# -*- coding: utf-8 -*- """Learned-key counterparts of the structured-key result stages. Keyed masking is realized two ways, with structured Walsh-Hadamard keys and with keys learned in R^L. The two differ in key space, so the paper reports both wherever a figure or table carries a keyed-masking result. This script produces the learned side of the key-length sweep, the jamming sweep, the known-plaintext attack, the scheme comparison and the refresh, writing files named *_learned.csv next to the structured ones. Every evaluation mirrors its structured counterpart exactly: same SNR, same frame counts, same seeds, same evaluators. Only the key family differs. The learned keys are the regularized ones of Section V-C, not the unpenalized ones: see learned_model below for why. """ from __future__ import annotations import math from pathlib import Path import torch import exp_kpa import exp_refresh from exp_full import (MAIN_D, eval_ser_eve, eval_ser_jam, eve_wrong_mask, get_model_reg, mean_abs_xcorr, oma_ser_keylen) from sse_lib import DATA, DEVICE, eval_ser_sse, write_csv SEED = 1 def learned_model(d=MAIN_D, P=4, vu=16, U=4, iters=4000, seed=SEED): """The learned counterpart of main_model: same everything, keys free. The keys are trained under the two penalties of the regularized loss rather than under the cross-entropy alone. Cross-entropy on its own has an attractor at disjoint sparse supports, which is an orthogonal slot allocation: the keys it reaches carry 99 percent of their energy on about six of the L entries, so a digit is decided over a sixth of its period and the key set is a choice of support rather than a dense direction in R^L. The penalties are the design of Section V-C and hold that drift back, which is the realization the paper claims for the learned family. """ return get_model_reg(P=P, vu=vu, d=d, U=U, iters=iters, seed=seed) def keylen(): """Fig. 3's learned curve.""" print("[learned] key length ...") rows = [] for d in [32, 48, 64, 80, 96, 128, 192, 256]: m = learned_model(d=d) lg = eval_ser_sse(m, [10.0], frames=500_000)[0] ev = sum(eval_ser_eve( m, eve_wrong_mask(m.users, m.L, seed=20260813 + 101 * k).to(DEVICE), [10.0], frames=500_000 // 8)[0] for k in range(8)) / 8.0 rows.append((m.L, d, lg, ev, mean_abs_xcorr(m.masks().detach()), oma_ser_keylen(m.L, 10.0))) print(" L=%3d legit %.4f eve %.4f" % (m.L, lg, ev)) write_csv(DATA / "sec_keylen_learned.csv", ["L", "d", "legit_ser", "eve_ser", "mask_xcorr", "oma"], rows) def jamming(): """Fig. 4's learned curves.""" print("[learned] jamming ...") m = learned_model() jsr = [float(v) for v in range(-10, 21, 2)] # the grid Fig. 4's other curves use blind = eval_ser_jam(m, 10.0, jsr, frames=500_000, mode="blind", target=0) matched = eval_ser_jam(m, 10.0, jsr, frames=500_000, mode="matched", target=0) nojam = eval_ser_jam(m, 10.0, [-40.0], frames=500_000, mode="blind", target=0)[0] write_csv(DATA / "sec_jam_learned.csv", ["jsr_db", "blind", "matched", "nojam"], [(j, blind[i], matched[i], nojam) for i, j in enumerate(jsr)]) print(" blind :", ["%.3f" % v for v in blind]) def kpa(): """Fig. 7's learned curve. The attack is linear algebra on the key, so it applies to a real-valued key exactly as to a sign pattern.""" print("[learned] known plaintext ...") m = learned_model() m.eval() true_m = m.masks().detach() nmax = max(exp_kpa.NFRAMES) rows = [] for snr in exp_kpa.SNRS: acc = {n: [[], []] for n in exp_kpa.NFRAMES} for t in range(exp_kpa.TRIALS): gen = torch.Generator(device="cpu").manual_seed( exp_kpa.SEED + int(snr) + 1000 * t) digits, obs, h = exp_kpa.collect_known_plaintext(m, nmax, snr, gen) eval_seed = 777 + 31 * t + int(snr) for n in exp_kpa.NFRAMES: est = exp_kpa.solve_keys(m, digits[:n], obs[:n], h[:n]) acc[n][0].append(exp_kpa.key_correlation(est, true_m)) acc[n][1].append(eval_ser_eve(m, est.cpu(), [10.0], frames=exp_kpa.EVAL_FRAMES, seed=eval_seed)[0]) for n in exp_kpa.NFRAMES: ks, ss = acc[n] rows.append((snr, n, sum(ks) / len(ks), sum(ss) / len(ss))) print(" %4.0f dB done" % snr) write_csv(DATA / "kpa_learned.csv", ["snr_db", "n_frames", "kappa", "eve_ser"], rows) def refresh(): """Table VI's learned rows: the invariance refresh acts through eps^2 = 1 and a relabeling, so it is available to any real key.""" print("[learned] refresh ...") m = learned_model() W0, B0 = m.W.detach().clone(), m.B.detach().clone() base = eval_ser_sse(m, [10.0], frames=300_000)[0] out = [] for b in range(exp_refresh.BLOCKS): g = torch.Generator(device=DEVICE).manual_seed(5150 + b) xi = torch.randperm(m.L, generator=g, device=DEVICE) eps = torch.randint(2, (m.L,), generator=g, device=DEVICE) * 2.0 - 1.0 tau = torch.randperm(m.users, generator=g, device=DEVICE) with torch.no_grad(): m.W.copy_((W0[tau] * eps[None, :])[:, xi]) m.B.copy_(B0[:, xi]) lg = eval_ser_sse(m, [10.0], frames=300_000)[0] ev = eval_ser_eve(m, eve_wrong_mask(m.users, m.L, seed=20260813).to(DEVICE), [10.0], frames=300_000)[0] out.append((b, lg, ev)) with torch.no_grad(): m.W.copy_(W0); m.B.copy_(B0) write_csv(DATA / "refresh_learned.csv", ["block", "legit_ser", "eve_ser"], out) print(" unrefreshed %.5f refreshed %.5f..%.5f" % (base, min(r[1] for r in out), max(r[1] for r in out))) def compare(): """Table IV's learned row: the same four columns as the structured scheme, under the same jammer at a JSR of 0 dB.""" print("[learned] scheme comparison ...") m = learned_model() F = 300_000 # the table caption states a user-1 convention and every structured # row honours it, so this row uses the same evaluator rather than the # four-user average eval_ser_eve returns from exp_full import eval_scheme legit = eval_scheme(m, 10.0, F) out = eval_scheme(m, 10.0, F, rx_masks=eve_wrong_mask(m.users, m.L, seed=20260813).to(DEVICE)) ins = eval_scheme(m, 10.0, F, rx_masks=m.masks().detach().roll(1, 0)) jam = eval_ser_jam(m, 10.0, [0.0], frames=F, mode="blind", target=0)[0] write_csv(DATA / "compare_learned.csv", ["scheme", "legit_ser", "eve_out", "eve_in", "jam0_ser"], [("proposed_learned", legit, out, ins, jam)]) print(" legit %.4f out %.4f in %.4f jam %.4f" % (legit, out, ins, jam)) def main(): keylen() jamming() kpa() refresh() compare() print("[done] learned-key CSVs in", DATA) if __name__ == "__main__": main() def sens(): """Fig. 5's learned curve: eavesdropper SER against the fraction of the key the attacker holds. correlated_masks builds a substitute at a prescribed correlation to any real key, so the sweep applies to a learned key exactly as to a sign pattern.""" from exp_full import correlated_masks print("[learned] key sensitivity ...") m = learned_model() F, TR = 600_000, 12 true_m = m.masks().detach().cpu() gen = torch.Generator().manual_seed(31) fracs = [0.0, 0.2, 0.4, 0.6, 0.75, 0.85, 0.9, 0.92, 0.94, 0.955, 0.97, 0.985, 1.0] rows = [] for f in fracs: acc = [eval_ser_eve(m, correlated_masks(true_m, f, gen), [10.0], frames=F // TR, seed=777 + 17 * t)[0] for t in range(TR)] rows.append((f, sum(acc) / len(acc))) write_csv(DATA / "sec_sens_learned.csv", ["frac", "ser_mask"], rows) print(" f=0 %.4f f=1 %.4f" % (rows[0][1], rows[-1][1])) def brute(): """Fig. 6's learned curve. The best-of-K correlation is a property of the key space, which both realizations share at the same L, so only the sensitivity mapping differs and it is re-read from the learned sweep.""" import csv as _csv import numpy as np print("[learned] brute-force search ...") with open(DATA / "sec_sens_learned.csv") as f: cmp_rows = list(_csv.DictReader(f)) f_arr = np.array([float(r["frac"]) for r in cmp_rows]) mask_arr = np.array([float(r["ser_mask"]) for r in cmp_rows]) L = MAIN_D // 4 ks = [1, 3, 10, 30, 100, 300, 1_000, 3_000, 10_000, 30_000, 65_536, 100_000, 300_000, 1_000_000] rng = np.random.default_rng(2026) rows = [] for K in ks: best = np.sqrt(rng.beta(0.5, (L - 1) / 2.0, size=(400, K)).max(1)) rows.append((K, float(np.mean(np.interp(best, f_arr, mask_arr))))) write_csv(DATA / "sec_brute_learned.csv", ["K", "ser_mask"], rows) print(" K=1e6 %.4f" % rows[-1][1]) def real(): """Fig. 8's learned curves. exp_real_sec writes fixed file names, so the structured artifacts are held aside, the run is repeated with the learned model, its output is copied to *_learned names, and the originals are put back. A failure anywhere restores them. """ import shutil import exp_real_sec as R print("[learned] real token streams ...") names = ("real_sec_ter.csv", "real_sec_stats.json") saved = {n: (DATA / n).read_bytes() for n in names if (DATA / n).exists()} orig = R.main_model try: R.main_model = lambda **kw: learned_model( d=kw.get("d", MAIN_D), P=kw.get("P", 4), vu=kw.get("vu", 16), U=kw.get("U", 4)) R.main() for n in names: if (DATA / n).exists(): shutil.copyfile(DATA / n, DATA / n.replace(".", "_learned.", 1)) finally: R.main_model = orig for n, blob in saved.items(): (DATA / n).write_bytes(blob) print(" learned artifacts written, structured ones restored") def keylen_perm(): """Fig. 3's permutation-key curves. The permutation scheme keeps the masks public and hides the frame order instead, so its legitimate receiver inverts the permutation and decodes as the public-mask receiver does, while its eavesdropper holds the public masks but not the order. Both are swept over the same key lengths as the structured family so the figure carries the comparison scheme at every point rather than only at L = 64. """ import torch from exp_full import (eval_scheme, eval_scheme_permuted_eve, main_model) print("[learned] key length, permutation key ...") rows = [] for d in [32, 48, 64, 80, 96, 128, 192, 256]: m = main_model(d=d) gp = torch.Generator().manual_seed(11) perms = torch.randperm(d, generator=gp)[None].repeat(m.users, 1) lg = eval_scheme(m, 10.0, 500_000, perms=perms) ev = eval_scheme_permuted_eve(m, 10.0, 500_000, perms) rows.append((m.L, d, lg, ev)) print(" L=%3d legit %.4f eve %.4f" % (m.L, lg, ev)) write_csv(DATA / "sec_keylen_perm.csv", ["L", "d", "legit_ser", "eve_ser"], rows)