A New Approach to Determine the Minimal Polynomials of Binary Modified de Bruijn Sequences

A New Approach to Determine the Minimal Polynomials of Binary Modified de Bruijn Sequences

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A binary modified de Bruijn sequence is an infinite and periodic binary sequence derived by removing a zero from the longest run of zeros in a binary de Bruijn sequence. The minimal polynomial of the modified sequence is its unique least-degree characteristic polynomial. Leveraging a recent characte...

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Bibliographic Details
Main Authors: Musthofa, Indah Emilia Wijayanti, Diah Junia Eksi Palupi, Martianus Frederic Ezerman
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Mathematics
Subjects:
binary sequence
Hamiltonian cycle
linear span
minimal polynomial
modified de Bruijn sequence
Online Access:https://www.mdpi.com/2227-7390/10/15/2577

Internet

https://www.mdpi.com/2227-7390/10/15/2577

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