Some Algebraic Properties of Finite Binary Sequences

Małgorzata Filipczak; Tomasz Filipczak

doi:10.1515/tmmp-2016-0008

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Some Algebraic Properties of Finite Binary Sequences

Tatra Mountains Mathematical Publications

Volume 65 (2016): Issue 1 (March 2016)

By: Małgorzata Filipczak and Tomasz Filipczak

Open Access

|Aug 2016

Abstract

We study properties of differences of finite binary sequences with a fixed number of ones, treated as binary numbers from ℤ (2^m).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 .

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Articles in this issue

DOI: https://doi.org/10.1515/tmmp-2016-0008 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 93 - 104

Submitted on: Oct 21, 2015

Published on: Aug 4, 2016

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

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© 2016 Małgorzata Filipczak, Tomasz Filipczak, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 65 (2016): Issue 1 (March 2016)