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arxiv: 1111.5484 · v1 · pith:5JRL2FZ4new · submitted 2011-11-23 · 💻 cs.IT · math.IT

A class of punctured simplex codes which are proper for error detection

classification 💻 cs.IT math.IT
keywords codespropercombinationsclassdetectionerrormanyparticular
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Binary linear [n,k] codes that are proper for error detection are known for many combinations of n and k. For the remaining combinations, existence of proper codes is conjectured. In this paper, a particular class of [n,k] codes is studied in detail. In particular, it is shown that these codes are proper for many combinations of n and k which were previously unsettled.

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