Takingpth Roots Modulo Polynomials over Finite Fields
β Scribed by Klaus Huber
- Book ID
- 111539435
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 74 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0925-1022
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Given a finite field __F__~__q__~ of order __q__, a fixed polynomial __g__ in β__F__~q~[__X__] of positive degree, and two elements __u__ and __v__ in the ring of polynomials in __R__ = __F__~__q__~ [__X__]/__gF__~__q__~[__X__], the question arises: How many pairs (a, 6) are there in __
A recently discovered family of indecomposable polynomials of nonprime power degree over \(\mathbb{F}_{2}\) (which include a class of exceptional polynomials) is set against the background of the classical families and their monodromy groups are obtained without recourse to the classification of fin