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BY (11) 8859
(13) C1
(46) 2007.02.28
(19)
(12)
7
(51) G 06F 7/00,
H 03K 19/20, 19/01
(54)
(21)
(22) 2004.10.27
(43) 2005.06.30
(71)
:
: a 20040996
(73)
(BY)
(BY)
(72)
:
:
(BY)
;
(56) BY 3031 C1, 1999.
BY 3300 C1, 2000.
BY 2119 C1, 1998.
RU 2047892 C1, 1995.
RU 2047894 C1, 1995.
SU 1517017 A1, 1989.
JP 55004691 A, 1980.
(57)
,
(i = 1,2)
, i-
i-
, ii-
,
,
BY 8859 C1 2007.02.28
j-
,
(j = 1,9 )
j-
,
-
BY 8859 C1 2007.02.28
k-
(k = 1,2,3)
k-
,
,
k-
(k + 3)-
,
-
,
, (i + 3)i-
ki-
(k + 6)-
,
,
,
,
, i(i + 1), (i + 1)-
, (i + 1)i-
,
-
,
,
,
.
.
(3, 3),
-
,
,
[1].
.
-
(2, 2),
,
)
(
[2].
(
)
.
,
.
,
,
,
,
.
,
,
6τ,
,
.
-
τ-
,
.
.
.
, i-
(i = 1, 2)
i-
-
, ii-
.
,
,
.
jk-
( j = 1,9 )
(k = 1, 2, 3)
,
2
jk-
.
BY 8859 C1 2007.02.28
(k + 3)-
k-
(k + 6)-
,
.
,
-
k-
(i + 3)i-
i.
,
,
,
.
i-
(i + 1), (i + 1)-
, (i + 1)i-
.
,
-
.
,
.
.1
.
,
15
17
14
16
15
17
18
22-30
14),
16),
19,
20
21,
31.
.
: G sh = (h, h,…, h) h∈{0,1},
G 0h ≡∅.
F = F(X), X = ( 1,
s,
2,…,
-
n),
(
.),
X.
.F
1
0
π(F) = (π , π1,…, πn),
π i = F G i , G n −i , 0 ≤ i ≤ n.
(
.),
,
f
1
2
,
1
2.
: 1 = ( 1, 2,…, m), X2 = (xm+l, xm+2,…, xn), 1 ≤ m < n.
,
.f
n
-
(
f = f(X)
X
)
|X1| = m, |X2| = n-m
(m, n-m).
. f = f(X) = f(X1, X2),
(m, n-m),
C(f),
L = (m + 1)(n - m + 1)
:
00
01
0,n-m
C(f) = (C , C ,…, C
, C10, C11,…, C1,n-m,…, Cm0, Cm1,…, Cm,n-m),
C ij = f (G 1i , G 0m−i , G 1j , G 0n −m− j ), 0≤i≤m, 0≤j≤n-m.
.
(m, n-m)
2L.
29
. f = f(X) = f(X1, X2),
(n = 4, m = 2).
:
f (X, U ) = ¬ x1 ∨ x 2 ⋅ u 0 ⋅ x 3 ∨ x 4 ⋅ u 1 ⋅ (x 3 ⊕ x 4 ) ⋅ u 2 x 3 x 4 &

& (x 1 ⊕ x 2 ) ⋅ u 3 ⋅ x 3 ∨ x 4 ⋅ u 4 ⋅ (x 3 ⊕ x 4 ) ⋅ u 5 x 3 x 4 &
& x 1 x 2 ⋅ u 6 ⋅ x 3 ∨ x 4 ⋅ u 7 ⋅ (x 3 ⊕ x 4 ) ⋅ u 8 x 3 x 4 ,

3
(2, 2),
-
BY 8859 C1 2007.02.28
X = (X1, X2), X1 = (xl, x2), X2 = (x3, x4);
U = (uo, u1,…, u8), ui∈{0,1}, i = 0,8 , "¬"
U
,
, .
(
,
. f,
U = C(f ) = C , C , C , C , C , C , C , C , C
00
01
02
10
11
12
.
.
20
21
22
-
).
-
.
1
2
18
),
(
3
4
19
20
(
u0-u8
21
).
.
31
U = (u0, ul,…, u8).
f = f(Xl, X2),
U
22-30
.
-
f = f (X1 , X 2 ) = x 1 x 2 x 3 x 4 ∨ x 1 x 2 x 3 x 4 ∨ (x 1 ∨ x 2 )x 3 x 4 .
,
. f = f(X l, X 2 )
(f) = (C00 01 02 10,C11 12 20,C21 22) = (1,0,1,0,0,1,0,0,1) .
U = C(f ) ,
:
U = (u0, u1,…, u8) = (0,1,0,1,1,0,1,1,0).
,
.
23, 25, 26, 28 29;
22, 24, 27 30.
:
-
.
:
1.
2.
3300,
3031,
G 06F 7/00, 2000.
G 06F 7/00, 1999 (
).
.
220034, .
,
.
, 20.
4
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