mapping elliptic curve on Matlab and writing points in form of a table of m*n order

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Muhammad Sohail Abid 2018-7-3

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https://ww2.mathworks.cn/matlabcentral/answers/408489-mapping-elliptic-curve-on-matlab-and-writing-points-in-form-of-a-table-of-m-n-order

评论： Muhammad Sohail Abid 2018-7-3

I am trying to map elliptic curve on Matlab using the following code and I get all the points issue is that firstly I have to neglect all repeating points of x-values and then I have to write points in form of a 2D table of 256 rows and 482 columns and we have to fill the remaining entries to pad up with zero

disp('y^2 = x^3 + 5376x + 2438 mod 123457')
a=0:123456
left_side = mod(a.^2,123457)
right_side = mod(a.^3+5376*a+2438,123457)
points = [];
for i = 1:length(right_side)
    I = find(left_side == right_side(i));
    for j=1:length(I)
        points = [points;a(i),a(I(j))];
    end
end
 plot(points(:,1),points(:,2),'ro')
 set(gca,'XTick',0:1:123456)
 set(gca,'YTick',0:1:123456)
 grid on;

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Muhammad Sohail Abid 2018-7-3

在 MATLAB Online 中打开

disp('y^2 = x^3 + 5376x + 2438 mod 123457')
a=0:123456
left_side = mod(a.^2,123457)
right_side = mod(a.^3+5376*a+2438,123457)
points = [];
for i = 1:length(right_side)
  I = find(left_side == right_side(i));
  for j=1:length(I)
      points = [points;a(i),a(I(j))];
  end
end
plot(points(:,1),points(:,2),'ro')
set(gca,'XTick',0:1:123456)
set(gca,'YTick',0:1:123456)
grid on;