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answers:

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I'm trying to satiate my curiosity by doing a small network reachability test. I want to try to ping all subnets of a wireless network at my school from the subnet that I am connected to. So, suppose the network has 4 subnets (a,b,c,d) and I am connected to 'a', I want to try to ping at least 1 computer in subnets 'b','c', and 'd'. Once I have finished pinging, I want to connect to the next subnet (b) and repeat this process until I've connected to all subnets and tested all the other subnets.

I read some of the other similar threads and a lot of people suggested nmap as a very robust tool for network testing. Is it applicable to my case? How should I go about doing this task?

A: 

You can try tp do a boardcast ping. But most routers and operating systems will ignore the request. You might also try to ping the access points instead of the computer nodes.

Matthew Whited
That actually seems to be more what I'm looking for. What would you suggest as the means for going about doing this?
rohanbk
If you can do a boradacst ping you would just ping the network broadcast address. For example on a 24bit network it would be something like 10.1.2.255. Any client that can reply to a boardcast ping would ping back. But again most routers and operating systems block this because it can be used in hacking attacks.
Matthew Whited