Erratum to: Intersection of Hamming codes avoiding Hamming subcodes

Erratum to: Des. Codes Cryptogr. (2012) 62:209–223 DOI 10.1007/s10623-011-9506-0

Proposition 4 in the original publication is wrongly worded and it should be as follows:

Proposition 4

Let $F,G:{\mathbb {F}}^{m}\rightarrow {\mathbb {F}}^{m}$ be two APN functions such that $F(\mathbf{0}) = G(\mathbf{0})=\mathbf{0}$. If $F$ and $G$ are $CCZ$ equivalent through a permutation $P$ fulfilling $FP = PG$, then $F$ is $AF$ if and only if $G$ is $AF$.

The above rewording does not affect any other result given in the paper.