List questions from finite-fields

65

Views

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

Published on 05 May 2026 - 6:20

860

Views

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

Published on 10 May 2026 - 20:17

235

Views

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

Published on 14 Apr 2026 - 20:03

131

Views

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

Published on 04 May 2026 - 2:13

1k

Views

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

Published on 13 Apr 2026 - 2:51

258

Views

Laurent Series of root of polynomials

Published on 10 May 2026 - 16:12

355

Views

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

Published on 14 Apr 2026 - 21:30

295

Views

Irreducible polynomial over $GF(32)$

Published on 14 Apr 2026 - 18:06

117

Views

Characterization of finite field in residue ring

Published on 12 Apr 2026 - 6:10

52

Views

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

Published on 10 May 2026 - 16:09

83

Views

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

Published on 14 Apr 2026 - 4:04

197

Views

Probability and linear algebra

Published on 10 May 2026 - 15:36

97

Views

An Extension of an $MDS$ Code

Published on 10 May 2026 - 14:54

1.6k

Views

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

Published on 10 May 2026 - 15:39

92

Views

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

Published on 10 Apr 2026 - 17:35

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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