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15
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A finite field is not algebraically closed.

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#abstract-algebra #finite-fields
34
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lower bounds for points of a smooth variety over finite field

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#algebraic-geometry #finite-fields
130
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Linear transformation between vector spaces over $\mathbb{Z}_5$

Published on
#linear-algebra #vector-spaces #linear-transformations #finite-fields
493
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Find an ideal $I$ in $A$ so that $A/I$ is a finite field with $25$ elements.

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#abstract-algebra #ideals #finite-fields #maximal-and-prime-ideals #polynomial-rings
213
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Shannon entropy and space vector dimension

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#probability #random-variables #finite-fields #information-theory #entropy
162
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If $x^3$ is a square, is $x$ a square?

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#number-theory #modular-arithmetic #finite-fields
312
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performing division and multiplication over GF(p)

Published on
#finite-fields
39
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Is there a way to map $GF(2^m)$ to $GF(p)$ and back again?

Published on
#finite-fields #galois-extensions
627
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Reed Solomon Error Detection Capability only guaranteed to be Error Correction Capability

Published on
#field-theory #galois-theory #finite-fields #coding-theory
104
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Sylow subgroup of a subgroup 5

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#abstract-algebra #group-theory #finite-groups #finite-fields #classical-groups
48
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Number of roots of $f(x,y)\equiv0\bmod p$?

Published on
#polynomials #modular-arithmetic #roots #finite-fields
119
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Primitive subgroups of the general linear group over a finite field

Published on
#finite-groups #finite-fields #general-linear-group
252
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Number of maximal ideals of $F_q[x_1,...,x_n]$

Published on
#algebraic-geometry #commutative-algebra #finite-fields #maximal-and-prime-ideals #polynomial-rings
68
Views

Interesting eigenvalues of adjacency graph

Published on
#linear-algebra #graph-theory #eigenvalues-eigenvectors #galois-theory #finite-fields
888
Views

The order of a $ 2 \times 2 $ matrix mod $ p $

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#matrices #group-theory #finite-groups #finite-fields

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