Ah, networking is fun too.

@wizardfromoz is likely gonna shine here... he's that kind of a wizard!

But I'll start the ball rolling. You shouldn't really have to set configurations (like essid, etc) unless your network is hidden and doesn't broadcast itself. Let us know if you do have it set up as hidden. Linux should work as well as Windows... it should just see your network, and you select it and give it the password and you're in.
Speaking of "seeing your network"... the network icon in OpenMandriva is extremely hard to see on my HP laptop. It is a gray color icon on a gray panel on the right side, between the keyboard and sound icons. Left-clicking on it shows the networks close to me... mousing over my network highlights it and provides a "Connect" button. After entering the password, it prompts for the KDE Wallet Service which I'm not familiar with.... the default selection (GPG encryption) fails for me and I have to choose "classic blowfish encryption" file. Next up, it wants a new password for the KDE Wallet... again, this is all new to me, but "Cancel" will not proceed, so I give it a password. Then it again asks for ANOTHER password, what seems to be the router password again... I enter the router password, the box disappears, but I'm not connected. But checking the network icon on the panel, and my home network does not show up now (just my neighbor shows). OK, time to reboot. After rebooting, my home network again appears in the network icon on the panel... I mouse over it, click the Connect button, and again the KDE Wallet passord is needed... I enter it, and it finally connects. The gray panel icon now is darker and better visible since a connnection is active. Firefox opens up the OpenMandriva website, so all is good. Another reboot and the network icon on the panel changed (it's red now, and different)... and nothing is available, so it apparently failed to start. Another reboot, and this time the KDE Wallet login comes up immediately... giving it the password then makes the network start automatically now. I'd guess this is the normal way it should work. Another reboot, and another failure with the red icon on the panel. I'm starting to think that OpenMandriva and/or KDE and\or this combination of them is not very user friendly!!!

I'm curious if you went through all of this??? Maybe your network actually is working if you can see it in the panel icon. And maybe your laptop will be more stable than mine, if you can get it working!
Well, if it's not working, the most likely thing (to me) is that the driver is not properly loaded. If we need to continue, let's find out what your WiFi card is... open up Konsole and tell us the output of this: