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#1 2009-10-04 12:34:37
- enjoymath
- Guest
trace is a non-singular
How do I show that trace map defined as follows is a non-degenerate map.
tr: F_{q^n} -> F_{q}
tr(x) = sum{i=0 to n-1} x^{q^i}
I do not need full proof ... just some hints.
Thanks.
#2 2009-10-04 13:47:42
- Avon
- Member
- Registered: 2007-06-28
- Posts: 80
Re: trace is a non-singular
The trace map is a polynomial over the field F_{q^n}. How many roots can it have?
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#3 2009-10-04 14:51:42
- enjoymath
- Guest
Re: trace is a non-singular
Thanks. 
I did not realize it was so easy.
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