Java Program to Perform Message Encoding Using Matrix Multiplication

This is a java program to encrypt a matrix using a key. The key is hidden and kept secret and inverse copy of the key is provided to the receiver, with which he/she can decrypt the matrix. The operation performed is matrix multiplication.

Here is the source code of the Java Program to Perform Encoding of a Message Using Matrix Multiplication. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

//This is sample program to encode any 2-dimensional matrix using matrix of elememts (i+j)

// for 2x2 encoding is done by multiplying given matrix with 0 1

//                                                           1 2

```
import java.util.Scanner;
```
```
 
```
```
public class Encoding_Matrix 
```
```
{
```

    public static void main(String args[])

```
    {
```
```
        int n;
```

        Scanner input = new Scanner(System.in);

        System.out.println("Enter the base of squared matrices");

```
        n = input.nextInt();
```
```
        int [][] a = new int[n][n];
```
```
        int [][] b = new int[n][n];
```
```
        int [][] c = new int[n][n];
```

        System.out.println("Enter the elements of matrix to be encoded: ");

```
        for(int i=0; i<n; i++)
```
```
            for(int j=0; j<n; j++)
```

                a[i][j] = input.nextInt();

```
 
```
```
        for(int i=0; i<n; i++)
```
```
            for(int j=0; j<n; j++)
```
```
                b[i][j] = i+j;
```
```
 
```
```
        for (int i = 0; i < n; i++) 
```
```
        {
```

            for (int j = 0; j < n; j++)

```
            {
```

                for (int k = 0; k < n; k++)

```
                {	 
```

                    c[i][j] = c[i][j] + a[i][k] * b[k][j];

```
                }
```
```
            }
```
```
        }
```
```
 
```

        System.out.println("The Encoded matrix is:");

```
        for(int i=0; i<n; i++)
```
```
        {
```
```
            for(int j=0; j<n; j++)
```
```
            {
```

                System.out.print(c[i][j] + " ");

```
            }
```
```
            System.out.println();
```
```
        }
```
```
        input.close();
```
```
    }
```
```
}
```

Output:

$ javac Encoding_Matrix.java
$ java Encoding_Matrix
 
Enter the base of squared matrices
2
Enter the elements of matrix to be encoded: 
1 5
3 9
The Encoded matrix is:
5 11 
9 21 
 
Enter the base of squared matrices
3
Enter the elements of matrix to be encoded: 
1 2 3
4 5 6
7 8 9
The Encoded matrix is:
8 14 20 
17 32 47 
26 50 74

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