By using the Hamilton-Jacobi [HJ] framework the higher-order Maxwell-Chern-Simons theory is analyzed. We report the complete set of HJ Hamiltonians and a generalized HJ differential, from which all symmetries of the theory are identified. In addition, we complete our study by performing the higher order Gitman-Lyakhovich-Tyutin [GLT] framework and compare the results of both formalisms.
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