Asymmetric Single Magnitude Four Error Correcting Codes
Limited magnitude asymmetric error model is well suited for flash memory. In this paper, we consider the construction of asymmetric codes correcting single error over Z_2^kr and which are based on so called B_1[4](2^kr) set. In fact, we reduce the construction of a maximal size B_1[4](2^kr) set for k≥3 to the construction of a maximal size B_1[4](2^k-3r) set. Finally, we give a explicit formula of a maximal size B_1[4](4r) set and some lower bounds of a maximal size B_1[4](2r) set. By computer searching up to q≤106, we conjecture that those lower bounds are tight.
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