We improve upon the Johnson-type bounds of Hayashi--Yasunaga and Liu--Tjuawinata--Xing for insertion--deletion codes by encoding each local list into a binary constant-weight code. The resulting local list-size bound is tight over sufficiently large alphabets. Combining this bound with an averaging argument and the constant-weight McEliece--Rodemich--Rumsey--Welch bound yields an asymptotic rate bound that strictly improves Yasunaga's Elias-type bound throughout the nontrivial range.

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