Audit round: fair OMA reference, dense grids, covariance-attack checks

Resource-match the OMA reference in the key-length sweep (oma_ser_keylen),
which gives it the L/16 combining gain the longer frame allows. The
proposal now passes a resource-matched OMA by 1.27x at L=64 rather than
the 4.3x reported against a fixed-d reference.

Densify the JSR, sensitivity, and brute-force grids so the curves are
smooth, give the index cipher its channel floor instead of error-free
reception, and add the permutation-key known-plaintext attack
(exp_permkpa) so Fig. 7 carries a conventional linear scheme.

Add check_cov_attack.py and check_cov_ceiling.py: a referee raised a
ciphertext-only second-order attack; the exact-population test shows the
received covariance leaks only a sparse rank-deficient subset of the key
Gram and leaves the eavesdropper at the random-guess level.

Dump verify_math.csv, move the superseded V=256 pilot CSVs to data/pilot.
This commit is contained in:
KiHoLee
2026-08-16 23:48:39 +09:00
parent fbbad154b2
commit 3529ab1918
28 changed files with 755 additions and 123 deletions
+3
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Superseded CPU-sized pilot run (V=256) from feasibility_security.py.
Kept for the record; every quoted number in the paper comes from the
full-scale CSVs one level up or from verify_math.csv.
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n_frames,perm_frac,eve_ser
1,0.20234375,0.998977
2,0.7140625,0.7107255
3,0.91484375,0.4172725
4,0.94921875,0.324415
5,0.9515625,0.340107
6,0.94765625,0.3034795
8,0.95625,0.303056
10,0.95546875,0.3027505
12,0.94921875,0.3028
16,0.9546875,0.3036285
24,0.94921875,0.303151
32,0.95234375,0.302631
48,0.95,0.3030415
64,0.9515625,0.3025125
1 n_frames perm_frac eve_ser
2 1 0.20234375 0.998977
3 2 0.7140625 0.7107255
4 3 0.91484375 0.4172725
5 4 0.94921875 0.324415
6 5 0.9515625 0.340107
7 6 0.94765625 0.3034795
8 8 0.95625 0.303056
9 10 0.95546875 0.3027505
10 12 0.94921875 0.3028
11 16 0.9546875 0.3036285
12 24 0.94921875 0.303151
13 32 0.95234375 0.302631
14 48 0.95 0.3030415
15 64 0.9515625 0.3025125
+14 -7
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@@ -1,8 +1,15 @@
K,ser_mask,ser_perm,ser_pad,best_kappa,best_frac
1,0.9993678262,0.9999544349,0.9999847412,0.1909643153,0.0160546875
10,0.9948030015,0.9999095052,0.9998474121,0.4626973216,0.041015625
100,0.9825717055,0.9998648567,0.9984741211,0.6342127242,0.0658203125
1000,0.9568330187,0.9998315989,0.9847412109,0.7432459045,0.084296875
10000,0.909109588,0.9997988333,0.8474121094,0.8165387856,0.1025
100000,0.8435049061,0.9997690911,0,0.8680494354,0.1190234375
1000000,0.7503523409,0.9997409661,0,0.905556646,0.1346484375
1,0.9993527855,0.9999542171,0.9999893771,0.1909643153,0.0160546875
3,0.9977393447,0.9999284847,0.9999681312,0.3326517476,0.0281640625
10,0.9952796283,0.9998968587,0.9998937706,0.450762326,0.043046875
30,0.9895360243,0.9998741146,0.9996813118,0.5560672497,0.05375
100,0.9834025595,0.9998495442,0.998937706,0.6290900875,0.0653125
300,0.9728417994,0.9998307015,0.996813118,0.688703621,0.0741796875
1000,0.9568452325,0.9998081233,0.9893770599,0.7427389508,0.0848046875
3000,0.9366731394,0.9997877864,0.9681311798,0.7822538913,0.094375
10000,0.9075372546,0.9997705208,0.8937705994,0.8169040678,0.1025
30000,0.8818766363,0.9997525081,0.6813117981,0.8434367197,0.1109765625
