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Polynomial equations for matrices over finite fields
Published online by Cambridge University Press: 17 April 2009
Abstract
Let E(x) be a monic polynomial over the finite field q of q elements. A formula for the number of n × n matrices θ over q, satisfying E(θ) = 0 is obtained by counting the representations of the algebra q[x]/(E(x)) of degree n. This simplifies a formula of Hodges.
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- Copyright © Australian Mathematical Society 1999
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