A good name is rather to be chosen than great riches.

        

 -         Proverbs 22:1

I think this quote means that, it is better to have a good name (a good reputation) than to have all the riches in the world and have a bad one. Even if you are very rich and you think that you have a good name just because of that, you honestly don't, all you have is money and a bad personality

           “A good name is better than anything you can achieve in this life.”

-         Mike Krzyzewski

I think what Coach K is trying to say is that, even if you have the best title in the world, it is better to have a good reputation. Even if you have a good title and a good job and everything, if you have a bad reputation (a bad name), you will not be good within your heart.  Being good is what matters most.