CORRECTION OF THE ARTICLE "ON VECTORIAL FUNCTIONS MAPPING STRICT AFFINE SUBSPACES OF THEIR DOMAIN INTO STRICT AFFINE SUBSPACES OF THEIR CO-DOMAIN, AND THE STRONG D-PROPERTY"

An error in the paper "On vectorial functions mapping strict affine subspaces of their domain into strict affine subspaces of their co-domain, and the strong D-property" comes from incorrectly using a result from the article by Shanbhag et al. "An upper bound for the extended Kloosterman sums over Galois rings" has led to a flawed proof of Theorem 5.22 in that paper. We provided a revised version of this theorem. We offered an alternative proof (more beautiful since it is a second proof) of the first part of Theorem 5.22 while we do not have a proof of the second part. Therefore, proving the strong D-property of the compositional inverse of the Gold Almost Perfect Nonlinear (APN) function remains an open problem. We provided a correction to subsections 5.3 and 6.2, which used this theorem.