http://www.nintendo.com/consumer/wfc/en_na/ds/results.jsp?error_code=51300&system=DS&locale=lang
According to Nintendo's Error Code Lookup feature, the 51300 error code may be due to "the security settings entered into the Nintendo DS are not the same as what your wireless router is set to allow."
So if you are sure the password is correct, perhaps try checking the above url or copy&pasted below for more information, and if still nothing helps correct this, give a call to Nintendo's 1-800-255-3700 (6 am ~ 7 pm Pacific, everyday) Customer Service number, and one of the service representatives will be able to do some over the phone troubleshooting to determine exactly what the problem is and talk you through any needed steps till this is fixed and that you have no other problems with your other devices connecting to your router.
Unable to connect to your wireless network
Likely cause: It appears that the security settings entered into the Nintendo DS are not the same as what your wireless router is set to allow.
How to fix: Make sure the security key and security type are entered into the Nintendo DS exactly as they appear in your router's settings.
Don't know how to find your router's security key?
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Once you have entered the correct WEP or WPA key into your system, try the connection test again. If the problem persists, keep reading this page.
Additional information:
- Using an Actiontec or 2Wire router? The default security key is often found on a sticker located on the router.
- Security keys are case-sensitive.
- WEP keys contain numbers 0 through 9, and only letters A through F.
Other suggestions:
Did this connection used to work but has suddenly stopped? "Power cycle" your router and modem. To do this, unplug both the modem and the router from the power outlet. Wait a few minutes, and plug the modem back in. Wait a couple of minutes for the modem to initialize, then plug in the router. Try to connect the Wii, Nintendo DS, or Nintendo 3DS online and test for proper response.
- Change your router's channel setting to 1 or 11. By default, most routers broadcast on channel 6, which overlaps with other channels and may be weaker. For help doing this, click here and select your router brand and model (if available). The information you need is found in the "Broadcast Channel:" area.
Still stuck? We can help! We have an easy-to-follow guide that will walk you through the process of finding your router's security key. Even if you're sure you've entered the correct security key, we suggest following our guide to create a new connection file and start over. If at the end you still need help, you'll find contact information to reach our specially-trained representatives. Click the button below for your system and we'll walk you through the connection step-by-step.
