List questions from finite-fields

Published on 14 Apr 2026 - 20:12

57

Views

Proving an equality in finite fields

Published on 14 Apr 2026 - 0:35

283

Views

Inseparable field extension of degree 2

Published on 13 Apr 2026 - 6:22

76

Views

Additive energy of unit circle in $\mathbb{R}^2$ and $\mathbb{Z}_p^2$

Published on 11 Apr 2026 - 9:27

114

Views

Show the polynomial $f(x)$ is not primitive.

Published on 12 Apr 2026 - 7:16

317

Views

Syndrome computation of BCH code

Published on 17 Apr 2026 - 0:49

181

Views

Order of elements in the multiplicative group of the finite field extension

Published on 14 Apr 2026 - 16:59

60

Views

What is the meaning of $A+B$ when $A$ and $B$ are two finite fields?

Published on 17 Apr 2026 - 0:56

102

Views

$(X^2+1)(X^4+X^2+X+1)$ factorizes as product of degree $1$ polynomials over $81$ elements field

Published on 16 Apr 2026 - 15:31

238

Views

Every algebraic extension of a finite field $F$ is separable

Published on 12 Apr 2026 - 10:34

301

Views

Order of $PSL(n,q)$

Published on 14 Apr 2026 - 6:16

354

Views

Finding torsion points of given order on elliptic curve

Published on 15 Apr 2026 - 0:49

153

Views

Find isomorphism between $L_1$ and $L_2$ finite fields

Published on 16 Apr 2026 - 8:30

77

Views

Can I choose $E/\mathbb{F}_q$ so that $\#E(\mathbb{F}_q) = a$ for any $a \in \{1,\dots,q^2 \}$?

Published on 16 Apr 2026 - 19:46

89

Views

Probability that all submatrices of a certain size have full rank over a finite field

Published on 15 Apr 2026 - 10:06

List Question

Splitting field of $X^3+X+1$ and $X^3-3$

Proving an equality in finite fields

Inseparable field extension of degree 2

Additive energy of unit circle in $\mathbb{R}^2$ and $\mathbb{Z}_p^2$

Show the polynomial $f(x)$ is not primitive.

Syndrome computation of BCH code

Order of elements in the multiplicative group of the finite field extension

What is the meaning of $A+B$ when $A$ and $B$ are two finite fields?

$(X^2+1)(X^4+X^2+X+1)$ factorizes as product of degree $1$ polynomials over $81$ elements field

Every algebraic extension of a finite field $F$ is separable

Order of $PSL(n,q)$

Finding torsion points of given order on elliptic curve

Find isomorphism between $L_1$ and $L_2$ finite fields

Can I choose $E/\mathbb{F}_q$ so that $\#E(\mathbb{F}_q) = a$ for any $a \in \{1,\dots,q^2 \}$?

Probability that all submatrices of a certain size have full rank over a finite field

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