Таблица F5.A-1.4. Свертка 2-х векторов в (A-1)-арифметике

Таблица F5.A-1.4 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=128
в поле Галуа

GF( 1 + 225 ) = GF( 1 + 232 ) = GF( F5 )

в (A-1)-арифметике, T–1 = 1/T = - 2. 0. 0. 1
Результаты в A-арифметике в 33-битовых числах = ПСАНВ± mod F5, т.е.
в диапазоне [–231..+231]

t
(r)X[t] – вх.Сигнал
(r)X[f]=ЧПФ((r)X[t])
(r)H[t] – вх.Сигнал
(r)H[f]=ЧПФ((r)H[t])
(r)E[f]=(r)X[f]·(r)H[f]
(r)E[t]=оЧПФ((r)E[f])
(r)G[t]=(r)E[t]/T mod F2
   0
 +  0.  0.  0.  2
 +  0.  0.  0. 18
 +  0.  0.  0.  1
 +  0.  0.  0.  3
 +  0.  0.  0. 54
 +  0.  0.  1.  0
 +  0.  0.  0.  2
   1
 +  0.  0.  0. 15
 + 14.255.241.  4
 +  0.  0.  0.  2
 +  1.255.254.  1
 + 22.255.233. 64
 +  0.  0.  9.128
 +  0.  0.  0. 19
   2
 +  0.  0.  0.  1
 +  0.  0.  0. 36
    0.  0.  0.  0
 +  0.  0.  0.  5
 +  0.  0.  0.180
 +  0.  0. 15.128
 +  0.  0.  0. 31
   3
    0.  0.  0.  0
 + 29.255.226. 10
    0.  0.  0.  0
 +  3.255.252.  1
 + 69.255.186.250
 +  0.  0.  1.  0
 +  0.  0.  0.  2
   4
    0.  0.  0.  0
 +  0.  0.  0. 78
    0.  0.  0.  0
 +  0.  0.  0.  9
 +  0.  0.  2.190
    0.  0.  0.  0
    0.  0.  0.  0
   5
    0.  0.  0.  0
 + 59.255.196. 34
    0.  0.  0.  0
 +  7.255.248.  1
 + 75.254.183.225
    0.  0.  0.  0
    0.  0.  0.  0
   6
    0.  0.  0.  0
 +  0.  0.  0.186
    0.  0.  0.  0
 +  0.  0.  0. 17
 +  0.  0. 12. 90
    0.  0.  0.  0
    0.  0.  0.  0
   7
    0.  0.  0.  0
 +119.255.136.130
    0.  0.  0.  0
 + 15.255.240.  1
 -104.  8.136.136
    0.  0.  0.  0
    0.  0.  0.  0
   8
    0.  0.  0.  0
 +  0.  0.  1.242
    0.  0.  0.  0
 +  0.  0.  0. 33
 +  0.  0. 64. 50
    0.  0.  0.  0
    0.  0.  0.  0
   9
    0.  0.  0.  0
 - 16.  0.238.  0
    0.  0.  0.  0
 + 31.255.224.  1
 + 47.191. 13.193
    0.  0.  0.  0
    0.  0.  0.  0
  10
    0.  0.  0.  0
 +  0.  0.  5.226
    0.  0.  0.  0
 +  0.  0.  0. 65
 +  0.  1.126. 98
    0.  0.  0.  0
    0.  0.  0.  0
  11
    0.  0.  0.  0
 - 32.  1.216.  1
    0.  0.  0.  0
 + 63.255.192.  1
 + 93.254.150.  0
    0.  0.  0.  0
    0.  0.  0.  0
  12
    0.  0.  0.  0
 +  0.  0. 19.194
    0.  0.  0.  0
 +  0.  0.  0.129
 +  0.  9.244.194
    0.  0.  0.  0
    0.  0.  0.  0
  13
    0.  0.  0.  0
 - 64.  3.160.  3
    0.  0.  0.  0
 +127.255.128.  1
 - 80.  0.240.  4
    0.  0.  0.  0
    0.  0.  0.  0
  14
    0.  0.  0.  0
 +  0.  0. 71.130
    0.  0.  0.  0
 +  0.  0.  1.  1
 +  0. 71.201.130
    0.  0.  0.  0
    0.  0.  0.  0
  15
    0.  0.  0.  0
 +127.248.255.251
    0.  0.  0.  0
 -  0.  1.  0.  1
 +  0.  5.127.249
    0.  0.  0.  0
    0.  0.  0.  0
  16
    0.  0.  0.  0
 +  0.  1. 15.  2
    0.  0.  0.  0
 +  0.  0.  2.  1
 +  2. 31. 19.  2
    0.  0.  0.  0
    0.  0.  0.  0
