1. Introduction  
2. Sample Selection  
3. Observations and Data Reduction  
4. Results  
4.1. Identification of Companion Candidates  
4.2. Detection Limits  
4.3. Companion Detections  
5. Statistical Analysis  
5.1. Context  
5.2. Statistical Formalism  
5.3. Monte-Carlo Simulations  
5.4. Mean Probability of Detection  
5.5. Estimation of the Planet and Brown Dwarf Systems Frequency  
5.6. Constraints on Giant Planets Population Distributions  
6. Discussion and Conclusions