English

Maximum-order Complexity and Correlation Measures

Number Theory 2017-03-28 v1

Abstract

We estimate the maximum-order complexity of a binary sequence in terms of its correlation measures. Roughly speaking, we show that any sequence with small correlation measure up to a sufficiently large order kk cannot have very small maximum-order complexity.

Keywords

Cite

@article{arxiv.1703.09151,
  title  = {Maximum-order Complexity and Correlation Measures},
  author = {Leyla Işık and Arne Winterhof},
  journal= {arXiv preprint arXiv:1703.09151},
  year   = {2017}
}