Gapplet
Let F be a finite field of order q. Then q = pa, the power of a prime p, cf. a previous fact or a future theorem.
If d is a divisor of a, the F has a subfield of order pd. We show the elements of such a subfield, when given q and d.
It will become clear only later how the subfield is found.
Input a prime power q, e.g., 16 |
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Input a divisor d of the exponent of q, e.g., 2 if q = 16. |
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List the elements of the subfield of order pd of
the field of order q | |