  Simple majority code correcting $k$ dephasing errors by encoding a qubit of
information into $2k+1$ physical qubits is studied quantitatively. We derive an
equation for quasicontinuous evolution of the density matrix of encoded quantum
information under the error correction procedure in the presence of dephasing
noise that in general can be correlated at different qubits. Specific design of
the Josephson-junction circuit implementing this scheme is suggested.
