a note of equivalence classes of matrices over a finite field
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ID: 234479
1981
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Abstract
Let Fqm×m denote the algebra of m×m matrices over the finite field Fq of q elements, and let Ω denote a group of permutations of Fq. It is well known that each ϕϵΩ can be represented uniquely by a polynomial ϕ(x)ϵFq[x] of degree less than q; thus, the group Ω naturally determines a relation ∼ on Fqm×m as follows: if A,BϵFqm×m then A∼B if ϕ(A)=B for some ϕϵΩ. Here ϕ(A) is to be interpreted as substitution into the unique polynomial of degree
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| Reference Key |
brawley1981internationala
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|---|---|
| Authors | ;J. V. Brawley;Gary L. Mullen |
| Journal | structural engineering and mechanics |
| Year | 1981 |
| DOI |
10.1155/S0161171281000161
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| URL | |
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