A series of alternating maleimide (MI) copolymers with fluorinated side chains have been investigated using broadband dielectric spectroscopy. The side chains consist of fluoroalkane (-CxF2x+1, x = 1, 7, 9) end groups connected to the main chain via methylene spacers. The experiments were carried out in a frequency range of 0.1 Hz to 10 MHz and at temperatures between 120 K and 500 K. The fluorinated MI copolymers show a fast sub-T-g (beta) relaxation characterized by an Arrhenius-type temperature dependence with activation energy in the range of 3037 kJ/mol. Two more processes (alpha and delta-like) are observed, corresponding to independent relaxations of the main chain and the fluoroalkane domains respectively. For shorter side chains, the delta-like process is not observed but instead another relaxation process, alpha(s), occurs at temperatures higher than either the alpha and delta-like processes. When compared with unfluorinated MI copolymers, the fluorinated MI copolymers show the delta-like process and a slower beta-relaxation unlike their unfluorinated counterparts. A model to explain the molecular origin of the four processes is proposed, supplemented by differential scanning calorimetry and published WAXS/SAXS data.