Search on category name and display categories as search result

Hi there,

I’m developing a theme for a wordpress. All is going fine, but I came across something, not sure how to fix it!

The site should have 2 types of searches.
– One will search any posts from a certain category (that’s no problem).

– The other search will “only” search the “names” of the categories and display a list of the matching categories on the search page.

I was wondering how I can make this 2nd search happen?
I was thinking I could add certain parameters in the search form (like I would do for the first search option, but I can’t see this being enough?)
Can anyone point me in the right direction please?

Any help is much appreciated!!