Re: ECC Result Verification
From: Phil Carmody (thefatphil_demunged_at_yahoo.co.uk)
Date: 11/02/04
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Date: 02 Nov 2004 11:14:32 +0200
"flip" <flip_alpha@safebunch.com> writes:
> Hi All,
>
> can someone please verify these results?
>
> E: y^2 = x^3 + 1 x + 1 (mod 23)
> Choose the point {0, 1} as a generator point and get:
...
Looks good:
(11:09) gp > e=ellinit([0,0,0,1,1]);
(11:09) gp > z=[0,Mod(1,23)];
(11:09) gp > for(i=0,28,print1(" ",lift(ellpow(e,z,i))))
[0] [0, 1] [6, 19] [3, 13] [13, 16] [18, 3] [7, 11] [11, 3] [5, 19] [19, 18] [12, 4] [1, 16] [17, 20] [9, 16] [4, 0] [9, 7] [17, 3] [1, 7] [12, 19] [19, 5] [5, 4] [11, 20] [7, 12] [18, 20] [13, 7] [3, 10] [6, 4] [0, 22] [0]
Phil
-- They no longer do my traditional winks tournament lunch - liver and bacon. It's just what you need during a winks tournament lunchtime to replace lost ... liver. -- Anthony Horton, 2004/08/27 at the Cambridge 'Long Vac.'
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