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15
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Trace form and totally real number fields

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#reference-request #quadratic-forms #field-trace
54
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Let $ f $ be an irreducible polynomial in $ \mathbb{F }_q [x] $, why $ f ^\frac{s}{deg (f)} $ has degree term $ s-1 $?

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#abstract-algebra #polynomials #finite-fields #characters #field-trace
104
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solutions of gold APN functions using trace function

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#cryptography #primitive-roots #field-trace
1.5k
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Trace of an algebraic integer is an integer?

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#algebraic-number-theory #normed-spaces #field-trace
885
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Let $K|F$ be a finite separable extension (algebraic), then show that $\operatorname{Tr}_{K|F} : K \to F$ is surjective.

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#galois-theory #field-trace
187
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Members of finite field with equal Norm and Trace

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#discrete-mathematics #finite-fields #field-trace
65
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definition of the trace by conjugates and using the characteristic polynomial

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#finite-fields #field-trace
291
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Existence of orthogonal base for finite Galois extension over characteristic 2

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#linear-algebra #abstract-algebra #extension-field #galois-extensions #field-trace
115
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Trace Form on Product of Fields

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#number-theory #commutative-algebra #algebraic-number-theory #trace #field-trace
790
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Norm and trace of an element in a cyclotomic number field

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#abstract-algebra #field-theory #normed-spaces #extension-field #field-trace
126
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A statement about normal basis element , trace and characteristic of field

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#field-theory #extension-field #positive-characteristic #normal-extension #field-trace
61
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Relation between trace and norm in a quadratic field extension

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#algebraic-number-theory #field-trace
45
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Show $\mathbb{F}_p(b)=\mathbb{F}_{p^{pk}}$ where $1/(1-b)$ is a root of $x^p-x-a^{-1}$

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#abstract-algebra #number-theory #finite-fields #extension-field #field-trace
57
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How many linear transformations from $F$ into $K$?

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#linear-transformations #finite-fields #field-trace
155
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Trace of an element over finite field

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#linear-algebra #abstract-algebra #number-theory #galois-theory #field-trace

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