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For 256 bits of security, n = 1024, q = 40961, and Φ(x) = x<sup>1024</sup> + 1
Because the key exchange uses random sampling and fixed bounds there is a small probability that the key exchange will fail to produce the same key for the initiator and responder. If we assume that the Gaussian parameter σ is 8/sqrt(
== Key Exchange Security ==
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