Democratic People's Republic -- трижды народная и легендарная

δημοκρατία (dēmokratía), "rule of the people" (Greek).
res publica, public matter (Latin).

People rulling people's public matter.

People's Democratic Republic of Algeria
Socialist People's Republic of Albania
Democratic People's Republic of Korea
Lao People's Democratic Republic
People's Democratic Republic of Ethiopia
People's Democratic Republic of Yemen