I need to determine what is the basis of a set of vectors that are in GF(2). The code is : C={00000000,11100010,10100101,01000111,01101001,10001011,11001100,00101000,11010001,00110011,01110100,10010110,10111000,01011010,00011101,11111111}
This vectors should be linearly independent. Any help? ! [Here's the original basis's code] (https://i.stack.imgur.com/3UBER.jpg)