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Structured key family as the main configuration

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Unconstrained key training converged to disjoint sparse supports: 99
percent of each users key energy sat on three or four of the sixteen
entries, with pairwise disjoint supports and one numerically dead
codebook column. That is an orthogonal slot allocation, so the
superposition collapsed into OMA and the key space was far smaller than
the dense direction the brute-force study assumes.

The main configuration is now the structured Walsh-Hadamard family,
which is dense, exactly orthogonal, unit modulus, and already the best
family in the key-family table. base_keys generalizes to any key length
by truncating the next power-of-two Sylvester order, and the key-length
sweep keeps only lengths where the truncated rows stay exactly
orthogonal, verified numerically.

Also fixes the M-PAM energy normalization in oma_ser_keylen, which used
sqrt(6g/(M^2-1)) where unit average symbol energy gives A^2=3/(M^2-1);
the closed form was 3 dB optimistic and now reproduces a direct Monte
Carlo to 1e-5.

Results move accordingly: the proposal now stays below OMA at every SNR
and reaches 1.52x at key length 64, while the jamming margin falls to
5.5-6.3 dB and the brute-force curve to 0.59 at a million guesses.
This commit is contained in:
KiHoLee
2026-08-17 20:02:27 +09:00
parent b120364e38
commit 3d5a7fc6f3
27 changed files with 561 additions and 418 deletions
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data/kpa.csv
+42 -42
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@@ -1,43 +1,43 @@
snr_db,n_frames,kappa,eve_ser
0,1,0.2374871574,0.99874975
0,2,0.6126027606,0.96312825
0,3,0.7285515711,0.921628875
0,4,0.8244251639,0.85221925
0,5,0.868628718,0.797125
0,6,0.8920436099,0.745713875
0,8,0.9208301157,0.67688775
0,10,0.9429872826,0.592138625
0,12,0.9557282105,0.534421875
0,16,0.9700051412,0.44833975
0,24,0.9802580416,0.38197025
0,32,0.9852379695,0.351050875
0,48,0.9904022858,0.32166525
0,64,0.993118532,0.307348
10,1,0.3489475794,0.989224875
10,2,0.8794977516,0.704872
10,3,0.9473693997,0.547376875
10,4,0.9682661489,0.455776875
10,5,0.9782963678,0.3962285
10,6,0.9843041778,0.359232
10,8,0.9900029436,0.326613375
10,10,0.9934537426,0.306601375
10,12,0.9949941516,0.2992645
10,16,0.9965374678,0.291205125
10,24,0.9978871465,0.285018125
10,32,0.9984912023,0.28255425
10,48,0.9990138412,0.280105125
10,64,0.9992718786,0.279036875
20,1,0.596763967,0.861350125
20,2,0.984469898,0.34732075
20,3,0.9948319912,0.300176375
20,4,0.9975389287,0.286598125
20,5,0.9984581739,0.282405125
20,6,0.9988854468,0.2803655
20,8,0.9992000297,0.279362875
20,10,0.9994319767,0.278179625
20,12,0.9995499209,0.277694875
20,16,0.9996712342,0.277181875
20,24,0.9997934118,0.276410875
20,32,0.999845539,0.2763615
20,48,0.9999018267,0.276363875
20,64,0.9999270439,0.276194125
0,1,0.2506237943,0.998554125
0,2,0.591645799,0.9303495
0,3,0.7079962283,0.8537115
0,4,0.7998725504,0.767802875
0,5,0.850597313,0.684796
0,6,0.8767687038,0.6361745
0,8,0.9171553269,0.520736875
0,10,0.936547631,0.455442125
0,12,0.9516445503,0.400028875
0,16,0.9666089579,0.344806875
0,24,0.9785378739,0.3075
0,32,0.9843035683,0.29181625
0,48,0.989774394,0.27860675
0,64,0.9924546674,0.272548625
10,1,0.3695881277,0.986553125
10,2,0.880338943,0.55928725
10,3,0.9474378824,0.4139
