Question

A Systematic Method To Obtain some Special Elements over Binary Finite Fields

score 67 · Answer 1 · 2026-03-25 20:41:43

67

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A Systematic Method To Obtain some Special Elements over Binary Finite Fields

Published on 25 Mar 2026 - 20:41

score 234 · Answer 2 · 2018-08-15 09:41:34

234

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Find number of polynomials in $P_n(F)$ where $F$ is a finite field with cardinality $m$.

Published on 15 Aug 2018 - 9:41

score 60 · Answer 3 · 2018-08-15 20:09:32

60

Views

The number of entries equal to 1 in a binary matrix and the number of directed cycles in the graph corresponding to the matrix

Published on 15 Aug 2018 - 20:09

score 113 · Answer 4 · 2026-03-25 04:36:58

113

Views

Constant sum of characters

Published on 25 Mar 2026 - 4:36

score 84 · Answer 5 · 2026-03-25 17:22:56

84

Views

Are finite extensions of global function fields always simple?

Published on 25 Mar 2026 - 17:22

score 400 · Answer 6 · 2018-08-17 03:41:10

Does there exist a prime p for each natural n such that all polynomials in Zp of nth degree or less with coefficients in [-n,n]∩Z split?

score 265 · Answer 7 · 2026-03-25 09:45:48

265

Views

Nilpotent binary matrices over finite fields

Published on 25 Mar 2026 - 9:45

score 44 · Answer 8 · 2018-08-18 07:07:28

44

Views

Find a simple formula of k numbers which gives output a number not among these k numbers.

Published on 18 Aug 2018 - 7:07

score 149 · Answer 9 · 2018-08-18 10:50:47

149

Views

Least squares in $\mathbb{F}_2$ using pseudo-inverse

Published on 18 Aug 2018 - 10:50

score 203 · Answer 10 · 2018-08-18 11:02:32

203

Views

Non-abelian Cartan subalgebras

Published on 18 Aug 2018 - 11:02

score 103 · Answer 11 · 2018-08-18 22:20:51

103

Views

Show that $|A|$ divides $q-1$ for $A\in SL(2,\mathbb{F}_q)$ if $x^2-\text{tr}(A)x+1=0$ has distinct solutions in $\mathbb{F}_q$

Published on 18 Aug 2018 - 22:20

score 314 · Answer 12 · 2026-03-25 04:43:25

314

Views

Set of primes $p$ which $x^4-x^3-2x^2-2x-1$ completely factors in finite field of order $p$

Published on 25 Mar 2026 - 4:43

score 1.1k · Answer 13 · 2026-03-25 01:21:54

1.1k

Views

Factorization of matrices over GF$(2)$

Published on 25 Mar 2026 - 1:21

score 95 · Answer 14 · 2026-03-25 17:36:42

95

Views

Irreducible Polynomials of a Ring

Published on 25 Mar 2026 - 17:36

score 524 · Answer 15 · 2026-03-25 13:58:11

524

Views

What are non-canonical generators of $\hat{\mathbb{Z}}$ (resp. the absolute Galois group of a finite field)?

Published on 25 Mar 2026 - 13:58

List Question

A Systematic Method To Obtain some Special Elements over Binary Finite Fields

Find number of polynomials in $P_n(F)$ where $F$ is a finite field with cardinality $m$.

The number of entries equal to 1 in a binary matrix and the number of directed cycles in the graph corresponding to the matrix

Constant sum of characters

Are finite extensions of global function fields always simple?

Does there exist a prime p for each natural n such that all polynomials in Zp of nth degree or less with coefficients in [-n,n]∩Z split?

Nilpotent binary matrices over finite fields

Find a simple formula of k numbers which gives output a number not among these k numbers.

Least squares in $\mathbb{F}_2$ using pseudo-inverse

Non-abelian Cartan subalgebras

Show that $|A|$ divides $q-1$ for $A\in SL(2,\mathbb{F}_q)$ if $x^2-\text{tr}(A)x+1=0$ has distinct solutions in $\mathbb{F}_q$

Set of primes $p$ which $x^4-x^3-2x^2-2x-1$ completely factors in finite field of order $p$

Factorization of matrices over GF$(2)$

Irreducible Polynomials of a Ring

What are non-canonical generators of $\hat{\mathbb{Z}}$ (resp. the absolute Galois group of a finite field)?

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