Which statement about the BGP network command is false?

The statement that the network command can be used with corresponding policies is false because the BGP network command operates by directly referencing routes from the local routing table to advertise them. The syntax of the network command does not have an inherent mechanism to include or enforce associated policies directly within its function. In practice, while you can control route advertisement using route maps and policies, the network command itself is simply a means of specifying which routes to advertise based on those existing in the local routing table.

The other statements hold true in the context of BGP: routes must indeed exist in the IP routing table for them to be advertised by BGP, and they must match the mask length as configured in the routing table. Additionally, it is accurate that BGP does not advertise any local route by default unless explicitly stated with the network command, ensuring that only defined routes are propagated to BGP peers.