
This paper establishes necessary and sufficient conditions for a k-dimensional linear code over the ring $\mathbb{Z}_{p^l}$ to achieve minimality. It also provides upper and lower bounds for the existence of minimal linear codes of a given dimension.


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necessary-and-sufficient-conditions-for-minimal-linear-codes-over-the-ring-mathbb-z-p-l-


Necessary and Sufficient Conditions for Minimal Linear Codes over the Ring $\mathbb{Z}_{p^l}$
