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2018-01-13 12:03:30 +0100 | asked a question | implement given divisor as a specific hyperelliptic curve divisor I get the values of a divisor for a hyperelliptic curve from a research paper to ensure the divisor is correct and i want to use this divisor on calculation. so Idid the following: A Secured Cloud System using Hyper Elliptic Curve and in sage:
Does this mean the paper is wrong or I am at wrong. and if so, how can I modify my work? |

2018-01-10 00:19:24 +0100 | commented answer | Set a specific polynomial as a divisor of hyper elliptic curve I get the values from a research paper to ensure (u, v) are correct A Secured Cloud System using Hyper Elliptic Curve and in sage: p = 4112543547855339322343814790708185367671872426434747235319998473455582535888229747778325047393413053 K = GF(p) R.<x> = K[] f = x^5 + 7943193 u, v = x^2 + 22457213658579645161 "error" |

2018-01-08 00:07:00 +0100 | commented answer | Set a specific polynomial as a divisor of hyper elliptic curve In +JP+JQ = (x^2 + 18 can not use the same method u, v = x^2 + 18 u, v = x^2 + 18 Why? So this mean: 11 * (x^2 + 18 so which is reduced divisor, which i use in calculations |

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2018-01-06 21:49:39 +0100 | asked a question | Set a specific polynomial as a divisor of hyper elliptic curve If I have a hyperelliptic curve of genus 2 = y2+( x2+x)y = x5+ x3 +1 and reduced divisor for the curve in Mumford is (x2+18x, 17x+1). the two was given, I can construct the curve: as k. = GF(next_prime(2^160)); R.<x> = k[] C = HyperellipticCurve(x^5 + x^3 + 1, x^2+x) How to set (x2+18x, 17x+1) as it's divisor |

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2017-12-14 12:10:50 +0100 | asked a question | order of hyperelliptic curve divisor I create a hyperelliptic curve, over finite field Then, Jacobian of Hyperelliptic Curve then found two points and get there divisor and substract P1 = (514014285438369163567791 : 461217828857546813804480 : 1) P2 = (514014285438369163567791 : 461217828857546813804480 : 1) but when calculating the order of D (error)
How to calculate it's order(I need the order to use it as mod in further calculation) |

2017-05-05 02:29:35 +0100 | asked a question | I want to compare time of scalar multiplicity between ECC HECC with security level 80 |

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