Parity-based loss recovery for reliable multicast transmission
IEEE/ACM Transactions on Networking (TON)
Error Control Coding, Second Edition
Error Control Coding, Second Edition
Convolutionally Encoded Memory Protection
IEEE Transactions on Computers
Asymptotically good codes correcting insertions, deletions, and transpositions
IEEE Transactions on Information Theory
Efficient erasure correcting codes
IEEE Transactions on Information Theory
Reliable communication over channels with insertions, deletions, and substitutions
IEEE Transactions on Information Theory
Verification-based decoding for packet-based low-density parity-check codes
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Construction of Regular and Irregular LDPC Codes: Geometry Decomposition and Masking
IEEE Transactions on Information Theory
A digital fountain approach to asynchronous reliable multicast
IEEE Journal on Selected Areas in Communications
An overview of reliable multicast transport protocol II
IEEE Network: The Magazine of Global Internetworking
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In this paper, a new method is described which builds on Mitzenmacher's idea of adding a different pseudorandom number to each packet to help decode packet-symbol low-density codes, with deletions, errors, and out-of-order reception, without sequence numbers. The new method has lower decoding complexity than the original method. The most basic form of the new method applies to any parity-check code structure, but is limited to a rather small number of packets in the code. Decoding success is slightly inferior to an ideal erasure channel, which would require sequence numbering and error detection in each packet. Error detection is needed only for the whole code, amounting to usually less than one bit per packet symbol. Moreover, if error detection can resolve one of a small number of alternatives, the ordered case performs almost as well as the ideal erasure channel. Ways are shown to modify the basic algorithm for use with long codes, possibly approaching the erasure channel capacity limit.