Abstract : The subject of this thesis is the research for the selectrons, neutralinos and squarks in the GMSB (Gauge Mediated Supersymmetry Breaking) model with CMS detector and the study of the lossless data compression. For the nominimal LHC luminosity of 10^34 cm-2 s-1, about 10^9 proton-proton interactions per second occur at the beam crossing frequency of 40 MHz. This input rate of about 10^9 Hz has to be reduced to at most 100 kHz, the maximum rate that can be archived by the on-line computer farm. For the electromagnetic calorimeter, only 100 kilo octets are allocated to the data per event. Therefore, the complete readout and storage of the signals are not possible. In this thesis, we report on the investigation of possibility of further reducting the data size by using the lossless data compression techniques. The primary objectives of the LHC experimental programme is to elucidate the origin of mass spectrum of particles and to test a new space-time symmetry interchanging fermions and bosons, SUperSYmmetry (SUSY). In this thesis, we show the potential for discovering the super-symmetric particles at the LHC in the GMSB model.