How fast can we do gaussian elimination over $$$\mathbb{Z}/2\mathbb{Z}$$$ ?

I know the usual time complexity of gaussian elimination over reals is $$$O(n^3)$$$ which is horrible, but can we do very fast over $$$\mathbb{Z}/2\mathbb{Z}$$$ ?

Any references would be nice if there are such techniques, I searched the internet but couldn't find my answer