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arXiv · 1109.0215

The minimum distance of classical and quantum turbo-codes

Mamdouh Abbara·Jean-Pierre Tillich
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Abstract

We present a theory of quantum stabilizer turbo-encoders with unbounded minimum distance. This theory is presented under a framework common to both classical and quantum turbo-encoding theory. The main conditions to have an unbounded minimum distance are that the inner seed encoder has to be recursive, and either systematic or with a totally recursive truncated decoder. This last condition has been introduced in order to obtain a theory viable in the quantum stabilizer case, since it was known that in this case the inner seed encoder could not be recursive and systematic in the same time.

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Mamdouh Abbara, Jean-Pierre Tillich. 2011-09-01. The minimum distance of classical and quantum turbo-codes. https://arxiv.org/abs/1109.0215

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