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Таблица F5.A-1.2 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=64 GF( 1 + 225 ) = GF( 1 + 232 ) = GF( F5 ) в (A-1)-арифметике, T-1 = 1/T = -67108865 Результаты в A-арифметике в ПСАНВ± mod F5, т.е. в диапазоне [–231..+231] |
| t |
(r)X[t] вх.Сигнал |
(r)X[f]= |
(r)H[t] вх.Сигнал |
(r)H[f]= |
(r)E[f]= |
(r)E[t]= |
(r)G[t]= |
| 0 | 2 | 18 | 1 | 3 | 54 | 128 | 2 |
| 1 | 15 | 36 | 2 | 5 | 180 | 1216 | 19 |
| 2 | 1 | 78 | 0 | 9 | 702 | 1984 | 31 |
| 3 | 0 | 186 | 0 | 17 | 3162 | 128 | 2 |
| 4 | 0 | 498 | 0 | 33 | 16434 | 0 | 0 |
| 5 | 0 | 1506 | 0 | 65 | 97890 | 0 | 0 |
| 6 | 0 | 5058 | 0 | 129 | 652482 | 0 | 0 |
| 7 | 0 | 18306 | 0 | 257 | 4704642 | 0 | 0 |
| 8 | 0 | 69378 | 0 | 513 | 35590914 | 0 | 0 |
| 9 | 0 | 269826 | 0 | 1025 | 276571650 | 0 | 0 |
| 10 | 0 | 1063938 | 0 | 2049 | -2114958336 | 0 | 0 |
| 11 | 0 | 4225026 | 0 | 4097 | 130062334 | 0 | 0 |
| 12 | 0 | 16838658 | 0 | 8193 | 520171490 | 0 | 0 |
| 13 | 0 | 67231746 | 0 | 16385 | 2080530178 | 0 | 0 |
| 14 | 0 | 268681218 | 0 | 32769 | -268126209 | 0 | 0 |
| 15 | 0 | 1074233346 | 0 | 65537 | -1073135623 | 0 | 0 |
| 16 | 0 | 983041 | 0 | 131073 | 1114083 | 0 | 0 |
| 17 | 0 | 1966078 | 0 | 262145 | 1441670 | 0 | 0 |
| 18 | 0 | 3932146 | 0 | 524289 | -3408367 | 0 | 0 |
| 19 | 0 | 7864258 | 0 | 1048577 | -57149375 | 0 | 0 |
| 20 | 0 | 15728386 | 0 | 2097153 | -516955903 | 0 | 0 |
| 21 | 0 | 31456258 | 0 | 4194305 | 39814147 | 0 | 0 |
| 22 | 0 | 62910466 | 0 | 8388609 | 79564810 | 0 | 0 |
| 23 | 0 | 125812738 | 0 | 16777217 | 158875714 | 0 | 0 |
| 24 | 0 | 251592706 | 0 | 33554433 | 316736002 | 0 | 0 |
| 25 | 0 | 503054338 | 0 | 67108865 | 629411842 | 0 | 0 |
| 26 | 0 | 1005584386 | 0 | 134217729 | 1242595330 | 0 | 0 |
| 27 | 0 | 2009071618 | 0 | 268435457 | -1874591744 | 0 | 0 |
| 28 | 0 | -285212672 | 0 | 536870913 | 287309825 | 0 | 0 |
| 29 | 0 | -603979777 | 0 | 1073741825 | -452984833 | 0 | 0 |
| 30 | 0 | -1342177283 | 0 | 2147483647 | -671088642 | 0 | 0 |
| 31 | 0 | 1073741819 | 0 | 0 | 0 | 0 | 0 |
| 32 | 0 | -13 | 0 | -2 | 12 | 0 | 0 |
| 33 | 0 | -25 | 0 | -4 | 72 | 0 | 0 |
| 34 | 0 | -43 | 0 | -8 | 294 | 0 | 0 |
| 35 | 0 | -55 | 0 | -16 | 810 | 0 | 0 |
| 36 | 0 | 18 | 0 | -32 | -559 | 0 | 0 |
| 37 | 0 | 546 | 0 | -64 | -34399 | 0 | 0 |
| 38 | 0 | 3138 | 0 | -128 | -398527 | 0 | 0 |
| 39 | 0 | 14466 | 0 | -256 | -3688831 | 0 | 0 |
| 40 | 0 | 61698 | 0 | -512 | -31527679 | 0 | 0 |
| 41 | 0 | 254466 | 0 | -1024 | -260318719 | 0 | 0 |
| 42 | 0 | 1033218 | 0 | -2048 | -2114997247 | 0 | 0 |
| 43 | 0 | 4163586 | 0 | -4096 | 129984518 | 0 | 0 |
| 44 | 0 | 16715778 | 0 | -8192 | 520015906 | 0 | 0 |
| 45 | 0 | 66985986 | 0 | -16384 | 2080219394 | 0 | 0 |
| 46 | 0 | 268189698 | 0 | -32768 | -268744705 | 0 | 0 |
| 47 | 0 | 1073250306 | 0 | -65536 | -1074348039 | 0 | 0 |
| 48 | 0 | -983040 | 0 | -131072 | -1114142 | 0 | 0 |
| 49 | 0 | -1966083 | 0 | -262144 | -1441915 | 0 | 0 |
| 50 | 0 | -3932175 | 0 | -524288 | 3407378 | 0 | 0 |
| 51 | 0 | -7864383 | 0 | -1048576 | 57145410 | 0 | 0 |
| 52 | 0 | -15728895 | 0 | -2097152 | 516940034 | 0 | 0 |
| 53 | 0 | -31458303 | 0 | -4194304 | -39877632 | 0 | 0 |
| 54 | 0 | -62918655 | 0 | -8388608 | -79818759 | 0 | 0 |
| 55 | 0 | -125845503 | 0 | -16777216 | -159891519 | 0 | 0 |
| 56 | 0 | -251723775 | 0 | -33554432 | -320799231 | 0 | 0 |
| 57 | 0 | -503578623 | 0 | -67108864 | -645664767 | 0 | 0 |
| 58 | 0 | -1007681535 | 0 | -134217728 | -1307607039 | 0 | 0 |
| 59 | 0 | -2017460223 | 0 | -268435456 | 1614544899 | 0 | 0 |
| 60 | 0 | 251658243 | 0 | -536870912 | -1327497214 | 0 | 0 |
| 61 | 0 | 469762052 | 0 | -1073741824 | 587202565 | 0 | 0 |
| 62 | 0 | 805306374 | 0 | -2147483648 | 1207959561 | 0 | 0 |
| 63 | 0 | 1073741834 | 0 | 2 | -2147483630 | 0 | 0 |