  17
    0.  0.  0.  0
 -  0. 13.  0. 14
    0.  0.  0.  0
 -  0.  2.  0.  2
 +  0. 38.255.243
    0.  0.  0.  0
    0.  0.  0.  0
  18
    0.  0.  0.  0
 +  0.  4. 30.  2
    0.  0.  0.  0
 +  0.  0.  4.  1
 + 16.124. 38.  2
    0.  0.  0.  0
    0.  0.  0.  0
  19
    0.  0.  0.  0
 -  0. 22.  0. 29
    0.  0.  0.  0
 -  0.  4.  0.  4
 +  0.177.255.252
    0.  0.  0.  0
    0.  0.  0.  0
  20
    0.  0.  0.  0
 +  0. 16. 60.  2
    0.  0.  0.  0
 +  0.  0.  8.  1
 -126. 15.180.  0
    0.  0.  0.  0
    0.  0.  0.  0
  21
    0.  0.  0.  0
 -  0. 28.  0. 59
    0.  0.  0.  0
 -  0.  8.  0.  8
 +  2.148.  0.182
    0.  0.  0.  0
    0.  0.  0.  0
  22
    0.  0.  0.  0
 +  0. 64.120.  2
    0.  0.  0.  0
 +  0.  0. 16.  1
 +  7.192.151.254
    0.  0.  0.  0
    0.  0.  0.  0
  23
    0.  0.  0.  0
 +  0.  7.255.138
    0.  0.  0.  0
 -  0. 16.  0. 16
 +  6.232.  7.106
    0.  0.  0.  0
    0.  0.  0.  0
  24
    0.  0.  0.  0
 +  1.  0.240.  2
    0.  0.  0.  0
 +  0.  0. 32.  1
 + 31.  1. 47.226
    0.  0.  0.  0
    0.  0.  0.  0
  25
    0.  0.  0.  0
 +  1. 15.255. 18
    0.  0.  0.  0
 -  0. 32.  0. 32
 -  3. 47.193. 47
    0.  0.  0.  0
    0.  0.  0.  0
  26
    0.  0.  0.  0
 +  4.  1.224.  2
    0.  0.  0.  0
 +  0.  0. 64.  1
 +124.  2. 95.  2
    0.  0.  0.  0
    0.  0.  0.  0
  27
    0.  0.  0.  0
 +  6. 31.254. 34
    0.  0.  0.  0
 -  0. 64.  0. 64
 - 10. 94.  2. 94
    0.  0.  0.  0
    0.  0.  0.  0
  28
    0.  0.  0.  0
 + 16.  3.192.  2
    0.  0.  0.  0
 +  0.  0.128.  1
 - 15.251. 72.  1
    0.  0.  0.  0
    0.  0.  0.  0
  29
    0.  0.  0.  0
 + 28. 63.252. 66
    0.  0.  0.  0
 -  0.128.  0.128
 - 36.176.  4.179
    0.  0.  0.  0
    0.  0.  0.  0
  30
    0.  0.  0.  0
 + 64.  7.128.  2
    0.  0.  0.  0
 +  0.  1.  0.  1
 - 63.246.192.  7
    0.  0.  0.  0
    0.  0.  0.  0
  31
    0.  0.  0.  0
 +120.127.248.130
    0.  0.  0.  0
 -  1.  0.  1.  0
 +118.255.246.243
    0.  0.  0.  0
    0.  0.  0.  0
  32
    0.  0.  0.  0
 +  0. 15.  0.  1
    0.  0.  0.  0
 +  0.  2.  0.  1
 +  0. 16.255.227
    0.  0.  0.  0
    0.  0.  0.  0
  33
    0.  0.  0.  0
 - 15.  0. 15.  1
    0.  0.  0.  0
 -  2.  0.  2.  0
 - 15.  0. 15. 61
    0.  0.  0.  0
    0.  0.  0.  0
  34
    0.  0.  0.  0
 +  0. 29.255.254
    0.  0.  0.  0
 +  0.  4.  0.  1
 +  0. 21.255.134
    0.  0.  0.  0
    0.  0.  0.  0
  35
    0.  0.  0.  0
 - 30.  0. 30.  7
    0.  0.  0.  0
 -  4.  0.  4.  0
 -  6.  0.  6.247
    0.  0.  0.  0
    0.  0.  0.  0
  36
    0.  0.  0.  0
 +  0. 59.255.242
    0.  0.  0.  0
 +  0.  8.  0.  1
 -  0. 52.  1.239
    0.  0.  0.  0
    0.  0.  0.  0
  37
    0.  0.  0.  0
 - 60.  0. 60. 31
    0.  0.  0.  0
 -  8.  0.  8.  0
 - 75.255. 79.224