65536,0.8592861449,0.9997413851,0.303815,0.8592030095,0.1162109375
100000,0.8443657504,0.9997355745,0.303815,0.8678447033,0.1189453125
300000,0.802269081,0.9997181429,0.303815,0.8874619916,0.1271484375
1000000,0.7622180175,0.9997021224,0.303815,0.9034448904,0.1346875
1 K ser_mask ser_perm ser_pad best_kappa best_frac
2 1 0.9993678262 0.9993527855 0.9999544349 0.9999542171 0.9999847412 0.9999893771 0.1909643153 0.0160546875
3 10 3 0.9948030015 0.9977393447 0.9999095052 0.9999284847 0.9998474121 0.9999681312 0.4626973216 0.3326517476 0.041015625 0.0281640625
4 100 10 0.9825717055 0.9952796283 0.9998648567 0.9998968587 0.9984741211 0.9998937706 0.6342127242 0.450762326 0.0658203125 0.043046875
5 1000 30 0.9568330187 0.9895360243 0.9998315989 0.9998741146 0.9847412109 0.9996813118 0.7432459045 0.5560672497 0.084296875 0.05375
6 10000 100 0.909109588 0.9834025595 0.9997988333 0.9998495442 0.8474121094 0.998937706 0.8165387856 0.6290900875 0.1025 0.0653125
7 100000 300 0.8435049061 0.9728417994 0.9997690911 0.9998307015 0 0.996813118 0.8680494354 0.688703621 0.1190234375 0.0741796875
8 1000000 1000 0.7503523409 0.9568452325 0.9997409661 0.9998081233 0 0.9893770599 0.905556646 0.7427389508 0.1346484375 0.0848046875
9 3000 0.9366731394 0.9997877864 0.9681311798 0.7822538913 0.094375
10 10000 0.9075372546 0.9997705208 0.8937705994 0.8169040678 0.1025
11 30000 0.8818766363 0.9997525081 0.6813117981 0.8434367197 0.1109765625
12 65536 0.8592861449 0.9997413851 0.303815 0.8592030095 0.1162109375
13 100000 0.8443657504 0.9997355745 0.303815 0.8678447033 0.1189453125
14 300000 0.802269081 0.9997181429 0.303815 0.8874619916 0.1271484375
15 1000000 0.7622180175 0.9997021224 0.303815 0.9034448904 0.1346875
+15 -6
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@@ -1,8 +1,17 @@
jsr_db,blind,matched,perm_blind,oma_targeted
-10,0.4691233333,0.7203966667,0.4694833333,0.6401244609
-5,0.6347966667,0.87413,0.6333466667,0.8146859285
0,0.80602,0.95331,0.8066566667,0.9237966241
5,0.9194566667,0.98428,0.9189733333,0.9727474174
10,0.9703833333,0.99481,0.97034,0.9908905586
15,0.9903833333,0.9983633333,0.9900733333,0.9970319887
20,0.9967733333,0.9995166667,0.9968766667,0.9990359654
-8,0.52954,0.7906333333,0.5275833333,0.7152454705
-6,0.5965433333,0.8503566667,0.59758,0.7840240868
-4,0.6703433333,0.8956333333,0.6699733333,0.8424432091
-2,0.7420833333,0.9283666667,0.7431533333,0.8888838836
0,0.8070433333,0.9532066667,0.8059933333,0.9237966241
2,0.8593066667,0.96942,0.85862,0.9488822017
4,0.9014266667,0.9805533333,0.9025733333,0.9662811712
6,0.9327633333,0.9872533333,0.9318466667,0.9780307416
8,0.9549433333,0.9917766667,0.9550866667,0.9858109157
10,0.9699833333,0.99508,0.9707366667,0.9908905586
12,0.98118,0.9966966667,0.9804366667,0.9941743502
14,0.9872866667,0.9979833333,0.9879066667,0.9962827887
16,0.9922966667,0.99871,0.9921133333,0.9976304229
18,0.9948766667,0.9992,0.99484,0.9984893291
20,0.99685,0.9994833333,0.9969366667,0.9990359654
1 jsr_db blind matched perm_blind oma_targeted
2 -10 0.4691233333 0.7203966667 0.4694833333 0.6401244609
3 -5 -8 0.6347966667 0.52954 0.87413 0.7906333333 0.6333466667 0.5275833333 0.8146859285 0.7152454705
4 0 -6 0.80602 0.5965433333 0.95331 0.8503566667 0.8066566667 0.59758 0.9237966241 0.7840240868
5 5 -4 0.9194566667 0.6703433333 0.98428 0.8956333333 0.9189733333 0.6699733333 0.9727474174 0.8424432091
