  The future of quantum repeater networking will require interoperability
between various error correcting codes. A few specific code conversions and
even a generalized method are known, however, no detailed analysis of these
techniques in the context of quantum networking has been performed. In this
paper, we analyze a generalized procedure to create Bell pairs encoded
heterogeneously between two separate codes used often in error corrected
quantum repeater network designs. We begin with a physical Bell pair, then
encode each qubit in a different error correcting code, using entanglement
purification to increase the fidelity. We investigate three separate protocols
for preparing the purified encoded Bell pair. We calculate the error
probability of those schemes between the Steane [[7,1,3]] code, a distance
three surface code and single physical qubits by Monte Carlo simulation under a
standard Pauli error model, and estimate the resource efficiency of the
procedures. A local gate error rate of $10^{-3}$ allows us to create
high-fidelity logical Bell pairs between any of our chosen codes. We find that
a postselected model, where any detected parity flips in code stabilizers
result in a restart of the protocol, performs the best.
