$\Theta_S-$cyclic codes over $A_k$

نویسندگان

  • Irwansyah
  • Aleams Barra
  • Steven T. Dougherty
  • Ahmad Muchlis
  • Intan Muchtadi-Alamsyah
  • Patrick Sol'e
  • Djoko Suprijanto
  • Olfa Yemen
چکیده

We study ΘS−cyclic codes over the family of rings Ak. We characterize ΘS−cyclic codes in terms of their binary images. A family of Hermitian inner-products is defined and we prove that if a code is ΘS−cyclic then its Hermitian dual is also ΘS−cyclic. Finally, we give constructions of ΘS−cyclic codes. ∗Corresponding author. email: [email protected]

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تاریخ انتشار 2017