10,4,0.9692240357,0.339236625
10,5,0.9786081538,0.3095635
10,6,0.9846392065,0.292632375
10,8,0.9900667578,0.278431375
10,10,0.9934557095,0.270305
10,12,0.9948186457,0.267862125
10,16,0.9963249952,0.264728875
10,24,0.9976470947,0.26182575
10,32,0.998370938,0.260598625
10,48,0.9989489555,0.259409125
10,64,0.9992221802,0.258898125
20,1,0.6164694946,0.807168125
20,2,0.9846389949,0.29904075
20,3,0.9948147267,0.268233
20,4,0.9972566783,0.262752625
20,5,0.9983854383,0.260594375
20,6,0.9988236457,0.259794
20,8,0.9991258562,0.259128625
20,10,0.9993467629,0.258526
20,12,0.9994955555,0.25809525
20,16,0.9996308014,0.258118625
20,24,0.9997742459,0.25761825
20,32,0.9998249143,0.25777975
20,48,0.9998879731,0.257699625
20,64,0.9999218643,0.257602125
1 snr_db n_frames kappa eve_ser
2 0 1 0.2374871574 0.2506237943 0.99874975 0.998554125
3 0 2 0.6126027606 0.591645799 0.96312825 0.9303495
4 0 3 0.7285515711 0.7079962283 0.921628875 0.8537115
5 0 4 0.8244251639 0.7998725504 0.85221925 0.767802875
6 0 5 0.868628718 0.850597313 0.797125 0.684796
7 0 6 0.8920436099 0.8767687038 0.745713875 0.6361745
8 0 8 0.9208301157 0.9171553269 0.67688775 0.520736875
9 0 10 0.9429872826 0.936547631 0.592138625 0.455442125
10 0 12 0.9557282105 0.9516445503 0.534421875 0.400028875
11 0 16 0.9700051412 0.9666089579 0.44833975 0.344806875
12 0 24 0.9802580416 0.9785378739 0.38197025 0.3075
13 0 32 0.9852379695 0.9843035683 0.351050875 0.29181625
14 0 48 0.9904022858 0.989774394 0.32166525 0.27860675
15 0 64 0.993118532 0.9924546674 0.307348 0.272548625
16 10 1 0.3489475794 0.3695881277 0.989224875 0.986553125
17 10 2 0.8794977516 0.880338943 0.704872 0.55928725
18 10 3 0.9473693997 0.9474378824 0.547376875 0.4139
19 10 4 0.9682661489 0.9692240357 0.455776875 0.339236625
20 10 5 0.9782963678 0.9786081538 0.3962285 0.3095635
21 10 6 0.9843041778 0.9846392065 0.359232 0.292632375
22 10 8 0.9900029436 0.9900667578 0.326613375 0.278431375
23 10 10 0.9934537426 0.9934557095 0.306601375 0.270305
24 10 12 0.9949941516 0.9948186457 0.2992645 0.267862125
25 10 16 0.9965374678 0.9963249952 0.291205125 0.264728875
26 10 24 0.9978871465 0.9976470947 0.285018125 0.26182575
27 10 32 0.9984912023 0.998370938 0.28255425 0.260598625
28 10 48 0.9990138412 0.9989489555 0.280105125 0.259409125
29 10 64 0.9992718786 0.9992221802 0.279036875 0.258898125
30 20 1 0.596763967 0.6164694946 0.861350125 0.807168125
31 20 2 0.984469898 0.9846389949 0.34732075 0.29904075
32 20 3 0.9948319912 0.9948147267 0.300176375 0.268233
33 20 4 0.9975389287 0.9972566783 0.286598125 0.262752625
34 20 5 0.9984581739 0.9983854383 0.282405125 0.260594375
35 20 6 0.9988854468 0.9988236457 0.2803655 0.259794
36 20 8 0.9992000297 0.9991258562 0.279362875 0.259128625
37 20 10 0.9994319767 0.9993467629 0.278179625 0.258526
38 20 12 0.9995499209 0.9994955555 0.277694875 0.25809525
39 20 16 0.9996712342 0.9996308014 0.277181875 0.258118625
40 20 24 0.9997934118 0.9997742459 0.276410875 0.25761825
41 20 32 0.999845539 0.9998249143 0.2763615 0.25777975
42 20 48 0.9999018267 0.9998879731 0.276363875 0.257699625
43 20 64 0.9999270439 0.9999218643 0.276194125 0.257602125
data/pkpa.csv
+16 -14
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@@ -1,15 +1,17 @@
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
1,0.2545572917,0.9990345
2,0.7299479167,0.8108416667
3,0.9266927083,0.4801366667
4,0.9885416667,0.3021165
5,0.9955729167,0.2737706667
6,0.9997395833,0.2587145
