A relation between quasi-cyclic codes and 2-D cyclic codes

作者：Guneri Cem^*; Ozbudak Ferruh

来源：Finite Fields and Their Applications, 2012, 18(1): 123-132.

DOI：10.1016/j.ffa.2011.07.004

• Quasi-cyclic code
• 2-D cyclic code
• Trace representation

We consider a q-ary quasi-cyclic code C of length ml and index l, where both in 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 x l over F(q). In case in 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.

• 出版日期2012-1