You're getting some of the settings wrong. From what you post your router is at 192.168.1.1. If that's the case then your broadcast address should be 192.168.1.255 and your default gateway should be 192.168.1.1. I'm not sure which computer is assigned 192.168.1.100; if it's the same one that you are booting Knoppix on that should be fine, but just to be sure try a different address that isn't as likely to be given out any where, for example 192.168.1.88.
Thanks, that did it!