Title
Primitive normal polynomials with the specified last two coefficients
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 Fan1527.89
Xiaozhe Wang225522.84