Security: Przestrzeń kluczy XOR Vernam

import matplotlib.pyplot as plt import numpy as np from matplotlib.ticker import FuncFormatter # 1) Prepare the data data_lengths = np.arange(1, 1001) # n = 1…1000 bytes exponents = 8 * data_lengths # y = 8*n # 2) Set up the formatter so ticks read as “2^{exponent}” def exp_formatter(val, pos): # only label integer ticks iv = int(val) if abs(val - iv) < 1e-6: return f"$2^{{{iv}}}$" else: return "" # 3) Plot fig, ax = plt.subplots(figsize=(10,6)) ax.plot(data_lengths, exponents, linewidth=2) ax.set_xlabel("Data Length (bytes)") ax.set_ylabel("Key-space = $2^{y}$ possibilities\n (shown: $y = 8\\times n$)") ax.set_title("Growth of XOR Key-space\n(1 byte ⇒ $2^8$ … 1000 bytes ⇒ $2^{8000}$)") ax.grid(True) # apply our custom formatter ax.yaxis.set_major_locator(plt.MaxNLocator(8)) # about 8 ticks ax.yaxis.set_major_formatter(FuncFormatter(exp_formatter)) plt.tight_layout() plt.show()