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I do not know why the intermediate value (for example, W5, W6) should be encrypted??

I think the encryption (random value) only needs in the input process (e.g. w1, w2, w3, w4).

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Suppose for example $w5$ is not encrypted in this diagram and I see that its value is 1 (or I see the unencrypted value 1 in the LUT for $G1$). It is the output of the AND gate $G1$ and so can only be 1 if both the input wires are 1. This would allow me to know the values of $w1$ and $w2$ that produced this input and removed the confidentiality of the inputs.

Daniel S
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