Finite Fields in GAP. How to get $d$ from the finite field with $p^d$ elements? Announcing the...
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Finite Fields in GAP. How to get $d$ from the finite field with $p^d$ elements?
Announcing the arrival of Valued Associate #679: Cesar Manara
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I'm currently working in an algorithm to decompose matrices in classical standard generators.
The thing is that the parameter of my main function gets a matrix m.
With the method: q := DefaultFieldOfMatrix(m) I can get the field with $p^d$ elements where $p$ is a prime and $d$ a natural number.
How can I return $d$ from $q$? Notice that I do not have $p$... Is there a method in GAP to return $d$ when I have in hands only the finite field?
Thanks!
gap
asked Mar 24 at 20:16
Bruno ReisBruno Reis
1,044418
$endgroup$
add a comment |
$begingroup$
I'm currently working in an algorithm to decompose matrices in classical standard generators.
The thing is that the parameter of my main function gets a matrix m.
With the method: q := DefaultFieldOfMatrix(m) I can get the field with $p^d$ elements where $p$ is a prime and $d$ a natural number.
How can I return $d$ from $q$? Notice that I do not have $p$... Is there a method in GAP to return $d$ when I have in hands only the finite field?
Thanks!
gap
asked Mar 24 at 20:16
Bruno ReisBruno Reis
1,044418
$endgroup$
2
$begingroup$
DegreeOverPrimeField(F)returns the extension degree.
$endgroup$
– ahulpke
Mar 24 at 21:14
add a comment |
$begingroup$
I'm currently working in an algorithm to decompose matrices in classical standard generators.
The thing is that the parameter of my main function gets a matrix m.
With the method: q := DefaultFieldOfMatrix(m) I can get the field with $p^d$ elements where $p$ is a prime and $d$ a natural number.
How can I return $d$ from $q$? Notice that I do not have $p$... Is there a method in GAP to return $d$ when I have in hands only the finite field?
Thanks!
gap
asked Mar 24 at 20:16
Bruno ReisBruno Reis
1,044418
$endgroup$
I'm currently working in an algorithm to decompose matrices in classical standard generators.
The thing is that the parameter of my main function gets a matrix m.
With the method: q := DefaultFieldOfMatrix(m) I can get the field with $p^d$ elements where $p$ is a prime and $d$ a natural number.
How can I return $d$ from $q$? Notice that I do not have $p$... Is there a method in GAP to return $d$ when I have in hands only the finite field?
Thanks!
gap
gap
asked Mar 24 at 20:16
Bruno ReisBruno Reis
1,044418
asked Mar 24 at 20:16
Bruno ReisBruno Reis
1,044418
asked Mar 24 at 20:16
Bruno ReisBruno Reis
1,044418
asked Mar 24 at 20:16
Bruno ReisBruno Reis
1,044418
asked Mar 24 at 20:16
Bruno ReisBruno Reis
1,044418
1,044418
2
$begingroup$
DegreeOverPrimeField(F)returns the extension degree.
$endgroup$
– ahulpke
Mar 24 at 21:14
add a comment |
2
$begingroup$
DegreeOverPrimeField(F)returns the extension degree.
$endgroup$
– ahulpke
Mar 24 at 21:14
2
2
$begingroup$
DegreeOverPrimeField(F) returns the extension degree.$endgroup$
– ahulpke
Mar 24 at 21:14
$begingroup$
DegreeOverPrimeField(F) returns the extension degree.$endgroup$
– ahulpke
Mar 24 at 21:14
add a comment |
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$begingroup$
DegreeOverPrimeField(F)returns the extension degree.$endgroup$
– ahulpke
Mar 24 at 21:14