    0.  0.  0.  0
    0.  0.  0.  0
  38
    0.  0.  0.  0
 +  0.119.255.194
    0.  0.  0.  0
 +  0. 16.  0.  1
 -  3.104.  7.191
    0.  0.  0.  0
    0.  0.  0.  0
  39
    0.  0.  0.  0
 -120.  0.120.127
    0.  0.  0.  0
 - 16.  0. 16.  0
 +104.  7. 88.123
    0.  0.  0.  0
    0.  0.  0.  0
  40
    0.  0.  0.  0
 +  0.239.255.  2
    0.  0.  0.  0
 +  0. 32.  0.  1
 - 30.208. 30.255
    0.  0.  0.  0
    0.  0.  0.  0
  41
    0.  0.  0.  0
 + 15.255. 14.  3
    0.  0.  0.  0
 - 32.  0. 32.  0
 - 47.193.110. 62
    0.  0.  0.  0
    0.  0.  0.  0
  42
    0.  0.  0.  0
 +  1.223.252.  2
    0.  0.  0.  0
 +  0. 64.  0.  1
 +  2. 95.132.  3
    0.  0.  0.  0
    0.  0.  0.  0
  43
    0.  0.  0.  0
 + 31.254. 24.  4
    0.  0.  0.  0
 - 64.  0. 64.  0
 - 94.  3. 89.253
    0.  0.  0.  0
    0.  0.  0.  0
  44
    0.  0.  0.  0
 +  3.191.240.  2
    0.  0.  0.  0
 +  0.128.  0.  1
 +  4.190. 16. 10
    0.  0.  0.  0
    0.  0.  0.  0
  45
    0.  0.  0.  0
 + 63.252. 32.  6
    0.  0.  0.  0
 +127.255.128.  2
 + 79.247. 80.  7
    0.  0.  0.  0
    0.  0.  0.  0
  46
    0.  0.  0.  0
 +  7.127.192.  2
    0.  0.  0.  0
 +  1.  0.  0.  1
 +  9.120. 64. 66
    0.  0.  0.  0
    0.  0.  0.  0
  47
    0.  0.  0.  0
 +127.248.  0. 10
    0.  0.  0.  0
 -  0.  0.255.255
 -  0. 25.127.246
    0.  0.  0.  0
    0.  0.  0.  0
  48
    0.  0.  0.  0
 + 14.255.  0.  2
    0.  0.  0.  0
 +  2.  0.  0.  1
 + 18.225.  2.  2
    0.  0.  0.  0
    0.  0.  0.  0
  49
    0.  0.  0.  0
 -  0. 16.255.240
    0.  0.  0.  0
 -  0.  1.255.254
 -  0. 84.255.240
    0.  0.  0.  0
    0.  0.  0.  0
  50
    0.  0.  0.  0
 + 29.252.  0.  2
    0.  0.  0.  0
 +  4.  0.  0.  1
 + 37.132. 16.  2
    0.  0.  0.  0
    0.  0.  0.  0
  51
    0.  0.  0.  0
 -  0. 37.255.225
    0.  0.  0.  0
 -  0.  3.255.252
 -  1. 61.255.249
    0.  0.  0.  0
    0.  0.  0.  0
  52
    0.  0.  0.  0
 + 59.240.  0.  2
    0.  0.  0.  0
 +  8.  0.  0.  1
 + 74. 16.128.  2
    0.  0.  0.  0
    0.  0.  0.  0
  53
    0.  0.  0.  0
 -  0. 91.255.195
    0.  0.  0.  0
 -  0.  7.255.248
 -  5. 44.  0.179
    0.  0.  0.  0
    0.  0.  0.  0
  54
    0.  0.  0.  0
 +119.192.  0.  2
    0.  0.  0.  0
 + 16.  0.  0.  1
 -111.188.  0.  0
    0.  0.  0.  0
    0.  0.  0.  0
  55
    0.  0.  0.  0
 -  0.247.255.135
    0.  0.  0.  0
 -  0. 15.255.240
 - 24. 24.  7.103
    0.  0.  0.  0
    0.  0.  0.  0
  56
    0.  0.  0.  0
 - 17.  0.  0.  0
    0.  0.  0.  0
 + 32.  0.  0.  1
 + 17. 32.  0.  1
    0.  0.  0.  0
    0.  0.  0.  0
  57
    0.  0.  0.  0
 -  2.239.255. 15
    0.  0.  0.  0
 -  0. 31.255.224
 -127. 48. 62.207
    0.  0.  0.  0
    0.  0.  0.  0
  58
    0.  0.  0.  0
 - 36.  0.  0.  1
    0.  0.  0.  0
