A simple construction of cover-free $(s,\ell )$-code with certain constant weight

Abstract

We give a method of constructing a cover-free $(s,\ell )$-code. For $k>s$, our construction yields a $\left(\genfrac{}{}{0ex}{}{\left(\genfrac{}{}{0ex}{}{n}{s}\right)}{\ell }\right)\times \left(\genfrac{}{}{0ex}{}{n}{k}\right)$ cover-free $(s,\ell )$-code with a constant column weight.

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