From fd63d0591be6f9a81e2ec7377c618d03f9cdaa66 Mon Sep 17 00:00:00 2001 From: Nicholas Assaderaghi Date: Fri, 15 May 2026 09:27:49 +0000 Subject: [PATCH 1/6] challenge 'file' --- picoctf/crypto/Power Analysis: Warmup/description.md | 5 +++++ 1 file changed, 5 insertions(+) create mode 100644 picoctf/crypto/Power Analysis: Warmup/description.md diff --git a/picoctf/crypto/Power Analysis: Warmup/description.md b/picoctf/crypto/Power Analysis: Warmup/description.md new file mode 100644 index 00000000..34153b6b --- /dev/null +++ b/picoctf/crypto/Power Analysis: Warmup/description.md @@ -0,0 +1,5 @@ +# PowerAnalysis: Part 1 + +This embedded system allows you to measure the power consumption of the CPU while it is running an AES encryption algorithm. Use this information to leak the key via dynamic power analysis. + +Access the running server with `nc saturn.picoctf.net port`. It will encrypt any buffer you provide it, and output a trace of the CPU's power consumption during the operation. The flag will be of the format picoCTF{\} where \ is 32 lowercase hex characters comprising the 16-byte encryption key being used by the program. From b4cd3334158571408343ea776d685129d0e9bd9e Mon Sep 17 00:00:00 2001 From: Nicholas Assaderaghi Date: Fri, 15 May 2026 11:51:36 +0000 Subject: [PATCH 2/6] feat: successful solve --- .../description.md | 0 picoctf/crypto/PowerAnalysis: Part 1/solve.py | 293 ++++++++++++++++++ 2 files changed, 293 insertions(+) rename picoctf/crypto/{Power Analysis: Warmup => PowerAnalysis: Part 1}/description.md (100%) create mode 100644 picoctf/crypto/PowerAnalysis: Part 1/solve.py diff --git a/picoctf/crypto/Power Analysis: Warmup/description.md b/picoctf/crypto/PowerAnalysis: Part 1/description.md similarity index 100% rename from picoctf/crypto/Power Analysis: Warmup/description.md rename to picoctf/crypto/PowerAnalysis: Part 1/description.md diff --git a/picoctf/crypto/PowerAnalysis: Part 1/solve.py b/picoctf/crypto/PowerAnalysis: Part 1/solve.py new file mode 100644 index 00000000..b1164730 --- /dev/null +++ b/picoctf/crypto/PowerAnalysis: Part 1/solve.py @@ -0,0 +1,293 @@ +#!/usr/bin/env python3 +import argparse +import socket +import ast +import os +import time +import numpy as np +from concurrent.futures import ThreadPoolExecutor, as_completed +from tqdm import tqdm + +HOST = "saturn.picoctf.net" + +SBOX = np.array([ + 0x63,0x7c,0x77,0x7b,0xf2,0x6b,0x6f,0xc5,0x30,0x01,0x67,0x2b,0xfe,0xd7,0xab,0x76, + 0xca,0x82,0xc9,0x7d,0xfa,0x59,0x47,0xf0,0xad,0xd4,0xa2,0xaf,0x9c,0xa4,0x72,0xc0, + 0xb7,0xfd,0x93,0x26,0x36,0x3f,0xf7,0xcc,0x34,0xa5,0xe5,0xf1,0x71,0xd8,0x31,0x15, + 0x04,0xc7,0x23,0xc3,0x18,0x96,0x05,0x9a,0x07,0x12,0x80,0xe2,0xeb,0x27,0xb2,0x75, + 0x09,0x83,0x2c,0x1a,0x1b,0x6e,0x5a,0xa0,0x52,0x3b,0xd6,0xb3,0x29,0xe3,0x2f,0x84, + 0x53,0xd1,0x00,0xed,0x20,0xfc,0xb1,0x5b,0x6a,0xcb,0xbe,0x39,0x4a,0x4c,0x58,0xcf, + 0xd0,0xef,0xaa,0xfb,0x43,0x4d,0x33,0x85,0x45,0xf9,0x02,0x7f,0x50,0x3c,0x9f,0xa8, + 0x51,0xa3,0x40,0x8f,0x92,0x9d,0x38,0xf5,0xbc,0xb6,0xda,0x21,0x10,0xff,0xf3,0xd2, + 0xcd,0x0c,0x13,0xec,0x5f,0x97,0x44,0x17,0xc4,0xa7,0x7e,0x3d,0x64,0x5d,0x19,0x73, + 0x60,0x81,0x4f,0xdc,0x22,0x2a,0x90,0x88,0x46,0xee,0xb8,0x14,0xde,0x5e,0x0b,0xdb, + 0xe0,0x32,0x3a,0x0a,0x49,0x06,0x24,0x5c,0xc2,0xd3,0xac,0x62,0x91,0x95,0xe4,0x79, + 0xe7,0xc8,0x37,0x6d,0x8d,0xd5,0x4e,0xa9,0x6c,0x56,0xf4,0xea,0x65,0x7a,0xae,0x08, + 0xba,0x78,0x25,0x2e,0x1c,0xa6,0xb4,0xc6,0xe8,0xdd,0x74,0x1f,0x4b,0xbd,0x8b,0x8a, + 0x70,0x3e,0xb5,0x66,0x48,0x03,0xf6,0x0e,0x61,0x35,0x57,0xb9,0x86,0xc1,0x1d,0x9e, + 