4 citations · 6 across the 5 of their papers we have counts for
5 papers
A note on Barker sequences of even length
Jürgen Willms
A Barker sequence is a binary sequence for which all nontrivial aperiodic autocorrelations are either 0, 1 or -1. The only known Barker sequences have length 2, 3, 4, 5, 7, 11 or 1…
Barker sequences of odd length
Kai-Uwe Schmidt, Jürgen Willms
A Barker sequence is a binary sequence for which all nontrivial aperiodic autocorrelations are at most 1 in magnitude. An old conjecture due to Turyn asserts that there is no Barke…
Run Vector Analysis and Barker Sequences of Odd Length
Jürgen Willms
The run vector of a binary sequence reflects the run structure of the sequence, which is given by the set of all substrings of the run length encoding. The run vector and the aperi…
Counterexamples to Theorem 1 of Turyn's and Storer's Paper "On Binary Sequences"
Jürgen Willms
Explicit counterexamples to Theorem 1 of R. Turyn's and J. Storer's often-cited paper "On Binary Sequences" [Proc. Amer. Math. Soc., vol. 12, no. 3, pp. 394-399, 1961] are given. T…
Autocorrelations of Binary Sequences and Run Structure
Jürgen Willms
We analyze the connection between the autocorrelation of a binary sequence and its run structure given by the run length encoding. We show that both the periodic and the aperiodic…