6 10 -2 0.9703833333 0.7420833333 0.99481 0.9283666667 0.97034 0.7431533333 0.9908905586 0.8888838836
7 15 0 0.9903833333 0.8070433333 0.9983633333 0.9532066667 0.9900733333 0.8059933333 0.9970319887 0.9237966241
8 20 2 0.9967733333 0.8593066667 0.9995166667 0.96942 0.9968766667 0.85862 0.9990359654 0.9488822017
9 4 0.9014266667 0.9805533333 0.9025733333 0.9662811712
10 6 0.9327633333 0.9872533333 0.9318466667 0.9780307416
11 8 0.9549433333 0.9917766667 0.9550866667 0.9858109157
12 10 0.9699833333 0.99508 0.9707366667 0.9908905586
13 12 0.98118 0.9966966667 0.9804366667 0.9941743502
14 14 0.9872866667 0.9979833333 0.9879066667 0.9962827887
15 16 0.9922966667 0.99871 0.9921133333 0.9976304229
16 18 0.9948766667 0.9992 0.99484 0.9984893291
17 20 0.99685 0.9994833333 0.9969366667 0.9990359654
+201
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ser,gap_db
0.7203966667,7.395409349
0.7217858794,7.394580398
0.7231750921,7.393751447
0.7245643049,7.392922496
0.7259535176,7.392093545
0.7273427303,7.391264594
0.728731943,7.390435644
0.7301211558,7.389606693
0.7315103685,7.388777742
0.7328995812,7.387948791
0.734288794,7.38711984
0.7356780067,7.386290889
0.7370672194,7.385461939
0.7384564322,7.384632988
0.7398456449,7.383804037
0.7412348576,7.382975086
0.7426240704,7.383719533
0.7440132831,7.386932812
0.7454024958,7.390146092
0.7467917085,7.393359371
0.7481809213,7.39657265
0.749570134,7.39978593
0.7509593467,7.402999209
0.7523485595,7.406212489
0.7537377722,7.409425768
0.7551269849,7.412639048
0.7565161977,7.415852327
0.7579054104,7.419065607
0.7592946231,7.422278886
0.7606838358,7.425492166
0.7620730486,7.428705445
0.7634622613,7.431918725
0.764851474,7.435132004
0.7662406868,7.438345284
0.7676298995,7.441558563
0.7690191122,7.444771843
0.770408325,7.447985122
0.7717975377,7.451198402
0.7731867504,7.454411681
0.7745759631,7.457624961
0.7759651759,7.46083824
0.7773543886,7.46405152
0.7787436013,7.467264799
0.7801328141,7.470478079
0.7815220268,7.473691358
0.7829112395,7.476904638
0.7843004523,7.480117917
0.785689665,7.483331197
0.7870788777,7.486544476
0.7884680905,7.489757756
0.7898573032,7.492971035
0.7912465159,7.493110679
0.7926357286,7.4893604
0.7940249414,7.485610121
0.7954141541,7.481859841
0.7968033668,7.478109562
0.7981925796,7.474359282
0.7995817923,7.470609003
0.800971005,7.466858724
0.8023602178,7.463108444
0.8037494305,7.459358165
0.8051386432,7.455607885
0.8065278559,7.451857606
0.8079170687,7.454642491
0.8093062814,7.461282924
0.8106954941,7.467923358
0.8120847069,7.474563791
0.8134739196,7.481204225
0.8148631323,7.487844658
0.8162523451,7.494485092
0.8176415578,7.501125525
0.8190307705,7.507765959
0.8204199832,7.514406392
0.821809196,7.521046826
0.8231984087,7.527687259
0.8245876214,7.534327693
0.8259768342,7.540968126
0.8273660469,7.54760856
0.8287552596,7.554248993
0.8301444724,7.560889427
0.8315336851,7.567529861
0.8329228978,7.574170294
0.8343121106,7.580810728
0.8357013233,7.587451161
0.837090536,7.594091595
0.8384797487,7.600732028
0.8398689615,7.607372462
0.8412581742,7.614012895
0.8426473869,7.620653329
0.8440365997,7.627293762
0.8454258124,7.633934196
0.8468150251,7.640574629
0.8482042379,7.647215063
0.8495934506,7.653855496
0.8509826633,7.653807084
0.852371876,7.645603621
0.8537610888,7.637400158
0.8551503015,7.629196695
0.8565395142,7.620993232
0.857928727,7.612789769
