Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In cryptography and the theory of computation, Yao''s test is a test defined by Andrew Chi-Chih Yao in 1982, against pseudo-random sequences. A sequence of words passes Yao''s test if an attacker with reasonable computational power cannot distinguish it from a sequence generated uniformly at random. As in the case of the next-bit test, the predicting collection used in the above definition can be replaced by a probabilistic Turing machine, working in polynomial time. This also yields a strictly stronger definition of Yao''s test (see Adleman''s theorem). Indeed, One could decide undecidable properties of the pseudo-random sequence with the non-uniform circuits described above, whereas BPP machines can always be simulated by exponential-time deterministic Turing machines.
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