Asmuth-Bloom Secret Sharing $m_0$ public?
According to Dragan&amp;Tiplea,On the Asymptotic Idealness of the
Asmuth-Bloom Threshold Secret Sharing Scheme $m_0$ is a public parameter.
The scheme itself does not require $m_0$ to be kept secret. However, by keeping it secret you could eliminiate the possibility to get a probabilistic distribution of secrets as explained here but if $m_0$ for some reason is lost, the secret is not recoverable, which kind of defeats the purpose (or parts of it) of a secret sharing scheme.