Hei-an means safety and peacefulness.
This name is obtained from the fact that anyone
who has mastered this type is able to protect himself
or herself easily in any unforseen situation.
-Choi Hong Hi; Founder of Oh Do Kwan
The Heian forms were most often called Pyungahn in the Korean schools. They are known as "Pinan" in Okinawan Karate and most Karate styles, but Gichin Funakoshi renamed them "Heian". One of the forms along with some combative interpretations can be seen in the clip below: