A Novel LT Codec to Improve Error in the Binary Erasure Channel

Luby Transform (LT) codes are the first realization of a class of fading codes, which we call pervasive fading codes. The properties of such codes are well defined when using large data files, but they do not perform well when used for short messages. In this paper, a new encoder and decoder, specifically an efficient LT encoder using the Robust Soliton Distribution (RSD) as a new right-degree distribution and a new left-hand distribution tested in the Binary Erasure Channel (BEC) is introduced. The left-degree distribution of an LT code is intended as a Poisson distribution for general protection. Left-degree shaping creates better performance than LT code, which is compared to high-performance designs in other papers. In information blocks with length k = 256 and bit error rate 10-8, the realized coding rate of this model is 0.58, which is 25% more than the developed BP design of Mr. Jamshidi and his colleagues. Experimental results show that this new codec leads to improvements in all system features. As such, it is a step towards designing and building better code for the BEC channel.