"the distinctive dignity of the Oriental Orthodox Church,... or the Assyrian Church of the East." Distinctive dignity?
The Oriental Orthodox Church refers to a Communion of six apostolic Eastern Churches. All are independent of one another and all rejected the Council of Chalcedon (451 AD). The Churches that comprise the Oriental Orthodox Church are:
Armenian Apostolic Church; Coptic Orthodox Church; Ethiopian Orthodox Church; Syrian Orthodox Church; Malankara Orthodox Syrian Church; Eritrean Orthodox Church.
In recent years, however, each of these Churches has come to common Christological agreement with representatives of both the Catholic Church and Eastern Orthodox Church, ending centuries of Christological division.
The Assyrian Church of the East refers to the apostolic Church established in Persia, outside of the Roman Empire (in what is now Iraq and Iran). The Church of the East became associated with the Nestorians and the rejection of the Council of Ephesus (431 AD). The Assyrian Holy Synod has come to common Christological agreement with representatives of both the Catholic Church and the Eastern Orthodox Church, recently, as well (notably in 1994 when Pope John Paul II and Mar Dinka IV signed a Common Christological Declaration at the Vatican).