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Mathematics of Computation

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Some primitive polynomials of the third kind

Authors: Jacob T. B. Beard and Karen I. West
Journal: Math. Comp. 28 (1974), 1166-1167
MSC: Primary 12C05
MathSciNet review: 0366879
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Abstract: This paper gives the first primitive polynomial of the third kind of degree n over $ {\text{GF}}({p^d})$ for each p, d, n satisfying $ p < {10^2},{p^d} < {10^3},{p^{dn}} < {10^6}$.

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Keywords: Arithmetic in finite fields, primitive polynomials
Article copyright: © Copyright 1974 American Mathematical Society