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The Final Nail in the Coffin of Statistically-Secure Obfuscator

We present an elementary, self-contained proof of the result of Goldwasser and Rothblum [GR07] that the existence of a (perfect) statistically secure obfuscator implies a collapse of the polynomial hierarchy. In fact, we show that an existence of a weaker object implies a somewhat stronger statement. In addition, we extend the result of [GR07] to the case of imperfect statistically secure obfuscator.