Problem when saving as an .eps

Hey guys I created a vector and I wanna save it as an EPS file. My fonts were turned to outlines ofcourse.

So here what I did.

File>save as>eps and the option "embed fonts for..." was checked(don't know if matters)

My problem is that when I open the EPS file and going Window>link all the letters appear to be linked(rastered) which I don't want this.

I need my design to be just vector and nothing else.

I would be greatful if you can make it clear why this is happening and what to do in order to avoid it in the future.

Thank you.

PS: Illustrator CS6