0.8593179397,7.604690194
0.8607071524,7.609289208
0.8620963652,7.613888221
0.8634855779,7.618487234
0.8648747906,7.623086248
0.8662640034,7.627685261
0.8676532161,7.632284274
0.8690424288,7.636883288
0.8704316415,7.641482301
0.8718208543,7.646081314
0.873210067,7.650680328
0.8745992797,7.655279341
0.8759884925,7.659878354
0.8773777052,7.664477367
0.8787669179,7.669076381
0.8801561307,7.673675394
0.8815453434,7.678274407
0.8829345561,7.682873421
0.8843237688,7.687472434
0.8857129816,7.692071447
0.8871021943,7.696670461
0.888491407,7.701269474
0.8898806198,7.705868487
0.8912698325,7.7104675
0.8926590452,7.715066514
0.894048258,7.719665527
0.8954374707,7.72426454
0.8968266834,7.708663797
0.8982158961,7.689747699
0.8996051089,7.670831601
0.9009943216,7.651915503
0.9023835343,7.648634256
0.9037727471,7.652417362
0.9051619598,7.656200468
0.9065511725,7.659983574
0.9079403853,7.66376668
0.909329598,7.667549785
0.9107188107,7.671332891
0.9121080235,7.675115997
0.9134972362,7.678899103
0.9148864489,7.682682209
0.9162756616,7.686465314
0.9176648744,7.69024842
0.9190540871,7.694031526
0.9204432998,7.697814632
0.9218325126,7.701597738
0.9232217253,7.705380843
0.924610938,7.709163949
0.9260001508,7.712947055
0.9273893635,7.716730161
0.9287785762,7.712515836
0.9301677889,7.68932668
0.9315570017,7.666137524
0.9329462144,7.647766978
0.9343354271,7.661181255
0.9357246399,7.674595531
0.9371138526,7.688009808
0.9385030653,7.701424084
0.9398922781,7.714838361
0.9412814908,7.728252637
0.9426707035,7.741666914
0.9440599162,7.75508119
0.945449129,7.768495467
0.9468383417,7.781909743
0.9482275544,7.79532402
0.9496167672,7.808738296
0.9510059799,7.822152572
0.9523951926,7.835566849
0.9537844054,7.82423082
0.9551736181,7.787989163
0.9565628308,7.801358196
0.9579520436,7.814727229
0.9593412563,7.828096263
0.960730469,7.841465296
0.9621196817,7.85483433
0.9635088945,7.868203363
0.9648981072,7.881572397
0.9662873199,7.89494143
0.9676765327,7.908310464
0.9690657454,7.921679497
0.9704549581,7.898323164
0.9718441709,7.896911546
0.9732333836,7.895499928
0.9746225963,7.894088311
0.976011809,7.892676693
0.9774010218,7.891265075
0.9787902345,7.889853457
0.9801794472,7.888441839
0.98156866,7.824207805
0.9829578727,7.864499773
0.9843470854,7.904791741
0.9857362982,7.945083709
0.9871255109,7.985375677
0.9885147236,7.932516304
0.9899039363,7.872849328
0.9912931491,7.813182351
0.9926823618,7.750636227
0.9940715745,7.986447804
0.9954607873,8.12093709
0.99685,7.761658031
1 ser gap_db
2 0.7203966667 7.395409349
3 0.7217858794 7.394580398
4 0.7231750921 7.393751447
5 0.7245643049 7.392922496
6 0.7259535176 7.392093545
7 0.7273427303 7.391264594
8 0.728731943 7.390435644
9 0.7301211558 7.389606693
10 0.7315103685 7.388777742
11 0.7328995812 7.387948791
12 0.734288794 7.38711984
13 0.7356780067 7.386290889
14 0.7370672194 7.385461939
15 0.7384564322 7.384632988
16 0.7398456449 7.383804037
17 0.7412348576 7.382975086
18 0.7426240704 7.383719533
19 0.7440132831 7.386932812
20 0.7454024958 7.390146092
21 0.7467917085 7.393359371
22 0.7481809213 7.39657265
23 0.749570134 7.39978593
24 0.7509593467 7.402999209
25 0.7523485595 7.406212489
26 0.7537377722 7.409425768
27 0.7551269849 7.412639048
28 0.7565161977 7.415852327
29 0.7579054104 7.419065607
30 0.7592946231 7.422278886
31 0.7606838358 7.425492166
32 0.7620730486 7.428705445
33 0.7634622613 7.431918725
