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Asymmetric Single Magnitude Four Error Correcting Codes by Xie, Derong; Luo, Jinquan is a scholarly article available to read on EtoBox.

What is Asymmetric Single Magnitude Four Error Correcting Codes about?

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 $\mathbb{Z}_{2^{k}r}$ and which are based on so called $B_{1}[4](2^{k}r)$ set. In fact, we reduce the construction of a maximal size $B_{1}[4](2^{k}r)$ set for $k\geq3$ to the construction of a maximal size $B_{1}[4](2^{k-3}r)$ 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 $q\leq106$, we conjecture that those lower bounds are tight.

Author

Xie, Derong; Luo, Jinquan

Published

2019

Language

EN