 + 64.  0.  0.  1
 - 27.  0.  0.  1
    0.  0.  0.  0
    0.  0.  0.  0
  59
    0.  0.  0.  0
 -  9.223.254. 31
    0.  0.  0.  0
 -  0. 63.255.192
 +  5.158.  2.101
    0.  0.  0.  0
    0.  0.  0.  0
  60
    0.  0.  0.  0
 - 80.  0.  0.  3
    0.  0.  0.  0
 -128.  0.  0.  1
 - 40.  0.  0.  2
    0.  0.  0.  0
    0.  0.  0.  0
  61
    0.  0.  0.  0
 - 35.191.252. 63
    0.  0.  0.  0
 -  0.127.255.128
 + 27. 48.  4.214
    0.  0.  0.  0
    0.  0.  0.  0
  62
    0.  0.  0.  0
 + 63.255.255.251
    0.  0.  0.  0
    0.  0.  0.  0
    0.  0.  0.  0
    0.  0.  0.  0
    0.  0.  0.  0
  63
    0.  0.  0.  0
 +120.128.  7.131
    0.  0.  0.  0
 -  0.255.255.  0
 +118.  0. 10. 18
    0.  0.  0.  0
    0.  0.  0.  0
  64
    0.  0.  0.  0
 -  0.  0.  0. 13
    0.  0.  0.  0
 -  0.  0.  0.  2
 +  0.  0.  0. 12
    0.  0.  0.  0
    0.  0.  0.  0
  65
    0.  0.  0.  0
 - 14.255.240.253
    0.  0.  0.  0
 -  1.255.254.  0
 - 22.255.232.193
    0.  0.  0.  0
    0.  0.  0.  0
  66
    0.  0.  0.  0
 -  0.  0.  0. 25
    0.  0.  0.  0
 -  0.  0.  0.  4
 +  0.  0.  0. 72
    0.  0.  0.  0
    0.  0.  0.  0
  67
    0.  0.  0.  0
 - 29.255.225.247
    0.  0.  0.  0
 -  3.255.252.  0
 - 69.255.185.  7
    0.  0.  0.  0
    0.  0.  0.  0
  68
    0.  0.  0.  0
 -  0.  0.  0. 43
    0.  0.  0.  0
 -  0.  0.  0.  8
 +  0.  0.  1. 38
    0.  0.  0.  0
    0.  0.  0.  0
  69
    0.  0.  0.  0
 - 59.255.195.223
    0.  0.  0.  0
 -  7.255.248.  0
 - 75.254.176. 30
    0.  0.  0.  0
    0.  0.  0.  0
  70
    0.  0.  0.  0
 -  0.  0.  0. 55
    0.  0.  0.  0
 -  0.  0.  0. 16
 +  0.  0.  3. 42
    0.  0.  0.  0
    0.  0.  0.  0
  71
    0.  0.  0.  0
 -119.255.135.127
    0.  0.  0.  0
 - 15.255.240.  0
 +104.  8.167.139
    0.  0.  0.  0
    0.  0.  0.  0
  72
    0.  0.  0.  0
 +  0.  0.  0. 18
    0.  0.  0.  0
 -  0.  0.  0. 32
 -  0.  0.  2. 47
    0.  0.  0.  0
    0.  0.  0.  0
  73
    0.  0.  0.  0
 + 16.  0.242.  3
    0.  0.  0.  0
 - 31.255.224.  0
 - 47.190.145.190
    0.  0.  0.  0
    0.  0.  0.  0
  74
    0.  0.  0.  0
 +  0.  0.  2. 34
    0.  0.  0.  0
 -  0.  0.  0. 64
 -  0.  0.134. 95
    0.  0.  0.  0
    0.  0.  0.  0
  75
    0.  0.  0.  0
 + 32.  1.232.  4
    0.  0.  0.  0
 - 63.255.192.  0
 - 93.252.165.253
    0.  0.  0.  0
    0.  0.  0.  0
  76
    0.  0.  0.  0
 +  0.  0. 12. 66
    0.  0.  0.  0
 -  0.  0.  0.128
 -  0.  6. 20.191
    0.  0.  0.  0
    0.  0.  0.  0
  77
    0.  0.  0.  0
 + 64.  3.224.  6
    0.  0.  0.  0
 -127.255.128.  0
 + 80.  8.176.  7
    0.  0.  0.  0
    0.  0.  0.  0
  78
    0.  0.  0.  0
 +  0.  0. 56.130
    0.  0.  0.  0
 -  0.  0.  1.  0
 -  0. 56. 73.127
    0.  0.  0.  0
    0.  0.  0.  0
  79
