Novel Degree Distribution Function for LT codes over Finite Field CHEONG Siotai, FAN Pingyi (Department of Electronic Engineering, Tsinghua University, Beijing 100084, China) Abstract: 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 t...

In this paper we extend previous results on distributed LT codes and focus on the frame erasure rate performance of the corresponding block codes with fixed rate. Specifically, we address modified LT (MLT) codes which resemble LT codes in both structure and performance. First, an MLT code construction scheme for four sources communicating with a single sink via a common relay is presented. Then...

Fountain coding principle introduced by Byers et al. in 1998 describes an efficient way to transfer information over erasure channels. In this paper, we focus on a particular class of fountain codes, the LT codes. The key component of LT codes is the so-called degree distribution used in the encoding procedure. The degree distribution is the sole component responsible for the efficiency of the ...

Fountain codes are becoming increasingly important for data transferring over dedicated high-speed long-distance network. However, the encoding and decoding complexity of traditional fountain codes such as LT and Raptor codes are still high. In this paper, a new fountain codes named LRF (Loss Rate Based Fountain) codes for data transfer is proposed. In order to improve the performance of encodi...

Luby Transform (LT) codes are powerful packet erasure codes with low encoding and decoding complexity. We provide a simple method to improve the bit error rate performance of LT codes. Moreover, we exploit our method to design a new approach for unequal error protection with LT codes. We used simulations to compare our approach with a state of the art unequal error protection technique when the...

LT codes and digital fountain techniques have received significant attention from both academics and industry in the past few years. There have also been extensive interests in applying LT code techniques to distributed storage systems such as cloud data storage in recent years. However, Plank and Thomason’s experimental results show that LDPC code performs well only asymptotically when the num...

In this paper, we present a method to provide unequal error protection (UEP) for distributed sources in a two-source single-sink relay network scenario. A simple yet efficient technique to decompose the Robust Soliton Distribution (RSD) into two entirely different distributions by utilizing the concept of deconvolution is presented and these two different distributions are used at two different...

Digital fountain is a new class of the forward error correction technology. One of the most important features is the characteristic called rateless, which allows encoders to generate codewords unlimitedly. As the first practical implementation of digital fountain, LT codes have been widely utilized in many areas, including multimedia streaming, long-distance communication, broadcasting systems...

In the orignal work on LT codes by Luby, the ripple size during decoding was designed to be approximately constant. In fact, the Ideal Soliton and the Robust Soliton distributions were designed to yield an approximately unit ripple size and a fixed ripple size greater than one, respectively. In this work, the redundancy within an LT code is characterized, and it is found that a decreasing rippl...