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trace of a matrix in $\mathbb{Z}_{227}$

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#linear-algebra #matrices #finite-fields
309
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Algebraic closure of the rational inside a quotient of product of finite fields

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#ring-theory #field-theory #algebraic-number-theory #finite-fields
316
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Orbits of Frobenius homomorphism in finite field extension

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#galois-theory #finite-fields
92
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Wiedemann for solving sparse linear equation

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#linear-algebra #sequences-and-series #finite-fields #numerical-linear-algebra
2.5k
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Prove $\mathbb{Z}_3[x]/(x^2+1)$ and $\mathbb{Z}_3[x]/(x^2+x-1)$ are isomorphic.

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#ring-theory #finite-fields
877
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Calculate all the generators in $\mathbb{Z}/61$

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#abstract-algebra #finite-fields
68
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Linear combination of Frobenius powers contains roots of polynomial

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#polynomials #finite-fields
776
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Computing number of points in elliptic curve through frobenius endomorphism

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#finite-fields #elliptic-curves
31
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What's the implication of the Frobenius automorphism to DLP

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#galois-theory #finite-fields #cryptography
88
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Prove these quadractic forms are equivalent over $\mathbb{Z_5}$

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#linear-algebra #finite-fields #quadratic-forms #diagonalization
922
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Number of self-inverse matrices over prime field

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#linear-algebra #matrices #finite-fields #involutions
36
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Determining subgroups of a finite field and their elements

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#finite-fields
1.1k
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Embed finite field in algebraic closed field

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#abstract-algebra #field-theory #finite-fields
76
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Why 2*3=6 in finite field?

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#abstract-algebra #field-theory #finite-fields
185
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Conversion from/to power form and polynomial basis is a finite field

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#finite-fields

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