When my DD went through a brief biting phase around 17 months (while nursing) I would stay silent gently slide my finger between her teeth to get her off of the breast and distract her with a teething toy. It hurt but I knew not to give her ANY reaction or it might encourage her. We don't do time-outs or say "no" for various reasons. It was a difficult phase but we got through it. I feel good about it and am no longer bitten.
I can't say I'd ever feel good about biting a child. My mother bit me. I don't remember it but she does and has told me about it, proudly. Apparently she was cutting my food in front of me and I decided to bite her so she bit back. I can't blame all of my psychological issues on this one incident but it easily represents a clear lack of respect that remains to this day in our relationship.
You are right by coming to this forum to seek advice. My only recommendation is to keep your child with you or a caregiver that will treat your child with the greatest of respect. In my opinion a 16 month old should be better supervised/distracted/engaged so as not to have the opportunity to bite another child. This biting may be an indication of a lack of other, more stimulating and age appropriate activities. The problem is NOT your child, but the environment.