In Lord of the Flies in which ocean is the island located?

The name and location of the island are never mentioned. It is described as having palm trees and a coral reef enclosing a lagoon, so it is almost certainly a tropical island. The "ocean" is also mentioned but the name of the ocean isn't given. The likelihood is that the island is located in either the South Pacific Ocean or the Indian ocean but it could perhaps be located in the Caribbean close to the Atlantic Ocean. The island is superficially idyllic.