Balanced de Bruijn Sequences

The de Bruijn graph and its sequences have found many diverse applications in information theory as well as other areas of computer science and engineering such as interconnection networks, VLSI decomposition, and most recently in DNA storage. Binary balanced sequences have also been a subject to a...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:2021 IEEE International Symposium on Information Theory (ISIT) S. 1528 - 1533
Hauptverfasser: Marcovich, Sagi, Etzion, Tuvi, Yaakobi, Eitan
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 12.07.2021
Schlagworte:
Computer science
Decoding
DNA
Encoding
Genetic communication
Multiprocessor interconnection
Very large scale integration
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The de Bruijn graph and its sequences have found many diverse applications in information theory as well as other areas of computer science and engineering such as interconnection networks, VLSI decomposition, and most recently in DNA storage. Binary balanced sequences have also been a subject to a large research during the last forty years with various applications and a lot of interest in information theory. There have been some works on classification of balanced sequences mainly based on their spectral-null order. This work generalizes the concept of de Bruijn sequences, based on the de Bruijn graph of order \ell , where each edge is multiplied to a fixed number of multiple edges. This implies that in the sequences derived from the generalized graph each l-tuple has the same multiplicity. Using this generalization we form an interesting hierarchy between balanced sequences. Furthermore, another hierarchy is given by the derivatives of balanced sequences. Enumeration for each such family of sequences and efficient encoding and decoding algorithms are also provided.
DOI:10.1109/ISIT45174.2021.9517873