The objective of the project is to study the design of a linear accelerator for introducing light ions into the LEIR ring, as part of the BioLEIR initiative to create a first Biomedical user facility at CERN. Using the existing experience in the BE-ABP group and exploiting synergies with other medical application projects such as the High Frequency RFQ, a new LINAC design would be proposed without pre-existing constraints on frequency and structure. The project would be co-funded by the CERN Medical Applications programme.