0xe1,0xf8,0x98,0x11,0x69,0xd9,0x8e,0x94,0x9b,0x1e,0x87,0xe9,0xce,0x55,0x28,0xdf, + 0x8c,0xa1,0x89,0x0d,0xbf,0xe6,0x42,0x68,0x41,0x99,0x2d,0x0f,0xb0,0x54,0xbb,0x16, +], dtype=np.uint8) + +HW = np.array([bin(i).count('1') for i in range(256)], dtype=np.uint8) + + +def recv_until(sock, marker): + buf = b"" + while marker not in buf: + chunk = sock.recv(65536) + if not chunk: + raise ConnectionError("Server closed connection unexpectedly") + buf += chunk + return buf + + +def collect_one_trace(port, max_retries=8): + for attempt in range(max_retries): + try: + with socket.socket(socket.AF_INET, socket.SOCK_STREAM) as sock: + sock.connect((HOST, port)) + sock.settimeout(15) + recv_until(sock, b"hex:") + pt = os.urandom(16) + sock.sendall(pt.hex().encode() + b"\n") + response = recv_until(sock, b"]") + start = response.index(b"[") + end = response.index(b"]") + 1 + return pt, ast.literal_eval(response[start:end].decode()) + except Exception: + if attempt == max_retries - 1: + raise + time.sleep(0.5 * (attempt + 1)) + + +def cpa_attack(plaintexts, traces, verbose=False): + n = len(plaintexts) + pt_arr = np.frombuffer(b"".join(plaintexts), dtype=np.uint8).reshape(n, 16) + + traces_c = traces - traces.mean(axis=0) + traces_std = traces_c.std(axis=0) + + key = [] + byte_iter = range(16) + for byte_pos in byte_iter: + xor = pt_arr[:, byte_pos, None] ^ np.arange(256, dtype=np.uint8) # (n, 256) + hyp = HW[SBOX[xor]].astype(float) + hyp_c = hyp - hyp.mean(axis=0) + corr = (hyp_c.T @ traces_c) / (n * np.outer(hyp_c.std(axis=0), traces_std) + 1e-12) + peak = np.abs(corr).max(axis=1) + best_k = int(peak.argmax()) + key.append(best_k) + if verbose: + tqdm.write(f" byte {byte_pos:2d}: 0x{best_k:02x} (peak |r| = {peak[best_k]:.4f})") + + return bytes(key) + + +def collect_all_traces(port, n=300, workers=3, initial=None): + all_pts, all_traces = [], [] + if initial is not None: + all_pts.append(initial[0]) + all_traces.append(initial[1]) + + remaining = n - len(all_pts) + + with tqdm(total=n, initial=len(all_pts), desc="Collecting traces", unit="trace", position=0) as pbar, \ + tqdm(bar_format=" Est. AES key: {desc}", desc="[collecting first trace...]", + position=1, leave=True) as flag_bar: + + with ThreadPoolExecutor(max_workers=workers) as ex: + futures = [ex.submit(collect_one_trace, port) for _ in range(remaining)] + for f in as_completed(futures): + try: + pt, trace = f.result() + except Exception as e: + tqdm.write(f" [warn] trace failed: {e}") + continue + all_pts.append(pt) + all_traces.append(trace) + pbar.update(1) + est = cpa_attack(all_pts, np.array(all_traces, dtype=float)) + flag_bar.set_description_str(f"{est.hex()}") + + print() + return all_pts, np.array(all_traces, dtype=float) + + +def compute_correlations(plaintexts, traces): + """Return correlation tensor of shape (16, 256, n_samples).""" + n = len(plaintexts) + pt_arr = np.frombuffer(b"".join(plaintexts), dtype=np.uint8).reshape(n, 16) + traces_c = traces - traces.mean(axis=0) + traces_std = traces_c.std(axis=0) + corr = np.zeros((16, 256, traces.shape[1])) + for byte_pos in range(16): + xor = pt_arr[:, byte_pos, None] ^ np.arange(256, dtype=np.uint8) + hyp = HW[SBOX[xor]].astype(float) + hyp_c = hyp - hyp.mean(axis=0) + corr[byte_pos] = (hyp_c.T @ traces_c) / ( + n * np.outer(hyp_c.std(axis=0), traces_std) + 1e-12 + ) + return corr + + +def save_plots(plaintexts, traces, key, out_dir="plots"): + import matplotlib + matplotlib.use("Agg") + import matplotlib.pyplot as plt + + os.makedirs(out_dir, exist_ok=True) + n_samples = traces.shape[1] + corr_abs = np.abs(compute_correlations(plaintexts, traces)) # (16, 256, n_samples) + + # 1. Correlation over time — winning key (red) vs range of all others (grey band) + fig, axes = plt.subplots(4, 4, figsize=(20, 12), sharex=True) + for byte_pos, ax in enumerate(axes.flat): + best_k = key[byte_pos] + others = np.delete(corr_abs[byte_pos], best_k, axis=0) + ax.fill_between(range(n_samples), others.min(axis=0), others.max(axis=0), + color="lightgrey", label="other candidates") + ax.plot(corr_abs[byte_pos, best_k], color="red", linewidth=0.8, + label=f"0x{best_k:02x}") + ax.set_title(f"Byte {byte_pos}", fontsize=8) + ax.legend(fontsize=6, loc="upper right") + ax.set_xlabel("Sample index", fontsize=6) + ax.set_ylabel("Pearson |r|", fontsize=6) + ax.set_xticks(range(0, n_samples, 500)) + ax.tick_params(labelsize=5, labelbottom=True) + fig.suptitle("Correlation over time (red = recovered key byte, grey band = range of all other candidates)") + fig.tight_layout() + path = os.path.join(out_dir, "correlation_time.png") + fig.savefig(path, dpi=150) + plt.close(fig) + print(f" Saved: {path}") + + # 2. Peak correlation per candidate — bar chart per byte + fig, axes = plt.subplots(4, 4, figsize=(20, 12)) + for byte_pos, ax in enumerate(axes.flat): + best_k = key[byte_pos] + peaks = corr_abs[byte_pos].max(axis=1) + ax.bar(range(256), peaks, color="steelblue", width=1.0) + ax.annotate(f"{peaks[best_k]:.3f}", xy=(best_k, peaks[best_k]), + xytext=(0, 4), textcoords="offset points", + ha="center", va="bottom", fontsize=6, clip_on=False) + ax.set_title(f"Byte {byte_pos}", fontsize=8) + ax.set_xlabel("Key candidate (0–255)", fontsize=6) + ax.set_ylabel("Peak Pearson |r|", fontsize=6) + ax.set_xlim(0, 255) + ax.set_ylim(0, 0.7) + ax.tick_params(labelsize=5) + fig.suptitle("Peak correlation per key candidate (annotated bar = recovered byte)") + fig.tight_layout() + path = os.path.join(out_dir, "peak_correlation.png") + fig.savefig(path, dpi=150) + plt.close(fig) + print(f" Saved: {path}") + + + +def save_gif(plaintexts, traces, key, out_dir="plots", step=5): + import matplotlib + matplotlib.use("Agg") + import matplotlib.pyplot as plt + from matplotlib.animation import FuncAnimation, PillowWriter + + os.makedirs(out_dir, exist_ok=True) + n = len(plaintexts) + frame_sizes = list(range(step, n + 1, step)) + if frame_sizes[-1] != n: + frame_sizes.append(n) + + frames_peaks = [] + for k in tqdm(frame_sizes, desc=" Precomputing frames"): + corr_abs = np.abs(compute_correlations(plaintexts[:k], traces[:k])) + frames_peaks.append(corr_abs.max(axis=2)) + + fig, axes = plt.subplots(4, 4, figsize=(20, 12)) + title = fig.suptitle("") + bars_list, ann_list = [], [] + for byte_pos, ax in enumerate(axes.flat): + bars = ax.bar(range(256), np.zeros(256), color="steelblue", width=1.0) + ann = ax.annotate("", xy=(key[byte_pos], 0), xytext=(0, 4), + textcoords="offset points", ha="center", va="bottom", + fontsize=6, clip_on=False) + ax.set_title(f"Byte {byte_pos}", fontsize=8) + ax.set_xlabel("Key candidate (0–255)", fontsize=6) + ax.set_ylabel("Peak Pearson |r|", fontsize=6) + ax.set_xlim(0, 255) + ax.set_ylim(0, 0.7) + ax.tick_params(labelsize=5) + bars_list.append(bars) + ann_list.append(ann) + + def update(frame_idx): + peaks_all = frames_peaks[frame_idx] + for byte_pos in range(16): + peaks = peaks_all[byte_pos] + for bar, h in zip(bars_list[byte_pos], peaks): + bar.set_height(h) + best_k = key[byte_pos] + ann_list[byte_pos].xy = (best_k, peaks[best_k]) + ann_list[byte_pos].set_text(f"{peaks[best_k]:.3f}") + title.set_text(f"Peak