I think/speculate that it is the result of the way you type which somehow, without you realizing it, touches the touchpad which is a bit too sensitive.
My suggestion is to decrease the size of tapping area in your touchpad.
It is by no means a solution. Just a suggestion.
I can only illustrate what I could do with my Acer 7741 laptop.
Whether it applies to your Asus, I don't know.
Control Panel > Mouse > Device settings > under Devices, select Settings > left side, expand Tapping > click Tap Zones > check the box "Enable Tap Zones" > expand Tap Zones > select Tap Zone Sizes >
To decrease the area of tapping zone, move the 4 square boxes and make them larger.
before adjusting the tapping zone............
after adjusting the tapping zone................
Hope that can help a little.