On the non-existence of barker sequences

Abstract

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.

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References

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Elia, M. On the non-existence of barker sequences. Combinatorica 6, 275–278 (1986). https://doi.org/10.1007/BF02579388

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AMS subject classification (1980)

  • 05 B 99