Таблица F6.A-1.3. Свертка 2-х векторов в (A-1)-арифметике

Таблица F6.A-1.3 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T= 4
в поле Галуа

GF( 1 + 226 ) = GF( 1 + 264 ) = GF( F6 )

в (A-1)-арифметике, T^–1 = 1/T = 192. 0. 0. 0. 0. 0. 0. 1
Результаты в A-арифметике в 65-битовых числах = ПСНВ+ mod F6, т.е. в диапазоне [ 0..+264]

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. 0. 0. 0. 0. 2	0. 0. 0. 0. 0. 0. 0. 6	0. 0. 0. 0. 0. 0. 0. 1	0. 0. 0. 0. 0. 0. 0. 3	0. 0. 0. 0. 0. 0. 0. 18	0. 0. 0. 0. 0. 0. 0. 8	0. 0. 0. 0. 0. 0. 0. 2
1	0. 0. 0. 0. 0. 0. 0. 3	0. 0. 0. 3. 0. 0. 0. 1	0. 0. 0. 0. 0. 0. 0. 2	0. 0. 0. 2. 0. 0. 0. 1	0. 0. 0. 4.255.255.255.251	0. 0. 0. 0. 0. 0. 0. 28	0. 0. 0. 0. 0. 0. 0. 7
2	0. 0. 0. 0. 0. 0. 0. 1	0. 0. 0. 0. 0. 0. 0. 0	0. 0. 0. 0. 0. 0. 0. 0	2^64	0. 0. 0. 0. 0. 0. 0. 0	0. 0. 0. 0. 0. 0. 0. 28	0. 0. 0. 0. 0. 0. 0. 7
3	0. 0. 0. 0. 0. 0. 0. 0	255.255.255.253. 0. 0. 0. 2	0. 0. 0. 0. 0. 0. 0. 0	255.255.255.254. 0. 0. 0. 2	255.255.255.250.255.255.255.252	0. 0. 0. 0. 0. 0. 0. 8	0. 0. 0. 0. 0. 0. 0. 2