34 0.764851474 7.435132004
35 0.7662406868 7.438345284
36 0.7676298995 7.441558563
37 0.7690191122 7.444771843
38 0.770408325 7.447985122
39 0.7717975377 7.451198402
40 0.7731867504 7.454411681
41 0.7745759631 7.457624961
42 0.7759651759 7.46083824
43 0.7773543886 7.46405152
44 0.7787436013 7.467264799
45 0.7801328141 7.470478079
46 0.7815220268 7.473691358
47 0.7829112395 7.476904638
48 0.7843004523 7.480117917
49 0.785689665 7.483331197
50 0.7870788777 7.486544476
51 0.7884680905 7.489757756
52 0.7898573032 7.492971035
53 0.7912465159 7.493110679
54 0.7926357286 7.4893604
55 0.7940249414 7.485610121
56 0.7954141541 7.481859841
57 0.7968033668 7.478109562
58 0.7981925796 7.474359282
59 0.7995817923 7.470609003
60 0.800971005 7.466858724
61 0.8023602178 7.463108444
62 0.8037494305 7.459358165
63 0.8051386432 7.455607885
64 0.8065278559 7.451857606
65 0.8079170687 7.454642491
66 0.8093062814 7.461282924
67 0.8106954941 7.467923358
68 0.8120847069 7.474563791
69 0.8134739196 7.481204225
70 0.8148631323 7.487844658
71 0.8162523451 7.494485092
72 0.8176415578 7.501125525
73 0.8190307705 7.507765959
74 0.8204199832 7.514406392
75 0.821809196 7.521046826
76 0.8231984087 7.527687259
77 0.8245876214 7.534327693
78 0.8259768342 7.540968126
79 0.8273660469 7.54760856
80 0.8287552596 7.554248993
81 0.8301444724 7.560889427
82 0.8315336851 7.567529861
83 0.8329228978 7.574170294
84 0.8343121106 7.580810728
85 0.8357013233 7.587451161
86 0.837090536 7.594091595
87 0.8384797487 7.600732028
88 0.8398689615 7.607372462
89 0.8412581742 7.614012895
90 0.8426473869 7.620653329
91 0.8440365997 7.627293762
92 0.8454258124 7.633934196
93 0.8468150251 7.640574629
94 0.8482042379 7.647215063
95 0.8495934506 7.653855496
96 0.8509826633 7.653807084
97 0.852371876 7.645603621
98 0.8537610888 7.637400158
99 0.8551503015 7.629196695
100 0.8565395142 7.620993232
101 0.857928727 7.612789769
102 0.8593179397 7.604690194
103 0.8607071524 7.609289208
104 0.8620963652 7.613888221
105 0.8634855779 7.618487234
106 0.8648747906 7.623086248
107 0.8662640034 7.627685261
108 0.8676532161 7.632284274
109 0.8690424288 7.636883288
110 0.8704316415 7.641482301
111 0.8718208543 7.646081314
112 0.873210067 7.650680328
113 0.8745992797 7.655279341
114 0.8759884925 7.659878354
115 0.8773777052 7.664477367
116 0.8787669179 7.669076381
117 0.8801561307 7.673675394
118 0.8815453434 7.678274407
119 0.8829345561 7.682873421
120 0.8843237688 7.687472434
121 0.8857129816 7.692071447
122 0.8871021943 7.696670461
123 0.888491407 7.701269474
124 0.8898806198 7.705868487
125 0.8912698325 7.7104675
126 0.8926590452 7.715066514
127 0.894048258 7.719665527
128 0.8954374707 7.72426454
129 0.8968266834 7.708663797
130 0.8982158961 7.689747699
131 0.8996051089 7.670831601
132 0.9009943216 7.651915503
133 0.9023835343 7.648634256
134 0.9037727471 7.652417362
135 0.9051619598 7.656200468
136 0.9065511725 7.659983574
137 0.9079403853 7.66376668
138 0.909329598 7.667549785
139 0.9107188107 7.671332891
140 0.9121080235 7.675115997
141 0.9134972362 7.678899103
142 0.9148864489 7.682682209
143 0.9162756616 7.686465314
144 0.9176648744 7.69024842
145 0.9190540871 7.694031526
146 0.9204432998 7.697814632
147 0.9218325126 7.701597738
148 0.9232217253 7.705380843
149 0.924610938 7.709163949
150 0.9260001508 7.712947055
151 0.9273893635 7.716730161
152 0.9287785762 7.712515836
