A method of space time coding for UWB transmission system including a plurality of radiative elements, the method coding a block of information symbols S=(σ1, σ2, . . . , σP) belonging to a M-PPM-M′-PAM modulation alphabet, as a sequence of vectors obtained from elements of the matrix:C=(σ1σ2…σPΩσPσ1⋱⋮⋮⋱⋱σ2Ωσ2…ΩσPσ1)a row of the matrix corresponding to a use of the transmission channel and a column of the matrix corresponding to a radiative element, the matrix C being defined to within a permutation of its rows and / or its columns and Ω being defined as the combination of a permutation (ω) of the modulation positions of the M-PPM alphabet and a symmetry operation (π) of the M′-PAM modulation alphabet for one of the modulation positions (m±).