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The low flux of the ultra-high energy cosmic rays (UHECR) at the highestenergies provides a challenge to answer the long standing question about theirorigin and nature. A significant increase in the number of detected UHECR isexpected to be achieved by employing Earth's moon as detector, and search forshort radio pulses that are emitted when a particle interacts in the lunarrock. Observation of these short pulses with current and future radiotelescopes also allows to search for the even lower fluxes of neutrinos withenergies above $10^{22}$ eV, that are predicted in certainGrand-Unifying-Theories (GUTs), and e.g. models for super-heavy dark matter(SHDM). In this contribution we present the initial design for such a searchwith the LOFAR radio telescope.

Search for Cosmic Particles with the Moon and LOFAR