correlation per key candidate — {frame_sizes[frame_idx]} traces") + + fig.tight_layout() + anim = FuncAnimation(fig, update, frames=len(frame_sizes), interval=150) + path = os.path.join(out_dir, "peak_correlation.gif") + with tqdm(total=len(frame_sizes), desc=" Rendering GIF") as pbar: + anim.save(path, writer=PillowWriter(fps=8), + progress_callback=lambda i, n: pbar.update(1)) + plt.close(fig) + print(f" Saved: {path}") + + +def main(): + parser = argparse.ArgumentParser(description="CPA attack on AES power traces") + parser.add_argument("port", type=int, nargs="?", help="Server port (not required with --load-traces)") + parser.add_argument("--traces", type=int, default=300, metavar="N", help="Number of traces to collect (default: 300)") + parser.add_argument("--workers", type=int, default=3, metavar="N", help="Parallel connections (default: 3)") + parser.add_argument("--plots", action="store_true", help="Save diagnostic plots to plots/") + parser.add_argument("--gif", action="store_true", help="Save animated GIF of CPA to plots/") + parser.add_argument("--save-traces", metavar="PATH", help="Save collected traces to a .npz file") + parser.add_argument("--load-traces", metavar="PATH", help="Load traces from a .npz file instead of collecting") + args = parser.parse_args() + + if args.load_traces: + print(f"Loading traces from {args.load_traces}...") + data = np.load(args.load_traces) + traces = data["traces"] + plaintexts = [bytes(row) for row in data["plaintexts"]] + print(f" Loaded {len(plaintexts)} traces × {traces.shape[1]} samples") + else: + if args.port is None: + parser.error("port is required unless --load-traces is specified") + try: + initial = collect_one_trace(port=args.port) + except Exception as e: + print(f"Server connection failed: {e}") + raise + print(f"Collecting {args.traces} traces using {args.workers} parallel connections...") + plaintexts, traces = collect_all_traces( + port=args.port, n=args.traces, workers=args.workers, initial=initial, + ) + + if args.save_traces: + pt_arr = np.frombuffer(b"".join(plaintexts), dtype=np.uint8).reshape(len(plaintexts), 16) + np.savez(args.save_traces, traces=traces, plaintexts=pt_arr) + print(f"Traces saved to {args.save_traces}.npz") + + print(f"Running CPA on {len(plaintexts)} traces × {traces.shape[1]} samples") + key = cpa_attack(plaintexts, traces, verbose=True) + print(f"Flag: picoCTF{{{key.hex()}}}") + + if args.plots: + print("Saving plots...") + save_plots(plaintexts, traces, key) + + if args.gif: + print("Saving GIF...") + save_gif(plaintexts, traces, key) + + +if __name__ == "__main__": + main() From 5bef6ebfdbbbf0fb3bde57bad22d8f245920b242 Mon Sep 17 00:00:00 2001 From: Nicholas Assaderaghi Date: Fri, 15 May 2026 11:51:54 +0000 Subject: [PATCH 3/6] traces collected --- picoctf/crypto/PowerAnalysis: Part 1/run.npz | Bin 0 -> 6403718 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 picoctf/crypto/PowerAnalysis: Part 1/run.npz diff --git a/picoctf/crypto/PowerAnalysis: Part 1/run.npz b/picoctf/crypto/PowerAnalysis: Part 1/run.npz new file mode 100644 index 0000000000000000000000000000000000000000..687238bf945cd301a55ce28643353b3f9385b519 GIT binary patch literal 6403718 zcmbT9NzyJ$a+aND#OMx~F$qQmW(x!+#0 zko|97aX& zB@X$=-csMieE1FGSo-np*Zm?d%xlMm-R8daGR1FQ8%Oimb6+6a6Xmu>YLCVc*ja;xpce2lB)TJpoShJXml3%b$67`XhMlGi_h9Z`d#J zQ@*vA@`OG6l=IBL2B&@F>~r>M`+)T;e)NZUxSsG9@M9eX_@{g^c7K+SMBgC(K|R=? zj$hbM`;q-XzO5tsk@bas>qmZ*x;*;bKg=)lmU@z>^16I0_5TsK7N7jO-zn8c-?X0X 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