153 0.9301677889 7.68932668
154 0.9315570017 7.666137524
155 0.9329462144 7.647766978
156 0.9343354271 7.661181255
157 0.9357246399 7.674595531
158 0.9371138526 7.688009808
159 0.9385030653 7.701424084
160 0.9398922781 7.714838361
161 0.9412814908 7.728252637
162 0.9426707035 7.741666914
163 0.9440599162 7.75508119
164 0.945449129 7.768495467
165 0.9468383417 7.781909743
166 0.9482275544 7.79532402
167 0.9496167672 7.808738296
168 0.9510059799 7.822152572
169 0.9523951926 7.835566849
170 0.9537844054 7.82423082
171 0.9551736181 7.787989163
172 0.9565628308 7.801358196
173 0.9579520436 7.814727229
174 0.9593412563 7.828096263
175 0.960730469 7.841465296
176 0.9621196817 7.85483433
177 0.9635088945 7.868203363
178 0.9648981072 7.881572397
179 0.9662873199 7.89494143
180 0.9676765327 7.908310464
181 0.9690657454 7.921679497
182 0.9704549581 7.898323164
183 0.9718441709 7.896911546
184 0.9732333836 7.895499928
185 0.9746225963 7.894088311
186 0.976011809 7.892676693
187 0.9774010218 7.891265075
188 0.9787902345 7.889853457
189 0.9801794472 7.888441839
190 0.98156866 7.824207805
191 0.9829578727 7.864499773
192 0.9843470854 7.904791741
193 0.9857362982 7.945083709
194 0.9871255109 7.985375677
195 0.9885147236 7.932516304
196 0.9899039363 7.872849328
197 0.9912931491 7.813182351
198 0.9926823618 7.750636227
199 0.9940715745 7.986447804
200 0.9954607873 8.12093709
201 0.99685 7.761658031
+11 -8
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@@ -1,10 +1,13 @@
L,d,legit_ser,eve_ser,mask_xcorr,oma
4,16,0.9997925,0.999963,0.01188752614,0.2747696909
6,24,0.9921175,0.9996935,0.09415384382,0.2747696909
8,32,0.9297855,0.999972,0.007307400461,0.2747696909
12,48,0.416604,0.999781,0.005153660662,0.2747696909
4,16,0.9997925,0.999963,0.01188752614,0.961963405
6,24,0.9921175,0.9996935,0.09415384382,nan
8,32,0.9297855,0.999972,0.007307400461,0.4769767714
10,40,0.6965535,0.9999585,0.006223429926,nan
12,48,0.416604,0.999781,0.005153660662,nan
14,56,0.3323575,0.999695,0.005685989745,nan
16,64,0.2762895,0.9999285,0.007116591092,0.2747696909
24,96,0.1829615,0.999975,0.002973971656,0.2747696909
32,128,0.131901,0.9998895,0.005575809628,0.2747696909
48,192,0.090206,0.999845,0.005743456539,0.2747696909
64,256,0.0635265,0.9997915,0.006678360514,0.2747696909
20,80,0.2076175,0.9996245,0.003162040841,0.2289444229
24,96,0.1829615,0.999975,0.002973971656,0.1961714033
32,128,0.131901,0.9998895,0.005575809628,0.1524639978
48,192,0.090206,0.999845,0.005743456539,0.1054308944
64,256,0.0635265,0.9997915,0.006678360514,0.08056383667
1 L d legit_ser eve_ser mask_xcorr oma
2 4 16 0.9997925 0.999963 0.01188752614 0.2747696909 0.961963405
3 6 24 0.9921175 0.9996935 0.09415384382 0.2747696909 nan
4 8 32 0.9297855 0.999972 0.007307400461 0.2747696909 0.4769767714
5 12 10 48 40 0.416604 0.6965535 0.999781 0.9999585 0.005153660662 0.006223429926 0.2747696909 nan
6 12 48 0.416604 0.999781 0.005153660662 nan
7 14 56 0.3323575 0.999695 0.005685989745 nan
8 16 64 0.2762895 0.9999285 0.007116591092 0.2747696909
9 24 20 96 80 0.1829615 0.2076175 0.999975 0.9996245 0.002973971656 0.003162040841 0.2747696909 0.2289444229
10 32 24 128 96 0.131901 0.1829615 0.9998895 0.999975 0.005575809628 0.002973971656 0.2747696909 0.1961714033
11 48 32 192 128 0.090206 0.131901 0.999845 0.9998895 0.005743456539 0.005575809628 0.2747696909 0.1524639978
