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Primitive elements and polynomials with arbitrary trace

✍ Scribed by Stephen D. Cohen


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
376 KB
Volume
83
Category
Article
ISSN
0012-365X

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✦ Synopsis


With one non-trivial exception, GF(q") contains a primitive element of arbitrary trace over GF(q).

Johannesburg.


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## Let F O denote the "nite "eld of order q, a power of a prime p, and n be a positive integer. We resolve completely the question of whether there exists a primitive element of F O L which is such that it and its reciprocal both have zero trace over F O . Trivially, there is no such element when

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Extensions of a new technique for the ΓΏnite element modelling of cracks with multiple branches, multiple holes and cracks emanating from holes are presented. This extended ΓΏnite element method (X-FEM) allows the representation of crack discontinuities and voids independently of the mesh. A standard