Primitive normal polynomials with the specified last two coefficients |
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Authors: | Shuqin Fan Xiaozhe Wang |
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Affiliation: | Department of Applied Mathematics, Information Engineering University, Zhengzhou, 450002, PR China |
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Abstract: | We get that for any element a∈Fq and any primitive element , there exists a primitive normal polynomial f(x)=xn−σ1xn−1+?+(−1)n−1σn−1x+(−1)nσn with σn−1=a, σn=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. |
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Keywords: | Finite field Primitive polynomial Kloostermann sums Normal basis |
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