12 64 48 256 192 0.0635265 0.090206 0.9997915 0.999845 0.006678360514 0.005743456539 0.2747696909 0.1054308944
13 64 256 0.0635265 0.9997915 0.006678360514 0.08056383667
+13 -10
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@@ -1,11 +1,14 @@
frac,ser_mask,ser_perm,ser_pad
0,0.99998375,0.9999833333,0.9999847412
0.2,0.9997954167,0.9996233333,0.999859778
0.4,0.9985329167,0.9949383333,0.9987114181
0.6,0.99153625,0.9540933333,0.9881584643
0.75,0.9644704167,0.880335,0.9375
0.85,0.88742875,0.7279433333,0.8105354292
0.9,0.7780379167,0.5716733333,0.6701230223
0.94,0.6256225,0.4316466667,0.4859430867
0.97,0.43810125,0.3708666667,0.283022376
1,0.2756983333,0.3021566667,0
0,0.9999779167,0.9999883333,0.9999893771
0.2,0.9997833333,0.9995633333,0.9999023796
0.4,0.9984945833,0.9950233333,0.9991029086
0.6,0.9915358333,0.9543866667,0.9917561005
0.75,0.9643629167,0.8802716667,0.9564884375
0.85,0.8872583333,0.727755,0.8680976078
0.9,0.7787070833,0.5709983333,0.7703445963
0.92,0.7202866667,0.502115,0.7133141438
0.94,0.6145370833,0.4848966667,0.6421212878
0.955,0.52254125,0.4416266667,0.5773478672
0.97,0.4333570833,0.3520316667,0.5008509328
0.985,0.3505958333,0.30335,0.4105086147
1,0.2758220833,0.303165,0.303815
1 frac ser_mask ser_perm ser_pad
2 0 0.99998375 0.9999779167 0.9999833333 0.9999883333 0.9999847412 0.9999893771
3 0.2 0.9997954167 0.9997833333 0.9996233333 0.9995633333 0.999859778 0.9999023796
4 0.4 0.9985329167 0.9984945833 0.9949383333 0.9950233333 0.9987114181 0.9991029086
5 0.6 0.99153625 0.9915358333 0.9540933333 0.9543866667 0.9881584643 0.9917561005
6 0.75 0.9644704167 0.9643629167 0.880335 0.8802716667 0.9375 0.9564884375
7 0.85 0.88742875 0.8872583333 0.7279433333 0.727755 0.8105354292 0.8680976078
8 0.9 0.7780379167 0.7787070833 0.5716733333 0.5709983333 0.6701230223 0.7703445963
9 0.94 0.92 0.6256225 0.7202866667 0.4316466667 0.502115 0.4859430867 0.7133141438
10 0.97 0.94 0.43810125 0.6145370833 0.3708666667 0.4848966667 0.283022376 0.6421212878
11 1 0.955 0.2756983333 0.52254125 0.3021566667 0.4416266667 0 0.5773478672
12 0.97 0.4333570833 0.3520316667 0.5008509328
13 0.985 0.3505958333 0.30335 0.4105086147
14 1 0.2758220833 0.303165 0.303815
+11 -6
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@@ -1,7 +1,12 @@
snr_db,legit,eve_wrong,eve_none,eve_public,oma,chance
0,0.8944596875,0.9999515625,0.999990625,0.8943865625,0.8933480658,0.9999847412
4,0.66980875,0.9999575,0.99998625,0.670624375,0.6686275787,0.9999847412
8,0.39054875,0.9999425,0.9999865625,0.3902384375,0.3892153151,0.9999847412
12,0.1880821875,0.9999284375,0.9999890625,0.1877565625,0.1870712987,0.9999847412
16,0.0811665625,0.9999203125,0.9999875,0.081488125,0.08092517452,0.9999847412
20,0.033519375,0.999921875,0.999988125,0.0334946875,0.03334949917,0.9999847412
0,0.8944596875,0.9999621875,0.999988125,0.8945528125,0.8933480658,0.9999847412
2,0.79877875,0.9999559375,0.999986875,0.798940625,0.7973276257,0.9999847412
4,0.6697890625,0.9999446875,0.99998625,0.6702265625,0.6686275787,0.9999847412
6,0.5269903125,0.999944375,0.99999125,0.5272609375,0.525415822,0.9999847412
8,0.39087,0.9999415625,0.999988125,0.39062875,0.3892153151,0.9999847412
10,0.2760796875,0.9999296875,0.999986875,0.2753090625,0.2747696909,0.9999847412
12,0.1876809375,0.9999203125,0.9999884375,0.1878209375,0.1870712987,0.9999847412
