Non-existence of a ternary constant weight $(16,5,15;2048)$ diameter perfect code

Denis S. Krotov, Patric R. J. Östergård, Olli Pottonen

Ternary constant weight codes of length $n=2^m$, weight $n-1$, cardinality $2^n$ and distance $5$ are known to exist for every $m$ for which there exists an APN permutation of orde…