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

preprint2016arXivOpen access

Abstract

We give a method of constructing a cover-free (s,ℓ)(s, \ell)-code. For k>sk > s, our construction yields a ((ns)ℓ)×(nk) {{n \choose s} \choose \ell}\times {n \choose k} cover-free (s,ℓ)(s, \ell)-code with a constant column weight.

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