arxiv: 1707.04681 · v1 · pith:VDNGSZV4new · submitted 2017-07-15 · 💻 cs.IT · math.CO· math.IT

Theta_S-cyclic codes over A_k

Irwansyah , Aleams Barra , Steven T. Dougherty , Ahmad Muchlis , Intan Muchtadi-Alamsyah , Patrick Sol\'e , Djoko Suprijanto , Olfa Yemen This is my paper

classification 💻 cs.IT math.COmath.IT

keywords cyclicthetacodesfamilyhermitianbinarycharacterizecode

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We study $\Theta_S-$cyclic codes over the family of rings $A_k.$ We characterize $\Theta_S-$cyclic codes in terms of their binary images. A family of Hermitian inner-products is defined and we prove that if a code is $\Theta_S-$cyclic then its Hermitian dual is also $\Theta_S-$cyclic. Finally, we give constructions of $\Theta_S-$cyclic codes.

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Theta_S-cyclic codes over A_k

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