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In cryptography, a pseudorandom ensemble is a family of variables meeting the following criteria:

Let \( U=\{U_{n}\}_{{n\in {\mathbb {N}}}} \) be a uniform ensemble and \( {\displaystyle X=\{X_{n}\}_{n\in \mathbb {N} }} \) be an ensemble. The ensemble X is called pseudorandom if X and U are indistinguishable in polynomial time.
References

Goldreich, Oded (2001). Foundations of Cryptography: Volume 1, Basic Tools. Cambridge University Press. ISBN 0-521-79172-3. Fragments available at the author's web site.

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