7,1,0.2575458333
8,1,0.2575538333
10,1,0.2575
12,1,0.2576706667
16,1,0.2577931667
20,1,0.2578143333
24,1,0.2574975
32,1,0.2576283333
48,1,0.2576288333
64,1,0.2575123333
1 n_frames perm_frac eve_ser
2 1 0.20234375 0.2545572917 0.998977 0.9990345
3 2 0.7140625 0.7299479167 0.7107255 0.8108416667
4 3 0.91484375 0.9266927083 0.4172725 0.4801366667
5 4 0.94921875 0.9885416667 0.324415 0.3021165
6 5 0.9515625 0.9955729167 0.340107 0.2737706667
7 6 0.94765625 0.9997395833 0.3034795 0.2587145
8 8 7 0.95625 1 0.303056 0.2575458333
9 10 8 0.95546875 1 0.3027505 0.2575538333
10 12 10 0.94921875 1 0.3028 0.2575
11 16 12 0.9546875 1 0.3036285 0.2576706667
12 24 16 0.94921875 1 0.303151 0.2577931667
13 32 20 0.95234375 1 0.302631 0.2578143333
14 48 24 0.95 1 0.3030415 0.2574975
15 64 32 0.9515625 1 0.3025125 0.2576283333
16 48 1 0.2576288333
17 64 1 0.2575123333
data/real_sec_stats.json
+3 -3
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@@ -10,19 +10,19 @@
"headline_runs": 4,
"recovery": {
"20": {
"legit": 0.1985369609856263,
"legit": 0.22112422997946612,
"eve": 0.0,
"insider": 0.0,
"oma": 0.19815195071868583
},
"24": {
"legit": 0.5103952772073922,
"legit": 0.5395277207392197,
"eve": 0.0,
"insider": 0.0,
"oma": 0.5160420944558521
},
"28": {
"legit": 0.7630903490759754,
"legit": 0.7804158110882957,
"eve": 0.0,
"insider": 0.0,
"oma": 0.7583418891170431
data/real_sec_ter.csv
+8 -8
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@@ -1,9 +1,9 @@
snr_db,ter_legit,ter_eve,ter_insider,ter_oma
0,0.8937765021,0.9999699976,0.999212437,0.8927576706
4,0.6685672354,0.9999337447,0.9977085667,0.6680284423
8,0.3903512281,0.9999224938,0.9958434175,0.3898399372
12,0.1875025002,0.9999362449,0.9946258201,0.1874349948
16,0.08110023802,0.9999349948,0.9938970118,0.08109648772
20,0.03404147332,0.9999337447,0.9936357409,0.03380395432
24,0.01362108969,0.9999274942,0.9934882291,0.01364484159
28,0.005464187135,0.9999312445,0.993449476,0.005405432435
0,0.8789390651,0.9999649972,0.9990586747,0.8927576706
4,0.6421088687,0.9999537463,0.9975273022,0.6680284423
8,0.3651042083,0.9999649972,0.9957384091,0.3898399372
12,0.1726488119,0.9999537463,0.9944920594,0.1874349948
16,0.07386590927,0.9999337447,0.9938557585,0.08109648772
20,0.0309237239,0.9999362449,0.9936069886,0.03380395432
24,0.01248849908,0.9999324946,0.9934769782,0.01364484159
28,0.004962897032,0.999924994,0.9934394752,0.005405432435
1 snr_db ter_legit ter_eve ter_insider ter_oma
2 0 0.8937765021 0.8789390651 0.9999699976 0.9999649972 0.999212437 0.9990586747 0.8927576706
3 4 0.6685672354 0.6421088687 0.9999337447 0.9999537463 0.9977085667 0.9975273022 0.6680284423
4 8 0.3903512281 0.3651042083 0.9999224938 0.9999649972 0.9958434175 0.9957384091 0.3898399372
5 12 0.1875025002 0.1726488119 0.9999362449 0.9999537463 0.9946258201 0.9944920594 0.1874349948
6 16 0.08110023802 0.07386590927 0.9999349948 0.9999337447 0.9938970118 0.9938557585 0.08109648772
7 20 0.03404147332 0.0309237239 0.9999337447 0.9999362449 0.9936357409 0.9936069886 0.03380395432
8 24 0.01362108969 0.01248849908 0.9999274942 0.9999324946 0.9934882291 0.9934769782 0.01364484159
9 28 0.005464187135 0.004962897032 0.9999312445 0.999924994 0.993449476 0.9934394752 0.005405432435
data/sec_brute_cmp.csv
+14 -14
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@@ -1,15 +1,15 @@
K,ser_mask,ser_perm,ser_pad,best_kappa,best_frac
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
