  Luby Transform (LT) code over finite field is a recent research topic. In
order to find out the properties of LT codes over finite field, a novel degree
distribution function is proposed in this paper. The main thinking of our
developed distribution function is to improve the decoding success rate with
the same overhead, and still to keep the sparse property for the encoding
matrix. Numerical simulations are used to show the general performance of our
novel function. Various simulation results show that in the environment of LT
codes over finite field, our new degree distribution function performs much
better than the degree distribution functions proposed by Luby as the field
size increasing. In conclusion, our novel degree distribution function is more
suitable to be used in LT codes over finite field.
