No other name suffices.
One name suffices - Mr. Gorbachev.
It has no other name, and perhaps no other name would suffice.
He did not know, but any name would suffice.
A common name will often suffice to identify a chemical compound in a particular set of circumstances.
The name I was given Outside will suffice.
"My name will suffice, my lord herald. "
The days when a famous name on the marquee and an air-conditioned theater sufficed to attract movie audiences are long gone.
"The name of Wo, the son of Weh, should suffice."
Her name sufficed as explanation.