Комбинированные генераторы FCSR

Эти генераторы используют переменное количество LFSR и/или FCSR и множество функций, объединяющих регистры. Операция XOR разрушает алгебраические свойства FCSR, поэтому имеет смысл использовать эту операцию для их объединения. Генератор, показанный на Рис. 17-5, использует переменное число FCSR. Его выходом является XOR выходов отдельных FCSR.

Другими генераторами, являющимися развитием аналогичных линий, являются:

— Генератор четности FCSR. Все регистры - FCSR, а объединяющая функция - XOR.

— Генератор четности LFSR/FCSR. Используется смесь LFSR и FCSR, объединяемых с помощью XOR.

— Пороговый генератор FCSR. Все регистры - FCSR, а объединяющей функцией является мажорирование.

— Пороговый генератор LFSR/FCSR. Используется смесь LFSR и FCSR, объединяемых с помощью мажорирования.

— Суммирующий генератор FCSR. Все регистры - FCSR, а объединяющая функция - сложение с переносом.

— Суммирующий генератор LFSR/FCSR. Используется смесь LFSR и FCSR, объединяемых с помощью сложения с переносом.

Табл. 17-1.
Целые значения связи для FCSR с максимальным периодом

Табл. 17-2.
Отводные последовательности для FCSR максимальной длины

(32, 6, 3, 2)

(32, 7, 5, 2)

(32, 8, 3, 2)

(32, 13, 8, 2)

(32, 13, 12, 2)

(32, 15, 6, 2)

(32, 16, 2, 1)

(32, 16, 3, 2)

(32, 16, 5, 2)

(32, 17, 5, 2)

(32, 19, 2, 1)

(32, 19, 5, 2)

(32, 19, 9, 2)

(32, 19, 12, 2)

(32, 19, 17, 2)

(32, 20, 17, 2)

(32, 21, 9, 2)

(32, 21, 15, 2)

(32,23,8,2)

(32, 23, 21, 2)

(32, 25, 5, 2)

(32, 25, 12, 2)

(32,27,25,2)

(32, 29, 19, 2)

(32, 29, 20, 2)

(32, 30, 3, 2)

(32, 30, 7, 2)

(32, 31, 5, 2)

(32, 31, 9, 2)

(32, 31, 30, 2)

(64, 3, 2, 1)

(64,14,3,2)

(64,15,8,2)

(64, 17, 2, 1)

(64, 17, 9, 2)

(64, 17, 16, 2)

(64, 19, 2, 1)

(64, 19, 18, 2)

(64, 24, 19, 2)

(64, 25, 3, 2)

(64,25,4,2)

(64, 25, 1 1, 2)

(64, 25, 19, 2)

(64, 27, 5, 2)

(64, 27, 16, 2)

(64, 27, 22, 2)

(64, 28, 19, 2)

(64, 28, 25, 2)

(64, 29, 16, 2)

(64, 29, 28, 2)

(64, 31, 12, 2)

(64, 32, 21, 2)

(64, 35, 29, 2)

(64, 36, 7, 2)

(64, 37, 2, 1)

(64, 37, 1 1, 2)

(64,39,4,2)

(64, 39, 25, 2)

(64, 41, 5, 2)

(64, 41, 1 1, 2)

(64,41,27,2)

(64, 43, 21, 2)

(64, 43, 28, 2)

(64, 45, 28, 2)

(64, 45, 41, 2)

(64, 47, 5, 2)

(64, 47, 21, 2)

(64, 47, 30, 2)

(64, 49, 19, 2)

(64, 49, 20, 2)

(64,52,29,2)

(64,53,8,2)

(64, 53, 43, 2)

(64, 56, 39, 2)

(64, 56, 45, 2)

(64, 59, 5, 2)

(64, 59, 8, 2)

(64, 59, 28, 2)

(64, 59, 38, 2)

(64,59,44,2)

(64, 60, 49, 2)

(64, 61, 51, 2)

(64, 63, 8, 2)

(64, 63, 13, 2)

(64, 63, 61, 2)

(96, 15, 5. 2)

(96, 21, 17, 2)

(96, 25, 19, 2)

(96, 25, 20, 2)

(96, 29, 15, 2)

(96, 29, 17, 2)

(96, 30, 3, 2)

(96, 32, 21, 2)

(96, 32, 27, 2)

(96,33,5,2)

(96, 35, 17, 2)

(96, 35, 33, 2)

(96, 39, 21, 2)

(96,40,25,2)

(96, 41, 12, 2)

(96, 41, 27, 2)

(96, 41, 35, 2)

(96, 42, 35, 2)

(96, 43, 14, 2)

(96, 44, 23, 2)

(96, 45, 41, 2)

(96, 47, 36, 2)

(96, 49, 31, 2)

(96,51,30,2)

(96,53,17,2)

(96, 53, 19, 2)

(96, 53, 32, 2)

(96, 53, 48, 2)

(96, 54, 15, 2)

(96, 55, 44, 2)

(96, 55, 53, 2)

(96, 56, 9, 2)

(96,56,51,2)

(96, 57, 3, 2)

(96, 57, 17, 2)

(96, 57, 47, 2)

(96, 58, 35, 2)

(96, 59, 46, 2)

(96, 60, 29, 2)

(96, 60, 41, 2)

(96, 60, 45, 2)

(96, 61, 17, 2)

(96, 63, 20, 2)

(96, 65, 12, 2)

(96, 65, 39, 2)

(96, 65, 51, 2)

(96, 67, 5, 2)

