%0 Journal Article %T A note on Freiman's theorem in vector spaces %A Tom Sanders %J Mathematics %D 2006 %I arXiv %R 10.1017/S0963548307008644 %X We show that if A is a subset of F_2^n and |A+A| < K|A| then A is contained in a subspace of size at most 2^{O(K^{3/2}log K)}|A|. This improves on the previous best of 2^{O(K^2)}. %U http://arxiv.org/abs/math/0605523v2