Goal‐oriented design of optimal degree distribution for LT codes

Optimal Degree Distributions for LT Codes in Small Cases

Novel Degree Distribution Function for LT codes over Finite Field

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...

A Practical Optimization Framework for the Degree Distribution in LT Codes

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...

Optimizing the Degree Distribution of LT Codes with an Importance Sampling Approach

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 ...

LT Codes

We introduce LT codes, the first rateless erasure codes that are very efficient as the data length grows.