans. Inf. Theory, 56, (2010), no.4, 1680-1684.
  • [4] Krotov, D. S., Z4-linear perfect codes. Diskretn. Anal. Issled. Oper,7, (2000),no.4, 78-90.
  • [5] Krotov,D. S., Z4-linear Hadamard and extended perfect codes. Procs. of the International Workshop on Coding and Cryptography,Paris, (2001), 329-334.
  • [6] Vermani, L.,R., Elemants,of Algebraic Coding Theory. Chapman Hall, India, (1996).
  • [7] Wolfmann J., Negacyclic and cyclic codes over Z4. IEEE Trans. Inf. Theory, 45, (1999), 2527-2532.
  • [8] Bonnecaze A. and Udaya P., Cyclic codes and self dual codes F2 + uF2. IEEE Trans. Inf. Theory, 45, (1999), 1250-1255.
  • [9] Özkan, M. and Öke F., On Some Special Codes Over F3 + vF3 + uF3 + u2F3. Mathematical Sci. and App. E-Notes 4 (2016), no.1, 40-44.
  • [10] Özkan, M. and Öke F., Gray images of (1 + v)− constacyclic codes over a particular ring. Palestine Journal of Mathematics, (accepted).

Codes Defined via Especial Matrices over the Ring and Hadamard Codes

Yıl 2017, Cilt: 5 Sayı: 1, 93 - 98, 30.04.2017
https://doi.org/10.36753/mathenot.421710

Öz

In this study, certain matrices are obtained using the elements of a finite chain ring. Then using these
matrices as generator matrices; certain codes and their duals are obtained. Moreover relations between
these codes, binary codes and Hadamard codes are explained.

Kaynakça

  • [1] Özkan, M. and Öke F., A relation between Hadamard codes and some special codes over F2 + uF2. App. Mathematics and Inf. Sci 10 (2016), no. 2, 701-704.
  • [2] Jian-Fa,Q.,Zhang L.N. and Zhu S.X.,(1 + u)- cyclic and cyclic codes over the ring F2 + uF2. Applied Mathematics Letters,19, (2006), 820-823.
  • [3] Zhu, S., Wang, Y. and Shi, M., Some result on cyclic codes over F2 + vF2 . IEEE Trans. Inf. Theory, 56, (2010), no.4, 1680-1684.
  • [4] Krotov, D. S., Z4-linear perfect codes. Diskretn. Anal. Issled. Oper,7, (2000),no.4, 78-90.
  • [5] Krotov,D. S., Z4-linear Hadamard and extended perfect codes. Procs. of the International Workshop on Coding and Cryptography,Paris, (2001), 329-334.
  • [6] Vermani, L.,R., Elemants,of Algebraic Coding Theory. Chapman Hall, India, (1996).
  • [7] Wolfmann J., Negacyclic and cyclic codes over Z4. IEEE Trans. Inf. Theory, 45, (1999), 2527-2532.
  • [8] Bonnecaze A. and Udaya P., Cyclic codes and self dual codes F2 + uF2. IEEE Trans. Inf. Theory, 45, (1999), 1250-1255.
  • [9] Özkan, M. and Öke F., On Some Special Codes Over F3 + vF3 + uF3 + u2F3. Mathematical Sci. and App. E-Notes 4 (2016), no.1, 40-44.
  • [10] Özkan, M. and Öke F., Gray images of (1 + v)− constacyclic codes over a particular ring. Palestine Journal of Mathematics, (accepted).
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Mustafa Özkan

Figen Öke

Yayımlanma Tarihi 30 Nisan 2017
Gönderilme Tarihi 31 Aralık 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA Özkan, M., & Öke, F. (2017). Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Mathematical Sciences and Applications E-Notes, 5(1), 93-98. https://doi.org/10.36753/mathenot.421710
AMA Özkan M, Öke F. Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Math. Sci. Appl. E-Notes. Nisan 2017;5(1):93-98. doi:10.36753/mathenot.421710
Chicago Özkan, Mustafa, ve Figen Öke. “Codes Defined via Especial Matrices over the Ring and Hadamard Codes”. Mathematical Sciences and Applications E-Notes 5, sy. 1 (Nisan 2017): 93-98. https://doi.org/10.36753/mathenot.421710.
EndNote Özkan M, Öke F (01 Nisan 2017) Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Mathematical Sciences and Applications E-Notes 5 1 93–98.
IEEE M. Özkan ve F. Öke, “Codes Defined via Especial Matrices over the Ring and Hadamard Codes”, Math. Sci. Appl. E-Notes, c. 5, sy. 1, ss. 93–98, 2017, doi: 10.36753/mathenot.421710.
ISNAD Özkan, Mustafa - Öke, Figen. “Codes Defined via Especial Matrices over the Ring and Hadamard Codes”. Mathematical Sciences and Applications E-Notes 5/1 (Nisan 2017), 93-98. https://doi.org/10.36753/mathenot.421710.
JAMA Özkan M, Öke F. Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Math. Sci. Appl. E-Notes. 2017;5:93–98.
MLA Özkan, Mustafa ve Figen Öke. “Codes Defined via Especial Matrices over the Ring and Hadamard Codes”. Mathematical Sciences and Applications E-Notes, c. 5, sy. 1, 2017, ss. 93-98, doi:10.36753/mathenot.421710.
Vancouver Özkan M, Öke F. Codes Defined via Especial Matrices over the Ring and Hadamard Codes. Math. Sci. Appl. E-Notes. 2017;5(1):93-8.

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