The matrix G = [I_4 | A], where is G = [1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1| 0 1 1 1

Question

The matrix G = [I_4 | A], where is G = [1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1| 0 1 1 1 0 1 1 1 0 1 1 1] is a generator matrix in standard form for a [7, 4] binary code that we denote by H_3. By Theorem 1.2.1 a parity check matrix for H_3, is H = [A^T |I_3] = [0 1 1 1 1 0 1 1 1 1 0 1| 1 0 0 0 1 0 0 0 1]. This code is called the [7, 4] Hamming code. Find at least four information sets in the [7, 4] code H_3 from Example 1.2.3. Find at least one set of four coordinates that do not form an information set.

Explanation / Answer

import java.util.Scanner; class MatrixMultiplication { public static void main(String args[]) { int m, n, p, q, sum = 0, c, d, k; Scanner in = new Scanner(System.in); System.out.println("Enter the number of rows and columns of first matrix"); m = in.nextInt(); n = in.nextInt(); int first[][] = new int[m][n]; System.out.println("Enter the elements of first matrix"); for ( c = 0 ; c

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