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

Computer Science – Information Theory

Scientific paper

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Scientific paper

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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