Breaking the epsilon-Soundness Bound of the Linearity Test over Gf(2)

For Boolean functions that are $\epsilon$-far from the set of linear functions, we study the lower bound on the rejection probability (denoted by REJ(epsilon) of the linearity test suggested by Blum, Luby, and Rubinfeld [J. Comput. System Sci., 47 (1993), pp. 549–595]. This problem is arguably the m...

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Bibliographic Details
Main Authors: Kaufman-Halman, Tali, Litsyn, Simon, Xie, Ning
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2010
Online Access:http://hdl.handle.net/1721.1/58304