We study the parity of the number of irreducible factors of trinomials over Galois fields of characteristic 2. As a consequence, some sufficient conditions for a trinomial being reducible are obtained. For example, x n ϩ ax k ϩ b ʦ GF(2 t )[x] is reducible if both n, t are even, except possibly when
Temporal dimension over Galois fields of characteristic two
✍ Scribed by Metod Saniga
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 446 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Using Drinfeld modular curves we determine the places of supersingular reduction of elliptic curves over F 2 r( T) with certain conductors. This enables us to classify and describe explicitly all elliptic curves over F 2 r( T ) having a conductor of degree 4. Our results also imply that extremal ell
In this paper we study the characteristic polynomials and the rational point group structure of supersingular varieties of dimension two over finite fields. Meanwhile, we also list all L-functions of supersingular curves of genus two over ކ 2 and determine the group structure of their divisor clas