journal article
oaidoi:10.1016/0097-3165(89)90080-0

On the existence of a primitive quadratic of trace 1 over GF(pm)

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Publication date
31 May 1989
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Published by Elsevier Inc.
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    Abstract

    AbstractThe object of this paper is to prove the existence of a primitive quadratic of trace 1 over GF(pm). That is to say an irreducible quadratic x2 − x + g, g ϵ GFpm), whose roots are primite elements in GF(p2m). This solves Conjecture D, proposed by Golomb in (J. Combin. Theory Ser. A 37 (1984), 13–21)

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