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In SHA-3, which step function does not affect W [0, 0]?

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In SHA-3, which step function does not affect W [0, 0]?

(a) Theta

(b) Iota

(c) Pi

(d) Chi

This question was addressed to me during a job interview.

The above asked question is from Secure Hash Algorithms (SHA) topic in section Other Public Key Cryptosystems and Cryptographic Hash Functions of Cryptograph & Network Security

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The correct choice is (c) Pi

For explanation: Pi and Rho step functions do not cause any change on W [0, 0].

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