study the structure of cyclic codes of length 2k over Z8 for any natural
number k. It is known that cyclic codes of length 2k over Z8 are ideals of
the ring R=Z8[X]/. In this paper
we prove that the ring R=Z8[X]/ is a local ring with unique maximal ideal, thereby implying that R is not a principal ideal ring.
We also prove that cyclic codes of length 2k over Z8 are generated
as ideals by at most three elements.
Cite this paper
nullGarg, A. and Dutt, S. (2012) Cyclic codes of length 2k over Z8. Open Journal of Applied Sciences, 2, 104-107. doi: 10.4236/ojapps.2012.24B025.
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