Quintus: Two-round Good-case Information Theoretic BFT for $n=5f+1$

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We present Quintus, information-theoretic BFT protocols for tolerating $f < n/5$ Byzantine faults among $n$ parties. We present two protocols: The first protocol, Quintus-Fixed, is in a fixed view regime where views advance at a cadence $3\Delta$ time. This protocol incurs a good-case latency of $2\delta$ time where $\delta$ indicates actual network delay and message complexity of $O(n^2)$ in a view. The second protocol, Quintus-Responsive, is an optimistically responsive protocol with good-ca