California Code, Penal Code - PEN § 1202a

If the judgment is for imprisonment in the state prison the judgment shall direct that the defendant be delivered into the custody of the Director of Corrections at the state prison or institution designated by the Director of Corrections as the place for the reception of persons convicted of felonies, except where the judgment is for death in which case the defendant shall be taken to the warden of the California State Prison at San Quentin.

Unless a different place or places are so designated by the Director of Corrections, the judgment shall direct that the defendant be delivered into the custody of the Director of Corrections at the California State Prison at San Quentin.  The Director of Corrections shall designate a place or places for the reception of persons convicted of felonies by order, which order or orders shall be served by registered mail, return receipt requested, upon each judge of each superior court in the state.  The Director of Corrections may change the place or places of commitment by the issuance of a new order.  Nothing contained in this section affects any provision of Section 3400.