1,0.9993544844,0.9999768274,0.9999886992,0.1909643153,0.0160546875
3,0.997243306,0.9999681491,0.9999660976,0.3326517476,0.0281640625
10,0.9938504211,0.999957483,0.9998869919,0.450762326,0.043046875
30,0.9845428901,0.9999498125,0.9996609756,0.5560672497,0.05375
100,0.9739208985,0.999941526,0.9988699188,0.6290900875,0.0653125
300,0.9540369033,0.9999351712,0.9966097565,0.688703621,0.0741796875
1000,0.9234069553,0.9999275566,0.9886991882,0.7427389508,0.0848046875
3000,0.884658701,0.9999206979,0.9660975647,0.7822538913,0.094375
10000,0.8305012761,0.999914875,0.8869918823,0.8169040678,0.1025
30000,0.7833179277,0.9999088001,0.660975647,0.8434367197,0.1109765625
65536,0.7451236968,0.9999050488,0.25939,0.8592030095,0.1162109375
100000,0.7206406422,0.9999030892,0.25939,0.8678447033,0.1189453125
300000,0.6546171753,0.9998972103,0.25939,0.8874619916,0.1271484375
1000000,0.5948033388,0.9998918073,0.25939,0.9034448904,0.1346875
1 K ser_mask ser_perm ser_pad best_kappa best_frac
2 1 0.9993527855 0.9993544844 0.9999542171 0.9999768274 0.9999893771 0.9999886992 0.1909643153 0.0160546875
3 3 0.9977393447 0.997243306 0.9999284847 0.9999681491 0.9999681312 0.9999660976 0.3326517476 0.0281640625
4 10 0.9952796283 0.9938504211 0.9998968587 0.999957483 0.9998937706 0.9998869919 0.450762326 0.043046875
5 30 0.9895360243 0.9845428901 0.9998741146 0.9999498125 0.9996813118 0.9996609756 0.5560672497 0.05375
6 100 0.9834025595 0.9739208985 0.9998495442 0.999941526 0.998937706 0.9988699188 0.6290900875 0.0653125
7 300 0.9728417994 0.9540369033 0.9998307015 0.9999351712 0.996813118 0.9966097565 0.688703621 0.0741796875
8 1000 0.9568452325 0.9234069553 0.9998081233 0.9999275566 0.9893770599 0.9886991882 0.7427389508 0.0848046875
9 3000 0.9366731394 0.884658701 0.9997877864 0.9999206979 0.9681311798 0.9660975647 0.7822538913 0.094375
10 10000 0.9075372546 0.8305012761 0.9997705208 0.999914875 0.8937705994 0.8869918823 0.8169040678 0.1025
11 30000 0.8818766363 0.7833179277 0.9997525081 0.9999088001 0.6813117981 0.660975647 0.8434367197 0.1109765625
12 65536 0.8592861449 0.7451236968 0.9997413851 0.9999050488 0.303815 0.25939 0.8592030095 0.1162109375
13 100000 0.8443657504 0.7206406422 0.9997355745 0.9999030892 0.303815 0.25939 0.8678447033 0.1189453125
14 300000 0.802269081 0.6546171753 0.9997181429 0.9998972103 0.303815 0.25939 0.8874619916 0.1271484375
15 1000000 0.7622180175 0.5948033388 0.9997021224 0.9998918073 0.303815 0.25939 0.9034448904 0.1346875
data/sec_compare.csv
+4 -4
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@@ -1,6 +1,6 @@
scheme,legit_ser,eve_out,eve_in,jam0_ser
proposed,0.303585,0.99983,0.99998,0.80612
public_mask,0.303585,0.303585,0.303585,0.95359
perm_key,0.303435,0.9999775,0.303435,0.8065225
index_cipher,0.303585,0.9999847412,0.9999847412,0.95359
proposed,0.257845,1,0.9999775,0.7719425
public_mask,0.257845,0.257845,0.257845,0.91675
perm_key,0.2580675,0.99999,0.2580675,0.7721175
index_cipher,0.257845,0.9999847412,0.9999847412,0.91675
oma_plain,0.2747696909,0.2747696909,0.2747696909,nan
1 scheme legit_ser eve_out eve_in jam0_ser
2 proposed 0.303585 0.257845 0.99983 1 0.99998 0.9999775 0.80612 0.7719425
3 public_mask 0.303585 0.257845 0.303585 0.257845 0.303585 0.257845 0.95359 0.91675
4 perm_key 0.303435 0.2580675 0.9999775 0.99999 0.303435 0.2580675 0.8065225 0.7721175
5 index_cipher 0.303585 0.257845 0.9999847412 0.9999847412 0.95359 0.91675
