List questions from finite-fields

Published on 02 Mar 2019 - 18:40

75

Views

Solution to $x^q+\alpha x= \beta$

Published on 02 Mar 2019 - 19:48

65

Views

Example of certain polynomial over field

Published on 02 Mar 2019 - 20:30

187

Views

Dimension of splitting field as the order of an element mod n

Published on 25 Mar 2026 - 22:30

93

Views

Probability of finding polynomials in a field

Published on 05 Mar 2019 - 16:04

32

Views

How to find the smallest extension field of $GF(p)$ which is a splitting field for all quotient groups $N_i/P_i$?

Published on 07 Mar 2019 - 19:53

217

Views

The maximum number of some elements in the finite field.

Published on 07 Mar 2019 - 22:14

40

Views

A question about Galois group

Published on 09 Mar 2019 - 16:33

401

Views

Non-cyclic Codes

Published on 26 Mar 2026 - 9:45

123

Views

Factor Rings over Finite Fields

Published on 25 Mar 2026 - 20:34

145

Views

Found $x^8$ while calculating inverse of $(x^6+1)$ in finite field $GF(2^8)$. Help???

Published on 25 Mar 2026 - 17:21

162

Views

Factoring a polynomial in $\mathbb{Z_3}$ into linear factors.

Published on 10 Mar 2019 - 17:56

95

Views

Are there infinitely many finite fields of non-two prime order with consecutive quadratic residues?

Published on 26 Mar 2026 - 11:18

31

Views

Understanding the defining polynomial of the finite field $F_{p^d}$

Published on 11 Mar 2019 - 1:20

95

Views

Show that $U(A)\cup\{0\}$ is a field and $|A|\equiv1\pmod p$

Published on 11 Mar 2019 - 20:16

List Question

How can I construct a field of $p^n$ elements?

Solution to $x^q+\alpha x= \beta$

Example of certain polynomial over field

Dimension of splitting field as the order of an element mod n

Probability of finding polynomials in a field

How to find the smallest extension field of $GF(p)$ which is a splitting field for all quotient groups $N_i/P_i$?

The maximum number of some elements in the finite field.

A question about Galois group

Non-cyclic Codes

Factor Rings over Finite Fields

Found $x^8$ while calculating inverse of $(x^6+1)$ in finite field $GF(2^8)$. Help???

Factoring a polynomial in $\mathbb{Z_3}$ into linear factors.

Are there infinitely many finite fields of non-two prime order with consecutive quadratic residues?

Understanding the defining polynomial of the finite field $F_{p^d}$

Show that $U(A)\cup\{0\}$ is a field and $|A|\equiv1\pmod p$

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