On greedy algorithms for binary de Bruijn sequences

We propose a general greedy algorithm for binary de Bruijn sequences, called Generalized Prefer-Opposite Algorithm, and its modifications. By identifying specific feedback functions and initial states, we demonstrate that most previously-known greedy algorithms that generate binary de Bruijn sequenc...

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Main Authors: Chang, Zuling, Ezerman, Martianus Frederic, Fahreza, Adamas Aqsa
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
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Online Access:https://hdl.handle.net/10356/146464
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1464642023-02-28T19:54:24Z On greedy algorithms for binary de Bruijn sequences Chang, Zuling Ezerman, Martianus Frederic Fahreza, Adamas Aqsa School of Physical and Mathematical Sciences Science::Mathematics de Bruijn Sequences Greedy Algorithm We propose a general greedy algorithm for binary de Bruijn sequences, called Generalized Prefer-Opposite Algorithm, and its modifications. By identifying specific feedback functions and initial states, we demonstrate that most previously-known greedy algorithms that generate binary de Bruijn sequences are particular cases of our algorithm. Nanyang Technological University Accepted version Nanyang Technological University Grant M4080456 supports the research carried out by M. F. Ezerman and A. A. Fahreza. 2021-02-18T02:13:15Z 2021-02-18T02:13:15Z 2020 Journal Article Chang, Z., Ezerman, M. F., & Fahreza, A. A. (2020). On greedy algorithms for binary de Bruijn sequences. Applicable Algebra in Engineering, Communication and Computing. doi:10.1007/s00200-020-00459-3 1432-0622 https://hdl.handle.net/10356/146464 10.1007/s00200-020-00459-3 2-s2.0-85092648185 en Applicable Algebra in Engineering, Communication and Computing © 2020 Springer. This is a post-peer-review, pre-copyedit version of an article published in Applicable Algebra in Engineering, Communication and Computing. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00200-020-00459-3 application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Mathematics
de Bruijn Sequences
Greedy Algorithm
spellingShingle Science::Mathematics
de Bruijn Sequences
Greedy Algorithm
Chang, Zuling
Ezerman, Martianus Frederic
Fahreza, Adamas Aqsa
On greedy algorithms for binary de Bruijn sequences
description We propose a general greedy algorithm for binary de Bruijn sequences, called Generalized Prefer-Opposite Algorithm, and its modifications. By identifying specific feedback functions and initial states, we demonstrate that most previously-known greedy algorithms that generate binary de Bruijn sequences are particular cases of our algorithm.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Chang, Zuling
Ezerman, Martianus Frederic
Fahreza, Adamas Aqsa
format Article
author Chang, Zuling
Ezerman, Martianus Frederic
Fahreza, Adamas Aqsa
author_sort Chang, Zuling
title On greedy algorithms for binary de Bruijn sequences
title_short On greedy algorithms for binary de Bruijn sequences
title_full On greedy algorithms for binary de Bruijn sequences
title_fullStr On greedy algorithms for binary de Bruijn sequences
title_full_unstemmed On greedy algorithms for binary de Bruijn sequences
title_sort on greedy algorithms for binary de bruijn sequences
publishDate 2021
url https://hdl.handle.net/10356/146464
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