6 oma_plain 0.2747696909 0.2747696909 0.2747696909 nan
data/sec_jam.csv
+7 -7
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@@ -1,8 +1,8 @@
jsr_db,blind,matched,nojam
-10,0.468186,0.720358,0.302716
-5,0.633112,0.874476,0.302716
0,0.806548,0.9534,0.302716
5,0.918778,0.984432,0.302716
10,0.970874,0.994914,0.302716
15,0.989928,0.9984,0.302716
20,0.996858,0.999468,0.302716
-10,0.41313,0.602758,0.257308
-5,0.583948,0.79449,0.257308
0,0.772444,0.917424,0.257308
5,0.902872,0.97136,0.257308
10,0.964788,0.990494,0.257308
15,0.988114,0.99704,0.257308
20,0.99617,0.999024,0.257308
1 jsr_db blind matched nojam
2 -10 0.468186 0.41313 0.720358 0.602758 0.302716 0.257308
3 -5 0.633112 0.583948 0.874476 0.79449 0.302716 0.257308
4 0 0.806548 0.772444 0.9534 0.917424 0.302716 0.257308
5 5 0.918778 0.902872 0.984432 0.97136 0.302716 0.257308
6 10 0.970874 0.964788 0.994914 0.990494 0.302716 0.257308
7 15 0.989928 0.988114 0.9984 0.99704 0.302716 0.257308
8 20 0.996858 0.99617 0.999468 0.999024 0.302716 0.257308
data/sec_jam_cmp.csv
+16 -16
View File
@@ -1,17 +1,17 @@
jsr_db,blind,matched,perm_blind,oma_targeted
-10,0.4691233333,0.7203966667,0.4694833333,0.6401244609
-8,0.52954,0.7906333333,0.5275833333,0.7152454705
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0,0.8070433333,0.9532066667,0.8059933333,0.9237966241
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17 20 0.99685 0.99619 0.9994833333 0.9990566667 0.9969366667 0.9963433333 0.9990359654
data/sec_jam_gap.csv
+200 -200
View File
@@ -1,201 +1,201 @@
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1 ser gap_db
2 0.7203966667 0.6026633333 7.395409349 5.493678481
3 0.7217858794 0.6046408543 7.394580398 5.495143167
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67 0.8106954941 0.7312021943 7.467923358 5.572190839
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82 0.8315336851 0.7608650084 7.567529861 5.613646281
83 0.8329228978 0.7628425293 7.574170294 5.608406639
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87 0.8384797487 0.7707526131 7.600732028 5.587448073
88 0.8398689615 0.772730134 7.607372462 5.583317494
89 0.8412581742 0.7747076549 7.614012895 5.587339621
90 0.8426473869 0.7766851759 7.620653329 5.591361749
91 0.8440365997 0.7786626968 7.627293762 5.595383876
92 0.8454258124 0.7806402178 7.633934196 5.599406004
93 0.8468150251 0.7826177387 7.640574629 5.603428132
94 0.8482042379 0.7845952596 7.647215063 5.607450259
95 0.8495934506 0.7865727806 7.653855496 5.611472387
96 0.8509826633 0.7885503015 7.653807084 5.615494514
97 0.852371876 0.7905278224 7.645603621 5.619516642
98 0.8537610888 0.7925053434 7.637400158 5.62353877
99 0.8551503015 0.7944828643 7.629196695 5.627560897
100 0.8565395142 0.7964603853 7.620993232 5.631583025
101 0.857928727 0.7984379062 7.612789769 5.635605152
102 0.8593179397 0.8004154271 7.604690194 5.63962728
103 0.8607071524 0.8023929481 7.609289208 5.643649408
104 0.8620963652 0.804370469 7.613888221 5.647671535
105 0.8634855779 0.8063479899 7.618487234 5.651693663
106 0.8648747906 0.8083255109 7.623086248 5.65571579
107 0.8662640034 0.8103030318 7.627685261 5.659737918
108 0.8676532161 0.8122805528 7.632284274 5.663760046
109 0.8690424288 0.8142580737 7.636883288 5.667782173
110 0.8704316415 0.8162355946 7.641482301 5.671804301
111 0.8718208543 0.8182131156 7.646081314 5.675826428
112 0.873210067 0.8201906365 7.650680328 5.679848556
