def split_code_book(initial, k, e):
    temp_code_book = np.vstack((initial - e, initial + e))
    temp_code_book = np.vsplit(temp_code_book, 2)
    for i in range(k-2):
        for j in range(len(temp_code_book)):
            if j == 0:
                new_code_book = np.vstack((temp_code_book[j] - e, temp_code_book[j] + e))
            else:
                new_code_book = np.vstack((new_code_book, temp_code_book[j] - e, temp_code_book[j] + e))
        temp_code_book = np.vsplit(new_code_book, 2**(i+2))
    return(temp_code_book)