Year: 2018
Type: article
Abstract: The work considers an equivalence relation in the set of all n × m matrices with entries in the set [p] = {0, 1, . . ., 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.
Author: Krasimir Yordzhev
Institution: South-West University "Neofit Rilski"
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2910114025