Difference between revisions of "ApCoCoA-1:CharP.GBasisF2"
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| − | <command> | + | {{Version|1}} |
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<title>CharP.GBasisF2</title> | <title>CharP.GBasisF2</title> | ||
<short_description>Computing a Groebner Basis of a given ideal in <tt>F_2</tt>.</short_description> | <short_description>Computing a Groebner Basis of a given ideal in <tt>F_2</tt>.</short_description> | ||
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</description> | </description> | ||
<seealso> | <seealso> | ||
| − | <see>GBasis</see> | + | <see>ApCoCoA-1:GBasis|GBasis</see> |
| − | <see>Introduction to CoCoAServer</see> | + | <see>ApCoCoA-1:Introduction to CoCoAServer|Introduction to CoCoAServer</see> |
| − | <see>Introduction to Groebner Basis in CoCoA</see> | + | <see>ApCoCoA-1:Introduction to Groebner Basis in CoCoA|Introduction to Groebner Basis in CoCoA</see> |
| − | <see>CharP.GBasisF4</see> | + | <see>ApCoCoA-1:CharP.GBasisF4|CharP.GBasisF4</see> |
| − | <see>CharP.GBasisF8</see> | + | <see>ApCoCoA-1:CharP.GBasisF8|CharP.GBasisF8</see> |
| − | <see>CharP.GBasisF16</see> | + | <see>ApCoCoA-1:CharP.GBasisF16|CharP.GBasisF16</see> |
| − | <see>CharP.GBasisF32</see> | + | <see>ApCoCoA-1:CharP.GBasisF32|CharP.GBasisF32</see> |
| − | <see>CharP.GBasisF64</see> | + | <see>ApCoCoA-1:CharP.GBasisF64|CharP.GBasisF64</see> |
| − | <see>CharP.GBasisF128</see> | + | <see>ApCoCoA-1:CharP.GBasisF128|CharP.GBasisF128</see> |
| − | <see>CharP.GBasisF256</see> | + | <see>ApCoCoA-1:CharP.GBasisF256|CharP.GBasisF256</see> |
| − | <see>CharP.GBasisF512</see> | + | <see>ApCoCoA-1:CharP.GBasisF512|CharP.GBasisF512</see> |
| − | <see>CharP.GBasisF1024</see> | + | <see>ApCoCoA-1:CharP.GBasisF1024|CharP.GBasisF1024</see> |
| − | <see>CharP.GBasisF2048</see> | + | <see>ApCoCoA-1:CharP.GBasisF2048|CharP.GBasisF2048</see> |
| − | <see>CharP.GBasisModSquares</see> | + | <see>ApCoCoA-1:CharP.GBasisModSquares|CharP.GBasisModSquares</see> |
| − | <see>Representation of finite fields</see> | + | <see>ApCoCoA-1:Representation of finite fields|Representation of finite fields</see> |
</seealso> | </seealso> | ||
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<key>GBasisF2</key> | <key>GBasisF2</key> | ||
<key>finite field</key> | <key>finite field</key> | ||
| − | <wiki-category> | + | <wiki-category>ApCoCoA-1:Package_charP</wiki-category> |
</command> | </command> | ||
Latest revision as of 09:54, 7 October 2020
| This article is about a function from ApCoCoA-1. |
CharP.GBasisF2
Computing a Groebner Basis of a given ideal in F_2.
Syntax
CharP.GBasisF2(Ideal:IDEAL):LIST
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
This command computes a Groebner Basis in the field F_2 = Z/(2).
@param Ideal An Ideal in a Ring over Z, where the elements 0,1 represent the elements of the field.
@return The Groebner Basis of the given ideal.
Example
Use R::=QQ[x,y,z]; I:=Ideal(x-y^2,x^2+xy,y^3); GBasis(I); [x^2 + xy, -y^2 + x, -xy] ------------------------------- Use Z::=ZZ[x,y,z]; -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong ------------------------------- I:=Ideal(x-y^2,x^2+xy,y^3); CharP.GBasisF2(I); -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong -- CoCoAServer: computing Cpu Time = 0 ------------------------------- [y^2 + x, x^2, xy] -------------------------------
See also
Introduction to Groebner Basis in CoCoA
Representation of finite fields
