\begin{document}$ E_{\text{QG},1} > 5.4 \times 10^{19} \, \text{GeV} $\end{document} (subluminal) and \begin{document}$ E_{\text{QG},1} > 2.7 \times 10^{19} \, \text{GeV} $\end{document} (superluminal) for the linear case (n = 1), and \begin{document}$ E_{\text{QG},2} > 10.0 \times 10^{12} \, \text{GeV} $\end{document} (subluminal) and \begin{document}$ E_{\text{QG},2} > 2.4 \times 10^{12} \, \text{GeV} $\end{document} (superluminal) for the quadratic case (n = 2). Subsequently, we incorporate WCDA photons and the Knuth binning method to further optimize and complement our approach while also performing filtering using information entropies. Furthermore, we demonstrate that employing different information entropy measures as cost functions does not alter the order of magnitude of these constraints."> Constraints on Lorentz invariance violation from GRB 221009A using the DisCan method -
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