    0.  0.  0.  0
 -127.247.255.248
    0.  0.  0.  0
 +  0.  1.  0.  2
 +  0. 25.128. 11
    0.  0.  0.  0
    0.  0.  0.  0
  80
    0.  0.  0.  0
 +  0.  0.241.  2
    0.  0.  0.  0
 -  0.  0.  2.  0
 -  1.225. 18.255
    0.  0.  0.  0
    0.  0.  0.  0
  81
    0.  0.  0.  0
 +  0. 17.  0. 17
    0.  0.  0.  0
 +  0.  2.  0.  3
 +  0. 85.  0. 17
    0.  0.  0.  0
    0.  0.  0.  0
  82
    0.  0.  0.  0
 +  0.  3.226.  2
    0.  0.  0.  0
 -  0.  0.  4.  0
 - 15.132. 37.255
    0.  0.  0.  0
    0.  0.  0.  0
  83
    0.  0.  0.  0
 +  0. 38.  0. 32
    0.  0.  0.  0
 +  0.  4.  0.  5
 +  1. 62.  0.  8
    0.  0.  0.  0
    0.  0.  0.  0
  84
    0.  0.  0.  0
 +  0. 15.196.  2
    0.  0.  0.  0
 -  0.  0.  8.  0
 -126. 16. 75.255
    0.  0.  0.  0
    0.  0.  0.  0
  85
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  86
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  87
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  89
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 100
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 101
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 102
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 103
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 104
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 105
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 106
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 107
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 108
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 109
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 110
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 111
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 112
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 113
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 114
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 115
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 116
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 117
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 118
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 119
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 120
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 121
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 122
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 123
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 124
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 125
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 126
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 127
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© 2006 г., Александр Тимофеев, г.Харьков, Украина. E-mail: atimopheyev@yahoo.com