Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 5 Sayı: 2, 69 - 75, 30.10.2017
https://doi.org/10.36753/mathenot.421738

Öz

Kaynakça

  • [1] Abualrub, T., Siap, I. and Aydin, N.,Z2Z4-additive cyclic codes, IEEE Trans. Inform. Theory, Vol. 60, No. 3, pp. 1508-1514, Mar. 2014.
  • [2] Abualrub, T. and Siap, I., Cyclic codes over the rings Z2 + uZ2 and Z2 + uZ2 + u2Z2, Designs Codes and Cryptography. Vol.42, No.3, 273-287(2007).
  • [3] Aydogdu, I. and Siap, I., The Structure of Z2Z2s−Additive Codes: Bounds on the minimum distance, Applied Mathematics and Information Sciences,7, (6), 2271-2278, 2013.
  • [4] Aydogdu, I., Abualrub, T. and Siap, I., On Z2Z2[u]−additive codes, International Journal of Computer Mathematics, vol.92, no. 9, pp. 1806-1814, 2015.
  • [5] Bonnecaze, A. and Udaya, P., Cyclic codes and self-dual codes over F2 + uF2, IEEE Trans. Inform. Theory. Vol.45, No.4, 1250-1255, 1999.
  • [6] Borges, J., Fernández-Córdoba, C., Pujol, J., Rifà, J. and Villanueva, M., Z2Z4-linear codes: Generator Matrices and Duality, Designs, Codes and Cryptography, 54, (2), 167-179, 2010.
  • [7] J. H. Conway, and N. J. A. Sloane, A new upper bound on the minimal distance of self-dual codes, IEEE Trans. Inform. Theory, Vol. 36, No. 6, pp. 1319–1333, 1990.
  • [8] S.T. Dougherty, P. Gaborit, M. Harada and P. Solé, Type II codes over F2 + uF2, IEEE Trans. Inform. Theory, Vol. 45, pp.32-45, 1999.
  • [9] Grassl, M., Code tables: Bounds on the parameters of various types of codes, Online database. Available at http://www.codetables.de/
  • [10] Kaya, A. Yildiz, B., New extremal binary self-dual codes of length 68, J. Algebra Comb. Discrete Appl., Vol. 1, No. 1, 29-39, 2014.
  • [11] Qian, J.F., Zhang, L.N. and Zhu, S.X., (1 + u)-constacyclic and cyclic codes over F2 + uF2, Applied Math. Letters 19 (2006) 820-823.

On Self-Dual Z2Z2[u]-linear Codes

Yıl 2017, Cilt: 5 Sayı: 2, 69 - 75, 30.10.2017
https://doi.org/10.36753/mathenot.421738

Öz


Kaynakça

  • [1] Abualrub, T., Siap, I. and Aydin, N.,Z2Z4-additive cyclic codes, IEEE Trans. Inform. Theory, Vol. 60, No. 3, pp. 1508-1514, Mar. 2014.
  • [2] Abualrub, T. and Siap, I., Cyclic codes over the rings Z2 + uZ2 and Z2 + uZ2 + u2Z2, Designs Codes and Cryptography. Vol.42, No.3, 273-287(2007).
  • [3] Aydogdu, I. and Siap, I., The Structure of Z2Z2s−Additive Codes: Bounds on the minimum distance, Applied Mathematics and Information Sciences,7, (6), 2271-2278, 2013.
  • [4] Aydogdu, I., Abualrub, T. and Siap, I., On Z2Z2[u]−additive codes, International Journal of Computer Mathematics, vol.92, no. 9, pp. 1806-1814, 2015.
  • [5] Bonnecaze, A. and Udaya, P., Cyclic codes and self-dual codes over F2 + uF2, IEEE Trans. Inform. Theory. Vol.45, No.4, 1250-1255, 1999.
  • [6] Borges, J., Fernández-Córdoba, C., Pujol, J., Rifà, J. and Villanueva, M., Z2Z4-linear codes: Generator Matrices and Duality, Designs, Codes and Cryptography, 54, (2), 167-179, 2010.
  • [7] J. H. Conway, and N. J. A. Sloane, A new upper bound on the minimal distance of self-dual codes, IEEE Trans. Inform. Theory, Vol. 36, No. 6, pp. 1319–1333, 1990.
  • [8] S.T. Dougherty, P. Gaborit, M. Harada and P. Solé, Type II codes over F2 + uF2, IEEE Trans. Inform. Theory, Vol. 45, pp.32-45, 1999.
  • [9] Grassl, M., Code tables: Bounds on the parameters of various types of codes, Online database. Available at http://www.codetables.de/
  • [10] Kaya, A. Yildiz, B., New extremal binary self-dual codes of length 68, J. Algebra Comb. Discrete Appl., Vol. 1, No. 1, 29-39, 2014.
  • [11] Qian, J.F., Zhang, L.N. and Zhu, S.X., (1 + u)-constacyclic and cyclic codes over F2 + uF2, Applied Math. Letters 19 (2006) 820-823.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

İsmail Aydogdu Bu kişi benim

Abidin Kaya Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2017
Gönderilme Tarihi 17 Ekim 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA Aydogdu, İ., & Kaya, A. (2017). On Self-Dual Z2Z2[u]-linear Codes. Mathematical Sciences and Applications E-Notes, 5(2), 69-75. https://doi.org/10.36753/mathenot.421738
AMA Aydogdu İ, Kaya A. On Self-Dual Z2Z2[u]-linear Codes. Math. Sci. Appl. E-Notes. Ekim 2017;5(2):69-75. doi:10.36753/mathenot.421738
Chicago Aydogdu, İsmail, ve Abidin Kaya. “On Self-Dual Z2Z2[u]-Linear Codes”. Mathematical Sciences and Applications E-Notes 5, sy. 2 (Ekim 2017): 69-75. https://doi.org/10.36753/mathenot.421738.
EndNote Aydogdu İ, Kaya A (01 Ekim 2017) On Self-Dual Z2Z2[u]-linear Codes. Mathematical Sciences and Applications E-Notes 5 2 69–75.
IEEE İ. Aydogdu ve A. Kaya, “On Self-Dual Z2Z2[u]-linear Codes”, Math. Sci. Appl. E-Notes, c. 5, sy. 2, ss. 69–75, 2017, doi: 10.36753/mathenot.421738.
ISNAD Aydogdu, İsmail - Kaya, Abidin. “On Self-Dual Z2Z2[u]-Linear Codes”. Mathematical Sciences and Applications E-Notes 5/2 (Ekim 2017), 69-75. https://doi.org/10.36753/mathenot.421738.
JAMA Aydogdu İ, Kaya A. On Self-Dual Z2Z2[u]-linear Codes. Math. Sci. Appl. E-Notes. 2017;5:69–75.
MLA Aydogdu, İsmail ve Abidin Kaya. “On Self-Dual Z2Z2[u]-Linear Codes”. Mathematical Sciences and Applications E-Notes, c. 5, sy. 2, 2017, ss. 69-75, doi:10.36753/mathenot.421738.
Vancouver Aydogdu İ, Kaya A. On Self-Dual Z2Z2[u]-linear Codes. Math. Sci. Appl. E-Notes. 2017;5(2):69-75.

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