Dergiler / Mathematical Sciences and Applications E-Notes / 2017 / Cilt: 5 - Sayı: 2

On Self-Dual Z2Z2[u]-linear Codes

Sayfa
69–75
Yayın Tarihi
2017-10-30
DOI
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AYDOGDU, İ., KAYA, A. (2017). On Self-Dual Z2Z2[u]-linear Codes. Mathematical Sciences and Applications E-Notes, Cilt: 5 - Sayı: 2, 69–75. https://ajindex.com/articles/690717

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Kaynakça (11)

  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
  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.