113 0.8745992797 0.8221681575 7.655279341 5.683870684
114 0.8759884925 0.8241456784 7.659878354 5.687892811
115 0.8773777052 0.8261231993 7.664477367 5.676216805
116 0.8787669179 0.8281007203 7.669076381 5.664125326
117 0.8801561307 0.8300782412 7.673675394 5.652033848
118 0.8815453434 0.8320557621 7.678274407 5.639942369
119 0.8829345561 0.8340332831 7.682873421 5.630154814
120 0.8843237688 0.836010804 7.687472434 5.634337883
121 0.8857129816 0.837988325 7.692071447 5.638520953
122 0.8871021943 0.8399658459 7.696670461 5.642704022
123 0.888491407 0.8419433668 7.701269474 5.646887091
124 0.8898806198 0.8439208878 7.705868487 5.651070161
125 0.8912698325 0.8458984087 7.7104675 5.65525323
126 0.8926590452 0.8478759296 7.715066514 5.6594363
127 0.894048258 0.8498534506 7.719665527 5.663619369
128 0.8954374707 0.8518309715 7.72426454 5.667802439
129 0.8968266834 0.8538084925 7.708663797 5.671985508
130 0.8982158961 0.8557860134 7.689747699 5.676168577
131 0.8996051089 0.8577635343 7.670831601 5.680351647
132 0.9009943216 0.8597410553 7.651915503 5.684534716
133 0.9023835343 0.8617185762 7.648634256 5.688717786
134 0.9037727471 0.8636960972 7.652417362 5.692900855
135 0.9051619598 0.8656736181 7.656200468 5.697083925
136 0.9065511725 0.867651139 7.659983574 5.701266994
137 0.9079403853 0.86962866 7.66376668 5.705450063
138 0.909329598 0.8716061809 7.667549785 5.709633133
139 0.9107188107 0.8735837018 7.671332891 5.713816202
140 0.9121080235 0.8755612228 7.675115997 5.717999272
141 0.9134972362 0.8775387437 7.678899103 5.704285934
142 0.9148864489 0.8795162647 7.682682209 5.688192672
143 0.9162756616 0.8814937856 7.686465314 5.67209941
144 0.9176648744 0.8834713065 7.69024842 5.666428984
145 0.9190540871 0.8854488275 7.694031526 5.676382997
146 0.9204432998 0.8874263484 7.697814632 5.68633701
147 0.9218325126 0.8894038693 7.701597738 5.696291023
148 0.9232217253 0.8913813903 7.705380843 5.706245035
149 0.924610938 0.8933589112 7.709163949 5.716199048
150 0.9260001508 0.8953364322 7.712947055 5.726153061
151 0.9273893635 0.8973139531 7.716730161 5.736107074
152 0.9287785762 0.899291474 7.712515836 5.746061086
153 0.9301677889 0.901268995 7.68932668 5.756015099
154 0.9315570017 0.9032465159 7.666137524 5.765969112
155 0.9329462144 0.9052240369 7.647766978 5.775923124
156 0.9343354271 0.9072015578 7.661181255 5.785877137
157 0.9357246399 0.9091790787 7.674595531 5.79583115
158 0.9371138526 0.9111565997 7.688009808 5.805785163
159 0.9385030653 0.9131341206 7.701424084 5.815739175
160 0.9398922781 0.9151116415 7.714838361 5.825693188
161 0.9412814908 0.9170891625 7.728252637 5.824055924
162 0.9426707035 0.9190666834 7.741666914 5.787467425
163 0.9440599162 0.9210442044 7.75508119 5.781806417
164 0.945449129 0.9230217253 7.768495467 5.790159547
165 0.9468383417 0.9249992462 7.781909743 5.798512677
166 0.9482275544 0.9269767672 7.79532402 5.806865807
167 0.9496167672 0.9289542881 7.808738296 5.815218937
168 0.9510059799 0.930931809 7.822152572 5.823572067
169 0.9523951926 0.93290933 7.835566849 5.831925197
170 0.9537844054 0.9348868509 7.82423082 5.840278327
171 0.9551736181 0.9368643719 7.787989163 5.848631457
172 0.9565628308 0.9388418928 7.801358196 5.856984587
173 0.9579520436 0.9408194137 7.814727229 5.865337718
174 0.9593412563 0.9427969347 7.828096263 5.873690848
175 0.960730469 0.9447744556 7.841465296 5.866565539
176 0.9621196817 0.9467519765 7.85483433 5.856412766
