1. How to perform XOR operation on 2 or more data packet arranged row-wise in the form of binary matrix using galois field. (2). Retrieve anyone packet again using combination

clc

clearvars;

N = 1*10;

%Generate random number for messages

rng('default')

randNum = randi([0 10],1,4) % 10 rows 4-colums

x1 = randi([0 1],N,1) % are column vector, data packets binary message data for the 4 users

x2 = randi([0 1],N,1)

x3 = randi([0 1],N,1);

x4 = randi([0 1],N,1);

x = [x1'; x2'; x3'; x4']% 4-row vector

C = gf(randNum,10)% coefficients

z = C(1:2)

x12 = [x1';x2']

X3 = gf(x3',10)

EnP12 = z * gf(x12,10)% encoded packet 12

EnP3 = C(3) * X3 % Coefficent with data packet 3

% EnP123 = C * gf(x,10)% encoded packet 123

EnP123 = EnP12+ EnP3

% objective is to generate different commbinations and then recursively apply XOR to retrieve.

%% Any help to proceed with. Thanks & Regards