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irreducibility of a polynomial over $\mathbb{F}_2$

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#abstract-algebra #polynomials #finite-fields #irreducible-polynomials
257
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Is there any algorithm that produces irreducible polynomials over $\mathbb{F}_2$?

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#abstract-algebra #polynomials #algorithms #finite-fields #irreducible-polynomials
86
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What do $l+p$ and $lp$, where $p$ is a point and $l$ is a line, mean in geometery?

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#graph-theory #notation #analytic-geometry #finite-fields #finite-geometry
62
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Maximal proper subfields and the behavior of the norm

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#field-theory #finite-fields #extension-field
249
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Is there another methods for counting points on the curve $x^3 + y^3 =1$ over finite fields?

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#finite-fields #elliptic-curves
198
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Average of additive character sum over all polynomials of degree at most $d$ over $GF(q)$

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#algebraic-number-theory #finite-fields #analytic-number-theory #characters #exponential-sum
1.1k
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How to construct isogenies between elliptic curves over finite fields for some simple cases?

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#number-theory #algebraic-geometry #finite-fields #elliptic-curves
28
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Galois subfields

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#finite-fields
547
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Finding all elements in GF(2^4) in terms of given polynomial

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#polynomials #galois-theory #finite-fields #coding-theory
6.2k
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Construct generator matrix given generator polynomial?

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#matrices #polynomials #galois-theory #finite-fields #coding-theory
385
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Separable and inseparable extensions.

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#galois-theory #finite-fields
56
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In what way is a quadratic extention to a finite field isomorphic to a finite field of higher order?

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#reference-request #algebraic-number-theory #galois-theory #finite-fields
111
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What does it mean to represent elements of an ideal?

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#galois-theory #ideals #finite-fields #coding-theory
351
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How to find the minimum polynomial over a Galois Field

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#finite-fields #minimal-polynomials
1.1k
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Finding matrix such that it has a given kernel.

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#linear-algebra #matrices #finite-fields

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