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2021-01-25 18:04:36 +0100 | commented answer | Arithmetic operation is not working in finite field GF(4091^2)? @ tmonteil What is the solution then? |

2021-01-25 14:31:08 +0100 | asked a question | Arithmetic operation is not working in finite field GF(4091^2)? I am facing problem during arithmetic operation in $ GF(4091^2)$. But everything working fine in $ GF(13^2)$ as How can I fix this? |

2021-01-25 13:35:17 +0100 | asked a question | How to do arithmetic operation of elements in finite field? Let us consider an example: We consider two elements We have In reverse way we can get the corresponding integers as : That is, How can I do the same for the field |

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2021-01-25 03:23:09 +0100 | asked a question | Solve system of equations in a finite field I would like to generate and solve a system of equations in both GF(251) and GF(13^2) using the same function. Let us illustrate it in $GF(251)~ [or~ GF(13^2)]$,
$a_0+a_1.3++a_2.3^2=\phi(2)=2*x + 9$ How can I do the above using the same function for the both filed $GF(251)$ and $GF(13^2)$? |

2021-01-20 10:52:20 +0100 | asked a question | How to index all elements of a finite field? I would like to assign an integer corresponding to element of a finite field $GF(p^m)$, where $p^m\in[ {13^2,3^5, 131,137,139,251}] $ THe elements of GF(3^5) are 0,1,2,x,x^2 etc, we would like to indexing each element such as $0-->0, 1-->1,2-->2,x-->3, x^2--4$ etc. Not only that, if I call any element for example if I call x^2 it should rerun 4 and conversely. This process should work for the field order prime $p^m, m=1$ also. How can I do this? |

2020-11-30 10:58:41 +0100 | commented answer | Error: No module named 'sagenb' @ JohnPalmieri I did according to you, but shows access denied: Access to the file was deniedThe file at file:///home/mks/.local/share/jupyter/runtime/nbserver-9493-open.html is not readable. It may have been removed, moved, or file permissions may be preventing access. ERR_ACCESS_DENIED |

2020-11-30 04:22:19 +0100 | commented answer | Error: No module named 'sagenb' @ EmmanuelCharpentier BUt it does not solve my problem how to fix it? |

2020-11-29 12:24:26 +0100 | asked a question | Error: No module named 'sagenb' SageMath is not working on Ubuntu 20.04. When I am going to open notebook interface it show the following errors: How can I fix this? |

2020-10-30 12:02:16 +0100 | commented answer | Crash with polynomial over "Givaro" finite field @ tmonteil Is there any package instead of "givaro" which has no bug? |

2020-10-02 01:48:21 +0100 | asked a question | Crash with polynomial over "Givaro" finite field I would like to solve a system of equations in a finite field of prime order $p$ (illustrated below with $p = 229$). The system consists in four equations and has four unknowns $a_0$, $a_1$, $a_2$, $a_3$. It depends on parameters $\alpha_i$, $b_i$, all in $F(p)$, for $i = 1, 2, 3, 4$. The four equations are $$a_0 + a_1 \alpha_1 + a_2 \alpha_1^2 + a_3 \alpha_1^3 = b_1$$ $$a_0 + a_1 \alpha_2 + a_2 \alpha_2^2 + a_3 \alpha_2^3 = b_2$$ $$a_0 + a_1 \alpha_3 + a_2 \alpha_3^2 + a_3 \alpha_3^3 = b_3$$ $$a_0 + a_1 \alpha_4 + a_2 \alpha_4^2 + a_3 \alpha_4^3 = b_4$$ To do this I have tried with the following examples: But it shows erros: How can I fix this? |

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2020-09-19 12:34:11 +0100 | asked a question | How to express elements in a field of prime order and power of a prime order using the same function? When field size is of the form $p^m$, where $p$ is a prime and $m>1$ is a positive integer, there is no problem. For example It outputs : 4. But if we take field size is in the form $p^1$, then the above code does not working. For example It gives errors. How can I fix this using the same function in both the cases? |

2020-03-04 05:34:20 +0100 | asked a question | Wrong solution: system of equation by symbolic operator I would like to solve the following system of equations over $\mathrm{GF}(17^2)$: It produces : (16 |

2019-08-02 07:11:45 +0100 | received badge | ● Popular Question (source) |

2019-02-03 14:31:32 +0100 | asked a question | How to plot a diagram of a circle obtained by section of a sphere by a plane A circle is a section of a sphere by a plane, the equation \begin{equation} x^2+y^2+z^2+2gx+2fy+2hz+d=0\tag{1} \end{equation} and \begin{equation} ax+by+cz=p\tag{2} \end{equation} together represent a circle. How do I plot like these diagram for given $g,f,h,a,b,c,p$. How to input by using @interact for the parameter $a,b,c,p$ to move the plane through the sphere ? |

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