Is it OK to tell co-workers about your next job?

After the customary notice has been given to the management, coworkers some of who could be good friends, or nice acquanitances or just good-nice-coworkers are bound to directly/indirectly raise the topic of where one is going next. Curiosity is a human trait 🙂

My question is: Should one tell them the company’s name and a brief (one line or two) description of the job? Or should one just be vague (actually lie 🙂 )?

My own answer: We should tell them the truth sharing only the necessary information, if asked. If not asked, then don’t tell.

What do you feel?