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Elements of provable high orders in finite fields |
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| Authors: | Shuhong Gao |
| Affiliation: | Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634-1907 |
| Abstract: | A method is given for constructing elements in  whose orders are larger than any polynomial in  when  becomes large. As a by-product a theorem on multiplicative independence of compositions of polynomials is proved. |
| Keywords: | Finite fields primitive elements elements of provable high orders compositions of polynomials |
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