Quantum error-correcting codes are many-body entangled states used to robustly store coherent quantum states
over long periods of time in the presence of noise. Practical implementations will require efficient entangling
protocols that minimize the introduction of noise during encoding or readout. We propose an experiment that
uses only global operations to encode information to either the five-qubit repetition code or the five-qubit code on
a two-dimensional ion Coulomb crystal architecture. We show we can prepare, read out, and acquire syndrome
information for these two codes by using only six and ten global entangling pulses, respectively. We provide an
error analysis, estimating we can achieve a sixfold improvement in coherence time with as much as 1% noise in
the control parameters for each entangling operation.