The construction does fail to be optimal for cases like N=7 K=6 L=5 where there is a trivial cover of size 4. But since C(7,6) is isomorphic to C(7,1) this is not a very interesting case.
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The construction does fail to be optimal for cases like N=7 K=6 L=5 where there is a trivial cover of size 4. But since C(7,6) is isomorphic to C(7,1) this is not a very interesting case.