Applications of Strongly Regular Cayley Graphs to Codebooks

Applications of Strongly Regular Cayley Graphs to Codebooks

In this paper, we give a construction of strongly regular Cayley graphs on the finite field \mathbb {F}_{q^{n}} . As applications of these strongly regular Cayley graphs, a class of codebooks is presented and proved to be asymptotically optimal with respect to the Welch bound. Further more, these c...

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Veröffentlicht in:IEEE access 2023, Vol.11, p.106980-106986
Hauptverfasser: Wang, Qiuyan, Liang, Xiaodan, Jin, Rize, Yan, Yang
Format: Artikel
Sprache:eng
Schlagworte:
Additives
Cayley graphs
codebooks
Fields (mathematics)
Gauss sums
Graph theory
Graphs
Multiaccess communication
Space-time codes
strongly regular graphs
Symbols
Technological innovation
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Zusammenfassung:In this paper, we give a construction of strongly regular Cayley graphs on the finite field \mathbb {F}_{q^{n}} . As applications of these strongly regular Cayley graphs, a class of codebooks is presented and proved to be asymptotically optimal with respect to the Welch bound. Further more, these constructed codebooks have new parameters.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2023.3320559