In this paper we design high rate protograph based LDPC codes suitable for binary erasure channels. To simplify the encoder and decoder implementation for high data rate transmission, the structure of codes are based on protographs and circulants. These LDPC codes can improve data link and network layer protocols in support of communication networks. Two classes of codes were designed. One class is designed for large block sizes with an iterative decoding threshold that approaches capacity of binary erasure channels. The other class is designed for short block sizes based on maximizing minimum stopping set size. For high code rates and short blocks the second class outperforms the first class. A scheme is proposed to use these LDPC codes over burst erasure channels. The proposed encoding method is also applicable to cases when packets are frequency hopped over channels with partial band jamming or frequency selective fading. Various LDPC codes are compared and simulation results are provided.
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