High electrical resistances in series and low resistances in parallel are sources of losses in Photovoltaic (PV) devices. In devices that operate under concentration, these are often the main limiting factors for increasing conversion efficiency. Excluding external factors associated with failures in the production process, the series electrical resistance depends on factors intrinsic to the materials and the layer structure of the photovoltaic device. Thus, to minimize their value it is extremely important to properly plan these constructive parameters prior to the production of the devices. One of the most striking factors in the series resistance is the design of the mesh of collecting fingers of the frontal electrical contact. On the other hand, minimizing the series resistance of the electrical contact requires the increase of the metallic area of the frontal surface, which serves as a window for solar radiation. Therefore, there must be a commitment to reduce electrical and optical losses. In this work, we present the results of the optimization of the design of the mesh of collecting fingers for the frontal electrical contact for three different geometries obtained by genetic algorithms. The geometries chosen were the rectangular, traditional for the production of this type of device, hexagonal and diamond. In addition, we compared the results obtained with those of a device produced with an optimized mesh by an analytical calculation method. At the end, we discussed the improvements introduced by the new geometries and presented the optimized configuration. which was obtained for a solar cell of size 5x5 mm with a rectangular structure of fingers, with a reduction in losses of 54.42 percent that leads to an approximate increase of 1.40 percent in efficiency.