On the matrix equation Xn=B over finite fields
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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000663 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |