Correcting Codes for Asymmetric Single Magnitude Four Error

05/05/2019

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by   Derong Xie, et al.

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An error model with asymmetric single magnitude four error is considered. This paper is about constructions of codes correcting single error over Z_2^a3^br. Firstly, we reduce the construction of a maximal size B_1[4](2^a3^br) set for a≥4 and (r,6)=1 to the construction of a maximal size B_1[4](2^a-33^br) set. Further, we will show that maximal size B_1[4](8·3^br) sets can be reduced to maximal size B_1[4](3^br) sets. Finally, we give a lower bounds of maximal size B_1[4](2r) and B_1[4](2·3^br) sets.