Code:
#include <stdio.h>
#include <stdlib.h>
#define ROWS 102 //k
#define COLS 204 //n
int main()
{
//Assumptions, c = n-k . And k = n/2 ie c = k , ie half rate codes
int i,j,sum=0,k,r2,j2,i2;
int r,c,n;
int temp=0;
//Initiations. Comment this after troubleshoots
k = ROWS;
r = ROWS;
c = COLS;
n = COLS;
int msg[ROWS] = {0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1};
int H[ROWS][COLS] = 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int n1[COLS] = {0};
int count = 0;
printf("H Matrix is: \n\n");
for(i=0;i<ROWS;i++)
{
for(j=0;j<COLS;j++)
printf("%d",H[i][j]);
printf("\n");
}
for(i=0;i<COLS;i++)
{
for(j=0;j<ROWS;j++)
if(H[j][i] == 1)
count++;
n1[i] = count;
count = 0;
}
printf("\n1 count is Matrix is: \n\n");
for(i=0;i<COLS;i++)
printf("%d",n1[i]);
for(i=0;i<n-k;i++) // Limit of i loop restricted to make a square matrix in the second half, it n-k. The square I matrix will be of size n-k.
{
j=n-k+i; //Need to do the algorithm centred along the diagonal elements only. So no need of a j loop.
if(H[i][j] != 1) //Checking the diagonal element second half of the H matrix for 1. If not 1, then exchange the row to get 1.
{
for(i2=i+1;i2<r;i2++)
{
if(H[i2][j] == 1) //Finding a ROW with 1 in optimal position
{
for(j2=0;j2<c;j2++) //Row exchange between i and i2.
{
temp = H[i2][j2];
H[i2][j2] = H[i][j2];
H[i][j2] = temp;
}
break;
}
if(i2 == r-1)
printf("\nERROR..!! The whole of column %d has NO 1(at row %d)",j+1,i+1);
}
}
for(i2 = 0;i2<r;i2++) //Making the elements below and above the diagonal as '1'
{
if(i2 != i && H[i2][j] == 1) //Finding a ROW with 1 below or the diagonal 1, and NOT changing the diagonal 1.
{
for(j2=0;j2<c;j2++) //Row exchange between i and i2.
{
H[i2][j2] = abs(H[i][j2] - H[i2][j2]); //For modulo 2 subtraction in the row below
}
}
}
}
printf("\nH Matrix in different form is: \n\n");
for(i=0;i<ROWS;i++)
{
for(j=0;j<COLS;j++)
printf("%d",H[i][j]);
printf("\n");
}
//Building G. G is k x n sized. I inside G will be of size k x k (square it is)
printf("\n\nGenerator Matrix\n\n");
int G[ROWS][COLS] = {0};
for (i=0;i<k;i++) // I matrix generation
for(j=0;j<k;j++)
if(i == j)
G[i][j] = 1;
for(i=0;i<r;i++)
for(j=0;j<k;j++)
G[j][k+i] = H[i][j];
for(i=0;i<ROWS;i++)
{
for(j=0;j<COLS;j++)
printf("%d",G[i][j]);
printf("\n");
}
//Code word generation
int C[ROWS];
int s = 0;
for(j=0;j<n;j++)
{
for(i=0;i<k;i++)
{
s = s+msg[i]*G[i][j];
}
C[j] = s%2;
s = 0;
}
printf("\n\nCode Word is: \n\n");
for(i=0;i<n;i++)
printf("%d",C[i]);
}
In attached screenshot, If you notice, last 4 columns before it is not arranged. I need to make it IDENTITY Form.