Computer description of finite fields
โ Scribed by Yu. P. Vasil'ev
- Publisher
- Springer US
- Year
- 1980
- Tongue
- English
- Weight
- 296 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Given an abstract group G it is important to be able to find explicit generators for a concrete group isomorphic to G, in order to perform calculations with the group. In this paper we describe a method of using the "Meat-axe" to construct explicit matrix generators for a given group.
In this paper, we provide an account of several new techniques for computing the primitive idempotents of a commutative artinian algebra over a finite field. Examples of such algebras include the center of a finite group algebra or any finite dimensional quotient of a polynomial ring. The computatio
Although it is easy to prove that two finite fields having the same cardinality are isomorphic, the proof uses embeddings into an algebraic closure (or at least into a common overfield), hence is not constructive, and so does not provide explicit isomorphisms. We give algorithms to solve this proble