Bulletin of the Korean Mathematical Society (대한수학회보)

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CYCLIC CODES OVER SOME SPECIAL RINGS

  • Flaut, Cristina (Faculty of Mathematics and Computer Science Ovidius University)
  • Received : 2012.04.17
  • Published : 2013.09.30
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Abstract

In this paper we will study cyclic codes over some special rings: $\mathbb{F}_q[u]/(u^i)$, $\mathbb{F}_q[u_1,{\ldots},u_i]/(u^2_1,u^2_2,{\ldots},u^2_i,u_1u_2-u_2u_1,{\ldots},u_ku_j-u_ju_k,{\ldots})$, and $\mathbb{F}_q[u,v]/(u^i,v^j,uv-vu)$, where $\mathbb{F}_q$ is a field with $q$ elements $q=p^r$ for some prime number $p$ and $r{\in}\mathbb{N}-\{0\}$.

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References

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