A note on the Freiman and Balog-Szemeredi-Gowers theorems in finite fields

We obtain quantitative versions of the Balog-Szemeredi-Gowers and Freiman theorems in the model case of a finite field geometry F_2^n, improving the previously known bounds in such theorems. For instance, if A is a subset of F_2^n such that |A+A| <= K|A| (thus A has small additive doubling),...

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Bibliographic Details
Main Authors: Green, B, Tao, T
Format: Journal article
Published: 2007