Capacity-achieving sequences for the erasure channel

  title={Capacity-achieving sequences for the erasure channel},
  author={P. Oswald and Amir H. Shokrollahi},
  journal={IEEE Trans. Information Theory},
This paper starts a systematic study of capacityachieving sequences of low-density parity-check codes for the erasure channel. We introduce a classA of analytic functions and develop a procedure to obtain degree distributions for the codes. We show various properties of this class which will help us to construct new distributions from old ones. We then study certain types of capacity-achieving sequences and introduce new measures for their optimality. For instance, it turns out that the right… CONTINUE READING
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