177 0.9635088945 0.9487294975 7.868203363 5.875987642
178 0.9648981072 0.9507070184 7.881572397 5.895562519
179 0.9662873199 0.9526845394 7.89494143 5.915137396
180 0.9676765327 0.9546620603 7.908310464 5.934712273
181 0.9690657454 0.9566395812 7.921679497 5.95428715
182 0.9704549581 0.9586171022 7.898323164 5.973862027
183 0.9718441709 0.9605946231 7.896911546 5.993436904
184 0.9732333836 0.9625721441 7.895499928 6.013011781
185 0.9746225963 0.964549665 7.894088311 6.044395891
186 0.976011809 0.9665271859 7.892676693 6.026989308
187 0.9774010218 0.9685047069 7.891265075 6.00649273
188 0.9787902345 0.9704822278 7.889853457 5.985996153
189 0.9801794472 0.9724597487 7.888441839 5.965499576
190 0.98156866 0.9744372697 7.824207805 5.945002998
191 0.9829578727 0.9764147906 7.864499773 5.924506421
192 0.9843470854 0.9783923116 7.904791741 5.900370081
193 0.9857362982 0.9803698325 7.945083709 5.94627134
194 0.9871255109 0.9823473534 7.985375677 5.9921726
195 0.9885147236 0.9843248744 7.932516304 6.038073859
196 0.9899039363 0.9863023953 7.872849328 6.081945759
197 0.9912931491 0.9882799162 7.813182351 6.082821636
198 0.9926823618 0.9902574372 7.750636227 6.083697512
199 0.9940715745 0.9922349581 7.986447804 6.152098946
200 0.9954607873 0.9942124791 8.12093709 6.265817892
201 0.99685 0.99619 7.761658031 6.055737705
data/sec_keylen.csv
+8 -12
View File
@@ -1,13 +1,9 @@
L,d,legit_ser,eve_ser,mask_xcorr,oma
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
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
8,32,0.948557,0.997348,0,0.6849191155
12,48,0.413714,0.999937,0,nan
16,64,0.257299,0.9999905,0,0.2747696909
20,80,0.1874125,0.9998835,0,0.2289444229
24,96,0.1522385,0.99938,0,0.1961714033
32,128,0.107608,0.9997135,0,0.1524639978
48,192,0.0719285,0.9897345,0,0.1054308944
64,256,0.0530375,0.9997025,0,0.08056383667
1 L d legit_ser eve_ser mask_xcorr oma
2 4 8 16 32 0.9997925 0.948557 0.999963 0.997348 0.01188752614 0 0.961963405 0.6849191155
3 6 12 24 48 0.9921175 0.413714 0.9996935 0.999937 0.09415384382 0 nan
4 8 16 32 64 0.9297855 0.257299 0.999972 0.9999905 0.007307400461 0 0.4769767714 0.2747696909
5 10 20 40 80 0.6965535 0.1874125 0.9999585 0.9998835 0.006223429926 0 nan 0.2289444229
6 12 24 48 96 0.416604 0.1522385 0.999781 0.99938 0.005153660662 0 nan 0.1961714033
7 14 32 56 128 0.3323575 0.107608 0.999695 0.9997135 0.005685989745 0 nan 0.1524639978
8 16 48 64 192 0.2762895 0.0719285 0.9999285 0.9897345 0.007116591092 0 0.2747696909 0.1054308944
9 20 64 80 256 0.2076175 0.0530375 0.9996245 0.9997025 0.003162040841 0 0.2289444229 0.08056383667
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
data/sec_sens_cmp.csv
+13 -13
View File
@@ -1,14 +1,14 @@
frac,ser_mask,ser_perm,ser_pad
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
0,0.9999758333,0.9999883333,0.9999886992
0.2,0.9998233333,0.999845,0.9998961502
0.4,0.998725,0.9983133333,0.9990456633
0.6,0.98967125,0.9839833333,0.9912300403
0.75,0.9379629167,0.9079,0.953711875
0.85,0.7883508333,0.75701,0.8596806442
0.9,0.6134920833,0.5836283333,0.7556898116
0.92,0.5265704167,0.5003716667,0.6950201284
0.94,0.43973,0.456195,0.6192843094
0.955,0.3805966667,0.3946716667,0.5503775633
0.97,0.3297841667,0.3282283333,0.4689992019
0.985,0.2895645833,0.2584466667,0.3728919542
1,0.2575758333,0.2577083333,0.25939
1 frac ser_mask ser_perm ser_pad
2 0 0.9999779167 0.9999758333 0.9999883333 0.9999893771 0.9999886992
