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arXiv · 2107.14602

Canonical matrices with entries integers modulo p

Krasimir Yordzhev
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Abstract

The work considers an equivalence relation in the set of all $n\times m$ matrices with entries in the set $[p]=\{ 0,1,\ldots , p-1 \}$. In each element of the factor-set generated by this relation, we define the concept of canonical matrix, namely the minimal element with respect to the lexicographic order. We have found a necessary and sufficient condition for an arbitrary matrix with entries in the set $[p]$ to be canonical. For this purpose, the matrices are uniquely represented by ordered n-tuples of integers.

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Krasimir Yordzhev. 2021-07-30. Canonical matrices with entries integers modulo p. https://doi.org/10.7546/nntdm.2018.24.4.133-143

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