Matlab code to Determine the error correcting capability of given (n,k) code using hamming bound

Code;

clc;

clear all;

close all;

n=input('enter the code bits : n :');

k=input('enter the data bits : k :');

m=n-k; disp(m);

z=2^m; disp (z);

i=0;

for j=0:1:n

    sum=0;

    for i=0:1:j

           c=factorial(n)/(factorial(n-i)*factorial(i));

           sum=sum+c;

    end

    if   sum >=z

        j=j-1;

        sum=sum-c;

        break;

    end  

end

ans=sprintf('(%d,%d) can correct all combinations of %d errors and it can also correct %d combinations of %d errors' , n,k,j,z-sum,j+1);

disp(ans);

Output:

enter the code bits : n :7

enter the data bits : k :4

(7,4) can correct all combinations of 0 errors and it can also correct 7 combinations of 1 errors