A form of socialism that abolishes private ownership WordNet 3.0 & Open English WordNet

In Marxist thought, a communist society or the communist system is the type of society and economic system postulated to emerge from technological advances in the productive forces, representing the ultimate goal of the political ideology of communism. Wikipedia

A hypothetical socioeconomic system characterized by superabundance, the holding of property in common and free access; most notable in Marxist theory where it is postulated to arise after socialism and based on the principle of from each according to his ability, to each according to his needs Wikipedia Disambiguation

The ideology of political parties that use the term Communist in their names, usually Marxist and Leninist. Wiktionary