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On the matrix equation Xn=B over finite fields
oleh: Maria T. Acosta-De-Orozco, Javier Gomez-Calderon
Format: | Article |
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Diterbitkan: | Wiley 1993-01-01 |
Deskripsi
Let GF(q) denote the finite field of order q=pe with p odd and prime. Let M denote the ring of m×m matrices with entries in GF(q). In this paper, we consider the problem of determining the number N=N(n,m,B) of the n-th roots in M of a given matrix B∈M.