Was sodom in the land of nod?

We are not sure where the land of "Nod" was located, except we are told that it was on the east of Eden (Genesis 4:16). It all depends on where the Garden of Eden was located as there is some dispute on that. Many scholars believe the Garden of Eden was located somewhere in the Tigris-Euphrates country above the Persian Gulf. If so "Nod would have been east of there.

Sodom on the other hand is believed to be at the southern end of the Dead Sea and now covered by water. By looking at a map the two places "Nod" and "Sodom" are approximately 1000 miles apart.