Abstract | ||
---|---|---|
We get that for any element a@?F\"q and any primitive element b@?F\"q^*, there exists a primitive normal polynomial f(x)=x^n-@s\"1x^n^-^1+...+(-1)^n^-^1@s\"n\"-\"1x+(-1)^n@s\"n with @s\"n\"-\"1=a, @s\"n=b for n=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. |
Year | DOI | Venue |
---|---|---|
2009 | 10.1016/j.disc.2009.02.012 | Discrete Mathematics |
Keywords | Field | DocType |
kloostermann sums,finite field,normal basis,primitive polynomial | Discrete mathematics,Finite field,Combinatorics,Primitive polynomial,Polynomial,Existential quantification,Normal basis,Primitive element,Function composition,Sieve,Mathematics | Journal |
Volume | Issue | ISSN |
309 | 13 | Discrete Mathematics |
Citations | PageRank | References |
2 | 0.51 | 4 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Shuqin Fan | 1 | 52 | 7.89 |
Xiaozhe Wang | 2 | 255 | 22.84 |