I have been consulting for a few firms over the last few years specializing in a large software platform. When interviewing at other consulting firms, I have always used generalized answers as to where specifically I have worked, e.g. 'a large university' as opposed to 'Notre Dame'. I use the same technique on my resume. Now I have started interviewing with the manufacturer of the product in question and have had a couple questions regarding the specifics of the clients. I would assume it is so they could check how well the project was implemented or to go directly to their internal resources for additional information.
In this scenario should I divulge the this information or try to remain giving generic answers? It does not appear at face value to conflict with my NDA.