The Orders of Related Elements of a Finite Field |
| |
| Authors: | Cohen Stephen D |
| |
| Institution: | (1) Department of Mathematics, University of Glasgow, Glasgow, G12 8QW Scotland |
| |
| Abstract: | All finite fields
q (q  2, 3, 4, 5, 7, 9, 13, 25, 121) contain a primitive element  for which + 1/ is also primitive. All fields of square order
q
2 (q 3, 5) contain an element of order q + 1 for which + 1/ is a primitive element of the subfield
q. These are unconditional versions of general asymptotic results. |
| |
| Keywords: | finite field order primitive element arithmetical function character sum |
| 本文献已被 SpringerLink 等数据库收录！ |
|
