## 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
β¦ LIBER β¦
Primitive elements and polynomials with arbitrary trace
β Scribed by Stephen D. Cohen
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 376 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
With one non-trivial exception, GF(q") contains a primitive element of arbitrary trace over GF(q).
Johannesburg.
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