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Matrices in [formula omitted] with quadratic minimal polynomial.
- Source :
-
Finite Fields & Their Applications . Mar2024, Vol. 95, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- By a result of Latimer and MacDuffee, there are a finite number of equivalence classes of n × n matrices over F q [ T ] with minimum polynomial p (X) , where p is an n th degree polynomial, irreducible over F q [ T ]. In this paper, we develop an algorithm for finding a canonical representative of each matrix class, for p (X) = X 2 − Γ X − Δ ∈ F q [ T ] [ X ]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*MATRICES (Mathematics)
*IRREDUCIBLE polynomials
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 95
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 175833632
- Full Text :
- https://doi.org/10.1016/j.ffa.2024.102361