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15
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Monomial permutation polynomial

Published on
#permutations #finite-fields
58
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Using quadratic extensions, show that there is only one field of order $p^2$ for an odd prime $p$.

Published on
#galois-theory #finite-fields
94
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Structural description for the order of $\mathrm{GL}_n(\mathbb F_q)$

Published on
#combinatorics #finite-fields #algebraic-groups
107
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Polynomial irreducibility over $\mathbb{F} _{7^n}$

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#field-theory #galois-theory #finite-fields #irreducible-polynomials
77
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Rank over $\mathbb F_p$ compared to rank over $\mathbb R$.

Published on
#linear-algebra #matrices #finite-fields #matrix-rank
53
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Minimum polynomial of generator of finite extension

Published on
#galois-theory #finite-fields #extension-field
326
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number of rational points of hyper elliptic curve $y^5=-x^2+x$ over $\Bbb{F}_{121}$

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#number-theory #finite-fields #elliptic-curves #algebraic-curves #arithmetic-geometry
94
Views

Generating de Bruijn sequence over Galois fields using primitive polynomial

Published on
#abstract-algebra #sequences-and-series #field-theory #galois-theory #finite-fields
79
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Why doesn't linearity of squaring over Galois Field imply linearity of cubing?

Published on
#linear-algebra #matrices #finite-fields
115
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Vandermonde submatrix corresponding to $n$th roots of unity and efficiently solving linear system of equations

Published on
#systems-of-equations #finite-fields #fast-fourier-transform
93
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Proving this polynomial is in $ K[X]$

Published on
#galois-theory #finite-fields #extension-field
74
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Counting mutually annihilating matrices over finite fields

Published on
#linear-algebra #matrices #finite-fields
39
Views

Question on smooth affine curves over finite fields and Hasse-Weil

Published on
#algebraic-geometry #finite-fields #curves
56
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Finding small root of $y = ax + b$ over a finite field

Published on
#algorithms #modular-arithmetic #roots #finite-fields #integer-lattices
441
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For multiplications over a finite field, what happens to the elements which, after modulo the reducing polynomial, still don't fit in the field?

Published on
#finite-fields

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