Spectral properties of generalized Paley graphs
RA Podestá, DE Videla - arXiv preprint arXiv:2310.15378, 2023 - arxiv.org
We study the spectrum of generalized Paley graphs $\Gamma (k, q)= Cay (\mathbb {F} _q,
R_k) $, undirected or not, with $ R_k=\{x^ k: x\in\mathbb {F} _q^*\} $ where $ q= p^ m $ with …
R_k) $, undirected or not, with $ R_k=\{x^ k: x\in\mathbb {F} _q^*\} $ where $ q= p^ m $ with …
[PDF][PDF] Spectral Properties of Generalized Paley Graphs of (q ℓ+ 1)-th Powers and Applications
RA Podesta, DE Videla - Discrete Mathematics, Algorithms and …, 2024 - drive.google.com
We consider a special class of generalized Paley graphs over finite fields, namely the
Cayley graphs with vertex set Fqm and connection set the nonzero (qℓ+ 1)-th powers in …
Cayley graphs with vertex set Fqm and connection set the nonzero (qℓ+ 1)-th powers in …
Spectral properties of generalized Paley graphs and their associated irreducible cyclic codes
RA Podestá, DE Videla - arXiv preprint arXiv:1908.08097, 2019 - arxiv.org
For $ q= p^ m $ with $ p $ prime and $ k\mid q-1$, we consider the generalized Paley graph
$\Gamma (k, q)= Cay (\mathbb {F} _q, R_k) $, with $ R_k=\{x^ k: x\in\mathbb {F} _q^*\} $, and …
$\Gamma (k, q)= Cay (\mathbb {F} _q, R_k) $, with $ R_k=\{x^ k: x\in\mathbb {F} _q^*\} $, and …
The spectra of generalized Paley graphs of -th powers and applications
RA Podestá, DE Videla - arXiv preprint arXiv:1812.03332, 2018 - arxiv.org
We consider a special class of generalized Paley graphs over finite fields, namely the
Cayley graphs with vertex set $\mathbb {F} _ {q^ m} $ and connection set the nonzero …
Cayley graphs with vertex set $\mathbb {F} _ {q^ m} $ and connection set the nonzero …
[引用][C] THE SPECTRA OF GENERALIZED PALEY GRAPHS AND OF THEIR ASSOCIATED IRREDUCIBLE CYCLIC CODES
RA Podestá, DE Videla - Small, 2019