SSH bouncing is a method of getting end to end encrypted access to hosts behind restrictive firewalls. ssh hostA ‘ssh hostB’ isn’t much good, because it doesn’t provide end to end encryption. All it really does is login to the second host automatically. SSH bouncing tunnels one SSH connection inside the other to create a full connection to the firewalled host. It could also be done with local SSH port forwards, but this method is simpler, and doesn’t require two terminals - one to set up the forward, and the other to SSH to the firewalled host.
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