We introduce repetition noise into quantum error-correcting codes with a tensor network structure. Our approach employs a quantum channel, which is a superposition of exact encodings and repetition encoding with a small probability. The boundary states of our models capture key features of conformal field theory states, particularly the power law of the two-point function and logarithmic entanglement, which are precisely obeyed in many cases. The noisy holographic quantum error-correcting codes on trees and tilings of two-dimensional hyperbolic space preserve the bulk/boundary duality in AdS/CFT, and their boundary states exhibit the features of conformal field theory accordingly.