Spatially-Coupled Precoded Rateless Codes with Bounded Degree Achieve the Capacity of BEC under BP decoding

Kosuke Sakata; Kenta Kasai; Kohichi Sakaniwa

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arXiv · 1401.7288

Spatially-Coupled Precoded Rateless Codes with Bounded Degree Achieve the Capacity of BEC under BP decoding

Kosuke Sakata·Kenta Kasai·Kohichi Sakaniwa

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Abstract

Raptor codes are known as precoded rateless codes that achieve the capacity of BEC. However the maximum degree of Raptor codes needs to be unbounded to achieve the capacity. In this paper, we prove that spatially-coupled precoded rateless codes achieve the capacity with bounded degree under BP decoding.

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Kosuke Sakata, Kenta Kasai, Kohichi Sakaniwa. 2014-01-28. Spatially-Coupled Precoded Rateless Codes with Bounded Degree Achieve the Capacity of BEC under BP decoding. https://arxiv.org/abs/1401.7288

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