The Soviet Union had public ownership as the principle aspect of its economy, it was by definition socialist. Further, production was run to satisfy the needs of the people, not for the profits of privledged few. The working class was in control of the state.

As for the DPRK, it is democratic, elections for the Supreme People’s Assembly occur every 5 years, while local assemblies are voted for 4 year terms. The government is primarily held by the WPK, but there are 2 other parties that hold seats, a social democratic party and a religious party.