Story highlights China's Supreme People's Court reiterates its "judicial power" over South China Sea

Statement comes after landmark Hague ruling against China's territorial claims

Hong Kong (CNN) China has sent a clear warning to foreigners who enter contested areas of the South China Sea -- stay away or you'll be prosecuted.

The warning came in a detailed explanation of last month's Hague ruling, which found that China's territorial claims in region have " no legal basis" under the U.N. Convention on the Law of the Sea

China claims almost all of the South China Sea, including islands more than 800 miles (1,200 kilometers) from the Chinese mainland, despite objections from neighbors including the Philippines, Malaysia, Brunei and Vietnam.

On Tuesday, the Chinese Supreme People's Court issued a regulation on judicial interpretation saying there was a "clear legal basis for China to safeguard maritime order, marine safety and interests, and to exercise integrated management over the country's jurisdictional seas."

Michael C. Davis, a law professor at Hong Kong University, told CNN the supreme court's statement was "worrisome."

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