| Autor: |
Sharma, Avnish K., Rani, Mamta, Tiwari, Sharwan K. |
| Předmět: |
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| Zdroj: |
Journal of Algebra & Its Applications; Jul2023, Vol. 22 Issue 7, p1-19, 19p |
| Abstrakt: |
In this paper, we consider rational functions f with some minor restrictions over the finite field q n , where q = p k for some prime p and positive integer k. We establish a sufficient condition for the existence of a pair (α , f (α)) of primitive normal elements in q n over q. Moreover, for q = 2 k and rational functions f with quadratic numerators and denominators, we explicitly find that there are at most 5 5 finite fields q n in which such a pair (α , f (α)) of primitive normal elements may not exist. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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