On cyclic self-orthogonal codes over Z2m

نویسندگان

  • Kaiyan Qian
  • Shixin Zhu
  • Xiaoshan Kai
چکیده

The purpose of this paper is to study the cyclic self orthogonal codes over Zpm . After providing the generator polynomial of cyclic self orthogonal codes over Zpm , we give the necessary and sufficient condition for the existence of non-trivial self orthogonal codes over Zpm . We have also provided the number of such codes of length n over Zpm for any (p, n) = 1.

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عنوان ژورنال:
  • Finite Fields and Their Applications

دوره 33  شماره 

صفحات  -

تاریخ انتشار 2015