Application of multi-secret sharing schemes using LCD codes over R=Rw\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {R}=\mathcal {R}\left[ w\right] $$\end{document}

This article investigates the application of a Gray map and Gray images in the context of linear codes over R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {R}$$\end{document}. It explores the properties and utility of linear codes within this framework, including their role in constructing LCD codes. Furthermore, the article examines the implementation of multi-secret sharing schemes using LCD codes over R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {R}$$\end{document}. It also provides a comprehensive analysis and assessment of the security features of these codes, offering insights into their strength and robustness.