It is an old conjecture that there are no unknown Barker sequences. Here, a sufficient condition for the non-existence of Barker sequences of even length 4m 2 is given, which allows us to show that there are no unknown sequences withm less than 105, exceptm=63, which remains still undecided.
AMS subject classification (1980)05 B 99
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- R. H. Barker, Group synchronizing of binary digital systems, in:Communication Theory, (W. Jackson, ed.), Academic Press, New York, (1953), 273–287.Google Scholar