[en] The December 30, 1991 French Waste Act entrusted ANDRA, the French national agency for radioactive waste management, with the task of assessing the feasibility of deep geological disposal of high- and medium-level long-lived waste (HLW and ILW, respectively C-waste and B-waste types in French) plus spent fuel (CU in French). In that context, the 'Dossier 2005 Argile' submitted by ANDRA presents the feasibility assessment - with regard to the technical capacity to accommodate all wastes, to reversibility, and to safety - of a radioactive waste disposal in a clay formation studied at the Meuse/Haute-Marne URL. This report was built upon an iterative approach between site characterisation, design, modelling, phenomenological analysis and safety analysis, in which two principles always guided the elaboration of the safety case: the principle of robustness - repository components must maintain their functionality given reasonable solicitations, taking into account uncertainties on the nature and level of these solicitations; and the principle of demonstrability - safety must be verified without requiring complex demonstrations, and based on multiple lines of evidence/argument (numerical simulation, qualitative arguments such as use of natural analogues, experiments and technological demonstrators). In that respect, the EBS definition, demonstration and confirmation of design is a part of the overall safety case. The 'Dossier 2005 Argile' was submitted to three independent peer reviews. The aim. of this article is to present the methodology that ANDRA implemented in the context of 'Dossier 2005 Argile' for defining, demonstrating and confirming the EBS design as well as the future programme with respect with the new Act of 28 June 2006. (author)