Fountain codes is an important class of Erasure Codes, and has drawn increasing attention and research efforts in the academia and industry due to its non-fixed rate, linear encoding and decoding complexity, and no feedback requirements, etc. Raptor codes is a most important type of fountain codes, in this dissertation, we focus on the study
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Low-Density Parity-Check (LDPC) codes are a class of capacity approaching error-correcting codes. Due to the advantages of LDPC codes, their applications in reliablecommunications have received great interests and have become one of most attractivefield in channel coding community.In this dissertation, the author took LDPC codes as the primary research object,mainly studied the channel coding problems
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