About this article
Published Online: Aug 04, 2016
Page range: 93 - 104
Received: Oct 21, 2015
DOI: https://doi.org/10.1515/tmmp-2016-0008
Keywords
© 2016
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
We study properties of differences of finite binary sequences with a fixed number of ones, treated as binary numbers from ℤ (2m).We show that any binary sequence consisting of m terms (except of the sequence (1, 0, . . . , 0)) can be presented as a difference of two sequences having exactly n ones, whenever