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2012-06-17 19:29:35 +0100 | commented answer | How to construc a generator point of an elliptic curve? Thank you!!!!, i know another method but i think that hhis is better. |

2012-06-17 19:28:51 +0100 | marked best answer | How to construc a generator point of an elliptic curve? |

2012-06-17 01:43:54 +0100 | asked a question | How to construc a generator point of an elliptic curve? I have taht elliptic curve defined in sage: E1=EllipticCurve(GF(8209),[1,0,0,333,6166]) How can i construct a generator point of an elliptic curve? Thank you very much. |

2012-06-17 00:43:04 +0100 | asked a question | How can I find an irreductible polinomial? Hi friends, I just working with elliptic curves with this data: But when I try that, SAGE says me that I need a irrecductible polinomal. Can i can culculate with SAGE?, Any command? |

2012-06-16 19:36:08 +0100 | answered a question | Problems with points and list in SAGE Using append function. Thanks for the viewrs. |

2012-06-16 18:56:04 +0100 | asked a question | Problems with points and list in SAGE Hello friends, I have four points over an elliptic curve and i have to construct a sequence extracting coordenates, How can do that? Points: (6348039923579989430201202900193104 : 8938521987039088802825634947748141 : 1) (8643096444775125481487734216988008 : 6864928103481412954792333412052240 : 1) (973908846866146057275353494784191 : 9861631015033931062261694737198367 : 1) (8383448090631515106692264575702532 : 9578344834536210940942664141057339 : 1) Secuence: seq1=[6348039923579989430201202900193104,8938521987039088802825634947748141, 8643096444775125481487734216988008, 6864928103481412954792333412052240, 973908846866146057275353494784191, 9861631015033931062261694737198367, 8383448090631515106692264575702532, 9578344834536210940942664141057339] Thank you very much. |

2012-06-16 18:33:58 +0100 | marked best answer | Problem with the lift_x fuction in SAGE Reading through a Python tutorial would be helpful, I think. You could catch the ValueError using a gives If you simply want a random point on the curve and you don't care about it being the 'next' one, you can use |

2012-06-16 18:33:51 +0100 | commented answer | Problem with the lift_x fuction in SAGE Thank you very much. Well explained. You are a genius. :) |

2012-06-16 17:59:54 +0100 | asked a question | Problem with the lift_x fuction in SAGE Hello, When I work with an elliptic curve and i apply E.lift_x(1407284663933896236729058440000) i obtain the point (1407284663933896236729058440000 : 4215171991512676773155222850458328 : 1) and works fine. My problem is when i have a value of x that don't in the curve and aplly E.lift_x(x) and it's generate a How can i debug that? Another fuction like lift_x? Thank very much. I wait yor answers. |

2012-06-16 10:39:57 +0100 | received badge | ● Scholar (source) |

2012-06-16 10:39:57 +0100 | marked best answer | Problems with SAGE operations The following example (with your curve but changed Pa,u1,u2,r ) shows that "SAGE operations" are OK |

2012-06-16 10:39:54 +0100 | received badge | ● Supporter (source) |

2012-06-16 10:39:46 +0100 | commented answer | Problems with SAGE operations Thank you very much. You are a great SAGE programmer!!! |

2012-06-15 19:55:16 +0100 | asked a question | Problems with SAGE operations I have defined in SAGE one Elliptic curve, two points: P and P_a and theree integers u1,u2 and n. p=(10^34+1000).next_prime() E=EllipticCurve(GF(p),[0,57]); P= E(9128294291047160967288425267449898,3015386503039089432053383415473448) P_a= E(4259903772238643554901244696272038,3809941931717614434052814194698091) u1=32670546509638242125495495 u2=10120953885076574089031876 n=74226928212769886074449493
v = mod(Q[0],n) print v Now i try to calculate the coordinates of a new point Q, and modular n of the first, called v.
v = mod(Q[0],n] The result that i obtained is 49823540439822066091848818, but desired is 2715371088067745779674921 Where is the mistake? I'm going crazy because i don't understand it. Can you help me? Thank you very much.!!!!!!! |

2012-06-15 17:44:29 +0100 | asked a question | How can I define this elliptic curve in SAGE? Hello, I have this eeliptic curve y^2+xy = x^3+33x+6166 over Fp, p=8209. How can i define that curve using SAGE? F=GF(8209); E=EllipticCurve(F,[????????]); Thank you very much!!!! |

2012-06-15 11:15:24 +0100 | answered a question | Calculate the y coordinate of a point of a elliptic curve with SAGE? sage: E.lift_x(1407284663933896236729058440000) (1407284663933896236729058440000 : 4215171991512676773155222850458328 : 1) |

2012-06-15 11:13:19 +0100 | received badge | ● Editor (source) |

2012-06-15 10:25:19 +0100 | asked a question | Calculate the y coordinate of a point of a elliptic curve with SAGE? I defined with SAGE: My problem is: I know the x coordinate of a P of the Elliptic Curve 1407284663933896236729058440000 How can I calculate the y coordinate with SAGE?. Any fuction? |

2012-06-15 10:22:38 +0100 | asked a question | ECDSA verification signature with SAGE In the ECDSA algorithm (verification signature) you have to calculate a new point using the next formula: (x0,y0) = u1*P+u2*P_a How can I calculate the coordenates of this new point?, i try that sentence in SAGE but it doesn't work. X = (Integer(u1)*P)+(Integer(u2)*P_a) Can you help me?. Thank you very much. You can download code and try to execute in SAGE here: https://dl.dropbox.com/u/39374382/que... |

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