Constructing normal bases of \(G F\left(q^{n}\right)\) over \(G F(q)\) can be done by probabilistic methods as well as deterministic ones. In the following paper we consider only deterministic constructions. As far as we know, the best complexity for probabilistic algorithms is \(O\left(n^{2} \log ^
✦ LIBER ✦
Ideals with bases of unbounded Borel complexity
✍ Scribed by Piotr Borodulin-Nadzieja; Szymon Gła̧b
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 151 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
We present several naturally defined σ-ideals which have Borel bases but, unlike for the classical examples, these ideals are not of bounded Borel complexity. We investigate set-theoretic properties of such σ-ideals.
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