  Since 2002, the CODALEMA experiment located within the Nan\c{c}ay Radio
Observatory studies the ultra-high energy cosmic rays (above 10^{17} eV)
arriving in the Earth atmosphere. These cosmic rays interact with the component
of the atmosphere, inducing an extensive air shower (EAS) composed mainly of
charged particles (electrons and positrons). During the development of the
shower in the atmosphere, these charged particles in movement generate a fast
electric field transient (a few nanoseconds to a few tens of ns), detected at
ground by CODALEMA with dedicated radio antennas over a wide frequency band
(between 20 MHz and 200 MHz). The study of this electric field emitted during
the shower development aims to determine the characteristics of the primary
cosmic ray which has induced the particle shower: its nature, its arrival
direction and its energy. After some theoretical considerations and a short
description of the SELFAS simulation code, we will present the CODALEMA
experiment, its performances and main results. At last, we will show how the
EAS radio-detection technique could be used to observe very high energy gamma
rays sources, with the NenuFAR radio telescope.