(96, 67, 25, 2)

(96,67,34,2)

(96, 68, 5, 2)

(96, 68, 19, 2)

(96, 69, 17, 2)

(96,69,36,2)

(96, 70, 23, 2)

(96, 71, 6, 2)

(96, 71, 40, 2)

(96, 72, 53, 2)

(96, 73, 32, 2)

(96, 77, 27, 2)

(96, 77, 31, 2)

(96, 77, 32, 2)

(96, 77, 33, 2)

(96,77,71,2)

(96,78,39,2)

(96, 79, 4, 2)

(96, 81, 80, 2)

(96, 83, 14, 2)

(96, 83, 26, 2)

(96, 83, 54, 2)

(96, 83, 60, 2)

(96, 83, 65, 2)

(96, 83, 78, 2)

(96, 84, 65, 2)

(96, 85, 17, 2)

(96, 85, 31, 2)

(96, 85, 76, 2)

(96,85,79,2)

(96,86,39,2)

(96,86,71,2)

(96, 87, 9, 2)

(96, 87, 44, 2)

(96, 87, 45, 2)

(96, 88, 19, 2)

(96, 88, 35, 2)

(96, 88, 43, 2)

(96,88,79,2)

(96, 89, 35, 2)

(96, 89, 51, 2)

(96, 89, 69, 2)

(96, 89, 87, 2)

(96, 92, 51, 2)

(96,92,71,2)

(96, 93, 32, 2)

(96, 93, 39, 2)

(96, 94, 35, 2)

(96, 95, 4, 2)

(96, 95, 16, 2)

(96, 95, 32, 2)

(96, 95, 44, 2)

(96, 95, 45, 2)

(128, 5, 4, 2)

(128, 15, 4, 2)

(128, 21, 19, 2)

(128, 25, 5, 2)

(128, 26, 11, 2)

(128,27,25,2)

(128, 31, 25, 2)

(128, 33, 21, 2)

(128, 35, 22, 2)

(128, 37, 8, 2)

(128, 41, 12, 2)

(128, 42, 35, 2)

(128, 43, 25, 2)

(128,43,42,2)

(128,45,17,2)

(128,45,27,2)

(128, 49, 9, 2)

(128, 51, 9, 2)

(128, 54, 51, 2)

(128, 55, 45, 2)

(128, 56, 15, 2)

(128, 56, 19, 2)

(128,56,55,2)

(128, 57, 21, 2)

(128, 57, 37, 2)

(128, 59, 29, 2)

(128, 59, 49, 2)

(128, 60, 57, 2)

(128,61,9,2)

(128, 61, 23, 2)

(128, 61, 52, 2)

(128, 63, 40, 2)

(128, 63, 62, 2)

(128, 67, 41, 2)

(128, 69, 33, 2)

(128, 71, 53, 2)

(128, 72, 15, 2)

(128,72,41,2)

(128, 73, 5, 2)

(128, 73, 65, 2)

(128, 73, 67, 2)

(128, 75, 13, 2)

(128, 80, 39, 2)

(128,80,53,2)

(128, 81, 55, 2)

(128, 82, 67, 2)

(128, 83, 60, 2)

(128, 83, 61, 2)

(128, 83, 77, 2)

(128, 84, 15, 2)

(128, 84, 43, 2)

(128,85,63,2)

(128,87,57,2)

(128,87,81,2)

(128, 89, 81, 2)

(128, 90, 43, 2)

(128, 91, 9, 2)

(128, 91, 13, 2)

(128, 91, 44, 2)

(128, 92, 35, 2)

(128,95,94,2)

(128, 96, 23, 2)

(128, 96, 61, 2)

(128, 97, 25, 2)

(128, 97, 68, 2)

(128, 97, 72, 2)

(128,97,75,2)

(128, 99, 13, 2)

(128, 99, 14, 2)

(128, 99, 26, 2)

(128, 99, 54, 2)

(128, 99, 56, 2)

(128, 99, 78, 2)

(128, 100, 13, 2)

(128, 100, 39, 2)

(128,101,44,2)

(128, 101, 97, 2)

(128, 103, 46, 2)

(128, 104, 13, 2)

(128, 104, 19, 2)

(128, 104, 35, 2)

(128,105,7,2)

(128, 105, 11, 2)

(128, 105, 31, 2)

(128, 105, 48, 2)

(128, 107, 40, 2)

(128, 107, 62, 2)

(128, 107, 102, 2)

(128, 108, 35, 2)

(128,108,73,2)

(128,108,75,2)

(128,108,89,2)

(128, 109, 1 1, 2)

(128, 109, 108, 2)

(128, 1 10, 23, 2)

(128, Ill, 61, 2)

(128, 113, 59, 2)

(128, 114, 83, 2)

(128,115,73,2)

(128, 117, 105, 2)

(128, 119, 30, 2)

(128, 119, 101, 2)

(128, 120, 9, 2)

(128, 120, 27, 2)

(128,120,37,2)

(128, 120, 41, 2)

(128, 120, 79, 2)

(128, 120, 81, 2)

(128, 121, 5, 2)

(128, 121, 67, 2)

(128, 121, 95, 2)

(128, 121, 96, 2)

(128, 123, 40, 2)

(128,123,78,2)

(128, 124, 41, 2)

(128, 124, 69, 2)

(128, 124, 81, 2)

(128, 125, 33, 2)

(128, 125, 43, 2)

(128,127,121,2)

Рис. 17-5. Комбинированные генераторы.