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zooqueen
ebe2ebcb3c
Ringtail (Boschini et al., ePrint 2024/1113) is third-party prior art; Lux's Corona (Ring-LWE = Module-LWE rank-1) builds on it; Pulsar is Module-LWE rank-k. Retired the conflated boschini2024corona/corona2024/coronago/... bib keys to the single canonical ringtail/corona/pulsar/magnetar keys, rewrote \cite + \bibitem by context, and fixed 'Pulsar (Ring-LWE)' mislabels (Corona where corona.metal/ single-ring/Ringtail-derived; Pulsar where Module-LWE rank-k/ML-DSA). Cryptographer-led.
61 lines
1.7 KiB
TeX
61 lines
1.7 KiB
TeX
\section{Performance Characteristics}
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\subsection{Mainnet Configuration (21 validators)}
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\begin{table}[h]
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\centering
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\begin{tabular}{@{}ll@{}}
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\toprule
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\textbf{Parameter} & \textbf{Value} \\
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\midrule
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K (Sample size) & 21 \\
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$\alpha$ (Preference quorum) & 13 \\
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$\alpha_{conf}$ (Confidence quorum) & 18 \\
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$\beta$ (Confidence threshold) & 8 \\
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Q-Threshold (Corona) & 15 of 21 \\
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Quasar Timeout & 10ms (GPU BLS) / 100ms (CPU fallback) \\
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Block Gas Limit & 1{,}000{,}000{,}000 (1\,B) \\
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Txs/Block & $\sim$47{,}619 (at 21{,}000 gas/tx) \\
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Finality Target & 10ms (GPU BLS) / 100ms (CPU BLS fallback) \\
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\bottomrule
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\end{tabular}
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\label{tab:mainnet-params}
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\end{table}
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\subsection{Performance Metrics}
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\begin{table}[h]
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\centering
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\begin{tabular}{@{}lll@{}}
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\toprule
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\textbf{Metric} & \textbf{Value} & \textbf{Description} \\
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\midrule
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Block Gas Limit & 1\,B & 47{,}619 txs/block at 21k gas/tx \\
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Finality (GPU BLS) & 10ms & Primary target (co-located validators) \\
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Finality (CPU BLS) & 100ms & Fallback (commodity hardware) \\
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GPU BLS Aggregation & 3ms & Metal/CUDA shader \\
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Corona Aggregation & 7ms & PQ signature combination \\
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Certificate Size & 2.9KB & Combined BLS + Corona \\
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\bottomrule
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\end{tabular}
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\label{tab:performance}
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\end{table}
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\subsection{Throughput Analysis}
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Under Byzantine conditions ($f < n/3$), with 1\,B gas block limit:
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\begin{align}
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\text{Txs/block} &= \frac{1{,}000{,}000{,}000}{21{,}000} \approx 47{,}619 \\
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\text{TPS (GPU BLS)} &= \frac{47{,}619}{0.010\text{s}} = 4{,}761{,}904 \text{ TPS} \\
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\text{TPS (CPU BLS)} &= \frac{47{,}619}{0.100\text{s}} = 476{,}190 \text{ TPS}
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\end{align}
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Finality probability after $\beta$ rounds:
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\begin{equation}
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P(\text{finality}) \geq 1 - \epsilon, \quad \epsilon \approx 10^{-10}
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\end{equation}
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