Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649660 | Discrete Mathematics | 2009 | 12 Pages |
Abstract
We get that for any element a∈Fqa∈Fq and any primitive element b∈Fq∗, there exists a primitive normal polynomial f(x)=xn−σ1xn−1+⋯+(−1)n−1σn−1x+(−1)nσnf(x)=xn−σ1xn−1+⋯+(−1)n−1σn−1x+(−1)nσn with σn−1=aσn−1=a, σn=bσn=b for n≥5n≥5. The estimates of hybrid extended Kloostermann sums over finite fields and some new variations of Cohen’s sieve techniques help to get the above result.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Shuqin Fan, Xiaozhe Wang,