This is an announcement for the paper "Explicit Euclidean embeddings in permutation invariant normed spaces" by Daniel Fresen. Abstract: Let $(X,\left\Vert \cdot \right\Vert )$ be a real normed space of dimension $N\in \mathbb{N}$ with a basis $(e_{i})_{1}^{N}$ such that the norm is invariant under coordinate permutations. Assume for simplicity that the basis constant is at most $2$. Consider any $n\in \mathbb{N}$ and $0<\varepsilon <1/4$ such that $n\leq c(\log \varepsilon ^{-1})^{-1}\log N$. We provide an explicit construction of a matrix that generates a $(1+\varepsilon )$ embedding of $\ell _{2}^{n}$ into $X$. Archive classification: math.FA Mathematics Subject Classification: 46B06, 46B07, 52A20, 52A21, 52A23 Remarks: 14 pages Submitted from: daniel.fresen@yale.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.0203 or http://arXiv.org/abs/1401.0203