3 0.2 0.9997833333 0.9998233333 0.9995633333 0.999845 0.9999023796 0.9998961502
4 0.4 0.9984945833 0.998725 0.9950233333 0.9983133333 0.9991029086 0.9990456633
5 0.6 0.9915358333 0.98967125 0.9543866667 0.9839833333 0.9917561005 0.9912300403
6 0.75 0.9643629167 0.9379629167 0.8802716667 0.9079 0.9564884375 0.953711875
7 0.85 0.8872583333 0.7883508333 0.727755 0.75701 0.8680976078 0.8596806442
8 0.9 0.7787070833 0.6134920833 0.5709983333 0.5836283333 0.7703445963 0.7556898116
9 0.92 0.7202866667 0.5265704167 0.502115 0.5003716667 0.7133141438 0.6950201284
10 0.94 0.6145370833 0.43973 0.4848966667 0.456195 0.6421212878 0.6192843094
11 0.955 0.52254125 0.3805966667 0.4416266667 0.3946716667 0.5773478672 0.5503775633
12 0.97 0.4333570833 0.3297841667 0.3520316667 0.3282283333 0.5008509328 0.4689992019
13 0.985 0.3505958333 0.2895645833 0.30335 0.2584466667 0.4105086147 0.3728919542
14 1 0.2758220833 0.2575758333 0.303165 0.2577083333 0.303815 0.25939
data/sec_snr.csv
+11 -11
View File
@@ -1,12 +1,12 @@
snr_db,legit,eve_wrong,eve_none,eve_public,oma,chance
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
0,0.8821684375,0.999989375,0.9999803125,0.8819953125,0.8933480658,0.9999847412
2,0.779363125,0.99999125,0.999980625,0.7794809375,0.7973276257,0.9999847412
4,0.6455015625,0.9999884375,0.9999809375,0.64627375,0.6686275787,0.9999847412
6,0.5016365625,0.9999903125,0.99998,0.5016371875,0.525415822,0.9999847412
8,0.3675334375,0.999989375,0.9999775,0.3677109375,0.3892153151,0.9999847412
10,0.2576425,0.99999375,0.999970625,0.2569871875,0.2747696909,0.9999847412
12,0.1741078125,0.99999,0.9999703125,0.17413125,0.1870712987,0.9999847412
14,0.115345,0.9999853125,0.999966875,0.1151475,0.1241256148,0.9999847412
16,0.0748184375,0.9999846875,0.9999675,0.0747059375,0.08092517452,0.9999847412
18,0.0480371875,0.9999884375,0.9999575,0.0481878125,0.05214810026,0.9999847412
20,0.030745,0.99998875,0.9999559375,0.0308409375,0.03334949917,0.9999847412
1 snr_db legit eve_wrong eve_none eve_public oma chance
2 0 0.8944596875 0.8821684375 0.9999621875 0.999989375 0.999988125 0.9999803125 0.8945528125 0.8819953125 0.8933480658 0.9999847412
3 2 0.79877875 0.779363125 0.9999559375 0.99999125 0.999986875 0.999980625 0.798940625 0.7794809375 0.7973276257 0.9999847412
4 4 0.6697890625 0.6455015625 0.9999446875 0.9999884375 0.99998625 0.9999809375 0.6702265625 0.64627375 0.6686275787 0.9999847412
5 6 0.5269903125 0.5016365625 0.999944375 0.9999903125 0.99999125 0.99998 0.5272609375 0.5016371875 0.525415822 0.9999847412
6 8 0.39087 0.3675334375 0.9999415625 0.999989375 0.999988125 0.9999775 0.39062875 0.3677109375 0.3892153151 0.9999847412
7 10 0.2760796875 0.2576425 0.9999296875 0.99999375 0.999986875 0.999970625 0.2753090625 0.2569871875 0.2747696909 0.9999847412
8 12 0.1876809375 0.1741078125 0.9999203125 0.99999 0.9999884375 0.9999703125 0.1878209375 0.17413125 0.1870712987 0.9999847412
9 14 0.1250471875 0.115345 0.999920625 0.9999853125 0.9999896875 0.999966875 0.12470875 0.1151475 0.1241256148 0.9999847412
10 16 0.0812634375 0.0748184375 0.9999153125 0.9999846875 0.999985625 0.9999675 0.08121 0.0747059375 0.08092517452 0.9999847412
11 18 0.05243375 0.0480371875 0.9999090625 0.9999884375 0.9999865625 0.9999575 0.0526228125 0.0481878125 0.05214810026 0.9999847412
12 20 0.0335228125 0.030745 0.9999196875 0.99998875 0.999988125 0.9999559375 0.033636875 0.0308409375 0.03334949917 0.9999847412