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BY (11) 11473
(13) C1
(46) 2008.12.30
(19)
(12)
(51)
(2006)
G 06F 7/38
(54)
(21)
(22) 2007.07.18
(43) 2008.02.28
(71)
:
: a 20070914
(73)
(BY)
(56) BY 2991 C1, 1999.
BY 8122 C1, 2006.
BY 7943 C1, 2006.
RU 2149449 C1, 2000.
SU 1456953 A1, 1989.
SU 1803911 A1, 1993.
SU 1765823 A1, 1992.
(BY)
(72)
:
:
;
(BY)
(57)
,
,
,
,
2,
i,
BY 11473 C1 2008.12.30
i"
i = 1,
"
(i + 2)-
4-
i"
i-
i- ,
"
,
BY 11473 C1 2008.12.30
,
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,
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,
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"
,
.
.
,
[1].
.
,
,
[2].
15.
,
B
A = S (mod 5).
AB = S (mod 5)
.
.
,
i-
i-
(i = 1, 2)
i-
.
"
4-i"
-
"
,
(i + 2)-
i-
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.
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2
BY 11473 C1 2008.12.30
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,
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.
)
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.
,
.
1
5,
.
2,
6,
3
7…13
4,
14…18.
7…10
"
", "
",
" "
"
A = (a0,…,a4),
,
11, 12 13 "
", "
" "
"
B = (b0,…,b4),
,
a0,…,a4, b0,…,b4 ∈
{0,1}.
ak = 1 bk = 1
,
A = k (mod 5) B = k (mod 5),
k = 0,…,4.
14…18
,
,
AB = S (mod 5),
S = (s0,…,s4) s0,…,s4
∈ {0,1}.
sk = 1
,
A = k (mod 5) k = 0,…,4.
(
)
S0,S1,S2,S3 S4:
S0 = a 0 , S1 = a 0 ∨ S2 ∨ S3 ∨ f1 (a 2 , a 3 , b 2 ) ∨ f 2 (a 4 , b1 , b 3 ),
S2 = a 2 ~ a 3 ~ b1 ~ b 3 , S3 = a 2 ~ a 3 ~ b1 ~ b 3 ,
1,
f1 (a 2 , a 3 , b 2 ) = 
0 −
1,
f 2 (a 4 , b1 , b 3 ) = 
0 −
"~"
").
S2 = 1
a 2 = a 3 = b1 = b 3 a 2 = a 3 = b1 = b 3 ,
,
00.
,
2
+
3
+ b 2 ≥ 2;
a 4 + b1 + b 3 ≥ 2;
"
" (
"
S3 = 1
,
.
S0, S1, S2, S3
.
S4
0 = p (mod p),
00 = pp = 0 (mod p).
00 = 0 (mod 5).
,
,
-
,
,
,
,
12.
-
(
),
(
),
.
3
2τ,
21,
τ-
BY 11473 C1 2008.12.30
a0
7
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
A = (a0, a1, a2, a3, a4)
a1
a2
a3
8
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
a4
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
b0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
B = (b0, b1, b2, b3, b4)
b1
b2
b3
11
12
13
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
b4
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
s0
14
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
:
1.
2.
BY 7008,
BY 2991,
G 06F 7/49, 2005.
G 06F 7/49, 1999 (
).
.
220034, .
,
.
, 20.
4
s1
15
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
0
0
0
1
1
0
1
0
1
S = (s0, s1, s2, s3, s4)
s2
s3
s4
16
17
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
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