On the structure property of PCR's adjacency graph with a prime order and its application of constructing M-sequences

DOI10.1007/978-3-030-71852-7_20zbMath1492.94231OpenAlexW3136208660MaRDI QIDQ2057156

Kuan He, Congwei Zhou, Jie Guan, Bin Hu

Publication date: 8 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-71852-7_20

zbMATH Keywords

spanning treeadjacency graphM-sequencespure circulating shift register

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Applications of graph theory to circuits and networks (94C15)

Cites Work

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• Weight class distributions of de Bruijn sequences
• The analysis of de Bruijn sequences of non-extremal weight
• Extreme weight classes of de Bruijn sequences
• Generating and Counting the Double Adjacencies in a Pure Circulating Shift Register
• On a Homomorphism of the de Bruijn Graph and its Applications to the Design of Feedback Shift Registers
• Further results on the Bruijn weight classes

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