In this case, none of the querystring parameters that are appended to the URL will match your pattern, because the pattern is simply not the same.
You would need to pick those up in your 'home' view as such:
[variable] = request.GET.get([key])
To get the url pattern you're expecting, you'd have to do a POST to your view that handles the form to get the values, and then redirect to '/search/[keyword]/[column]/[exact]/'