Eudokia (Εὐδοκία) combines the Greek eu (good) and dokein (to seem) — "goodwill, good favor." Aelia Eudokia (c. 401-460) was the Byzantine empress, wife of Theodosius II — born a pagan daughter of an Athenian philosopher. A celebrated Christian poet, she rewrote Homer's verses into a Greek life of Christ.
Multiple Byzantine empresses bore the name; her tomb is in Jerusalem.
Eudokia does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Eudokia reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.