A relation between quasi-cyclic codes and 2-D cyclic codes
A relation between quasi-cyclic codes and 2-D cyclic codes
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DOI：
10.1016/j.ffa.2011.07.004
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发表时间：
2011-04
期刊：
影响因子：
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通讯作者：
Cem Güneri;F. Özbudak
中科院分区：
文献类型：
--
作者：
Cem Güneri;F. Özbudak
我们考虑一个q元的准循环码C，码长为m，码数为m，其中m和m都与q互质。如果C的组成部分是循环码，我们证明了C也可以看作是Fq上的一个长度为m× m的二维循环码.在m和m也互质的情况下，我们很容易观察到码C必须等价于循环码，这是由Lim早先证明的。
We consider a q-ary quasi-cyclic code C of length mℓ and index ℓ, where both m and ℓ are relatively prime to q. If the constituents of C are cyclic codes, we show that C can also be viewed as a 2-D cyclic code of size m×ℓ over Fq. In case m and ℓ are also coprime to each other, we easily observe that the code C must be equivalent to a cyclic code, which was proved earlier by Lim.