Abstract
We investigate constant-composition constrained codes for the mitigation of intercell interference for multilevel cell flash memories with a dynamic threshold scheme. The first explicit formula for the maximum size of a $q$ -ary ${\mathcal F}$ -avoiding code with a given composition and certain families of substrings ${\mathcal F}$ is presented. In addition, we provide methods to determine the asymptotic rate for ${\mathcal F}$ -avoiding codes with any composition ratio and to find the optimal composition ratio that maximizes the asymptotic rate. We also give the first efficient encoder/decoder for these $q$ -ary constant-composition codes achieving the channel capacity, for all $q$ values.
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