List questions from finite-fields

56

Views

What does $\varphi (n)$ denote in the context 'the class of $q$ modulo $n$ has order $\varphi (n)$'?

Published on 23 Mar 2026 - 13:02

857

Views

Show that the following polynomial is irreducible over $GF(2^2)$

Published on 25 Mar 2026 - 1:37

232

Views

All finite field $GF(p^m)$ has primitive $9$th root of unity.

Published on 13 Mar 2018 - 12:24

123

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Polynomial coefficients from GF(2^k) to GF(2)

Published on 21 Mar 2026 - 16:09

1000

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How do you discover an irreducible polynomial over a finite field that has a chosen degree?

Published on 14 Mar 2018 - 3:21

252

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Laurent Series of root of polynomials

Published on 17 Mar 2026 - 4:02

353

Views

Basis over GF(2^5) with sum of its elements = 1

Published on 25 Mar 2026 - 3:19

293

Views

Irreducible polynomial over $GF(32)$

Published on 25 Mar 2026 - 3:19

114

Views

Characterization of finite field in residue ring

Published on 17 Mar 2018 - 0:18

49

Views

If $p\equiv 2 \pmod{3}$ evaluate :

Published on 25 Mar 2026 - 4:37

80

Views

What does Lang mean by "acts in a natural way on $B/\mathfrak{P}$"?

Published on 19 Mar 2018 - 19:36

193

Views

Probability and linear algebra

Published on 21 Mar 2018 - 8:33

92

Views

An Extension of an $MDS$ Code

Published on 25 Mar 2026 - 7:42

1.5k

Views

Elliptic curve group of $y^2 = x^3 + 2x + 3$ over $\mathbb{F}_5$

Published on 23 Mar 2018 - 4:41

90

Views

How to show that, the Galois Group is doubly transitive.

Published on 25 Mar 2026 - 3:20

List Question

What does $\varphi (n)$ denote in the context 'the class of $q$ modulo $n$ has order $\varphi (n)$'?

Show that the following polynomial is irreducible over $GF(2^2)$

All finite field $GF(p^m)$ has primitive $9$th root of unity.

Polynomial coefficients from GF(2^k) to GF(2)

How do you discover an irreducible polynomial over a finite field that has a chosen degree?

Laurent Series of root of polynomials

Basis over GF(2^5) with sum of its elements = 1

Irreducible polynomial over $GF(32)$

Characterization of finite field in residue ring

If $p\equiv 2 \pmod{3}$ evaluate :

What does Lang mean by "acts in a natural way on $B/\mathfrak{P}$"?

Probability and linear algebra

An Extension of an $MDS$ Code

Elliptic curve group of $y^2 = x^3 + 2x + 3$ over $\mathbb{F}_5$

How to show that, the Galois Group is doubly transitive.

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