Dropping the 的

I ask my students for their names and I always say that I want 汉字，拼音还有声调 (to save me time looking up tones) 。。Today I noticed that several of them talking amongst themselves were saying '他要中国名字'.  Why not 中国的名字?  

Is this one of those situations where 的 is not required?

Is this a young person thing to drop the  的？ 

Are my students unusually lazy?