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The shard committee is designed to have a minimal number of required members so that the chance of getting a majority of malicious nodes in a shard is so small. I happened to write an article before, and Gusti Albrecht summarized it with a formula.
In the formula, we assume global 1/3 malicious nodes(N/M = 1/3 in your notation). We analyze the probability of ...
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you can add --rpccorsdomain jhaendar.grafana.net or --rpccorsdomain=*
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