14,0.1250471875,0.999920625,0.9999896875,0.12470875,0.1241256148,0.9999847412
16,0.0812634375,0.9999153125,0.999985625,0.08121,0.08092517452,0.9999847412
18,0.05243375,0.9999090625,0.9999865625,0.0526228125,0.05214810026,0.9999847412
20,0.0335228125,0.9999196875,0.999988125,0.033636875,0.03334949917,0.9999847412
1 snr_db legit eve_wrong eve_none eve_public oma chance
2 0 0.8944596875 0.9999515625 0.9999621875 0.999990625 0.999988125 0.8943865625 0.8945528125 0.8933480658 0.9999847412
3 4 2 0.66980875 0.79877875 0.9999575 0.9999559375 0.99998625 0.999986875 0.670624375 0.798940625 0.6686275787 0.7973276257 0.9999847412
4 8 4 0.39054875 0.6697890625 0.9999425 0.9999446875 0.9999865625 0.99998625 0.3902384375 0.6702265625 0.3892153151 0.6686275787 0.9999847412
5 12 6 0.1880821875 0.5269903125 0.9999284375 0.999944375 0.9999890625 0.99999125 0.1877565625 0.5272609375 0.1870712987 0.525415822 0.9999847412
6 16 8 0.0811665625 0.39087 0.9999203125 0.9999415625 0.9999875 0.999988125 0.081488125 0.39062875 0.08092517452 0.3892153151 0.9999847412
7 20 10 0.033519375 0.2760796875 0.999921875 0.9999296875 0.999988125 0.999986875 0.0334946875 0.2753090625 0.03334949917 0.2747696909 0.9999847412
8 12 0.1876809375 0.9999203125 0.9999884375 0.1878209375 0.1870712987 0.9999847412
9 14 0.1250471875 0.999920625 0.9999896875 0.12470875 0.1241256148 0.9999847412
10 16 0.0812634375 0.9999153125 0.999985625 0.08121 0.08092517452 0.9999847412
11 18 0.05243375 0.9999090625 0.9999865625 0.0526228125 0.05214810026 0.9999847412
12 20 0.0335228125 0.9999196875 0.999988125 0.033636875 0.03334949917 0.9999847412
+10
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@@ -0,0 +1,10 @@
check,claim,empirical,abs_err,tol,verdict
V1 legit self-alignment,1.0,0.9994724071424732,0.000527592857526793,0.02,PASS
V2a eve mean advantage,0.0,0.0006469982936097643,0.0006469982936097643,0.003,PASS
V2b eve SER @ 0dB,0.99609375,0.995,0.0010937500000000044,0.015,PASS
V2b eve SER @ 10dB,0.99609375,0.9888333333333333,0.007260416666666658,0.015,PASS
V2b eve SER @ 20dB,0.99609375,0.9881666666666666,0.007927083333333362,0.015,PASS
V2b eve SER @ 80dB,0.99609375,0.9896666666666667,0.0064270833333333055,0.015,PASS
V3b random mask E|corr|,0.09973557010035818,0.10187042771408686,0.002134857613728683,0.009973557010035819,PASS
V4a blind jammer projection mean,0.0,0.00026396107284673695,0.00026396107284673695,0.003,PASS
V4b blind jammer projection variance,0.01558576233568703,0.015476787953278994,0.00010897438240803532,0.0007792881167843516,PASS
1 check claim empirical abs_err tol verdict
2 V1 legit self-alignment 1.0 0.9994724071424732 0.000527592857526793 0.02 PASS
3 V2a eve mean advantage 0.0 0.0006469982936097643 0.0006469982936097643 0.003 PASS
4 V2b eve SER @ 0dB 0.99609375 0.995 0.0010937500000000044 0.015 PASS
5 V2b eve SER @ 10dB 0.99609375 0.9888333333333333 0.007260416666666658 0.015 PASS
6 V2b eve SER @ 20dB 0.99609375 0.9881666666666666 0.007927083333333362 0.015 PASS
7 V2b eve SER @ 80dB 0.99609375 0.9896666666666667 0.0064270833333333055 0.015 PASS
8 V3b random mask E|corr| 0.09973557010035818 0.10187042771408686 0.002134857613728683 0.009973557010035819 PASS
9 V4a blind jammer projection mean 0.0 0.00026396107284673695 0.00026396107284673695 0.003 PASS
10 V4b blind jammer projection variance 0.01558576233568703 0.015476787953278994 0.00010897438240803532 0.0007792881167843516 PASS