Polynomial Equations and Rank of Matrices Over F_2 Related to Persymmetric Matrices
Jorgen Cherly
TL;DR
This paper explores the relationship between solutions to polynomial equations with degree constraints and the rank of matrices associated with persymmetric matrices over the finite field F_2.
Contribution
It demonstrates the connection between polynomial solutions and matrix ranks in the context of persymmetric matrices through illustrative examples.
Findings
Established link between polynomial solutions and matrix ranks over F_2
Provided examples illustrating the connection
Enhanced understanding of matrix properties related to polynomial equations
Abstract
In this paper we illustrate by some examples the connection between the number of solutions of polynomial equations satisfying degree conditions and the number of rank I matrices related to persymmetric matrices.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Matrix Theory and Algorithms · Graph theory and applications