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1 28 Confined Decoding System for Medical Data Distributed by Secret Sharing Scheme and Its Security Evaluation
2 DMAT i
3 Abstract Confined Decoding System for Medical Data Distributed by Secret Sharing Scheme and Its Security Evaluation Asami TANAKA The medical treatment in the area affected of disaster was difficult because medical datalostinthetsunami ofgreateast japanearthquake. Inorder toprevent medicaldata from being lost, the hospitals in Kochi have started the remote backup plan. Moreover, by providing the required information of treating victims from backup data such as name, blood type and medicine information, Disaster Medical Assistance Team(DMAT) can treat victims outside the hospital at the acute stage of disasters. Because medical data is personal information, it is necessary to provide the minimum required patient information. The restoration method has been proposed to confine more decoding data than necessary decoding data. In order to provide the patient information, the proposed method owns the decoding control information. However, it is possible to illegally decode in case the leaked the decoding control information. In this paper, the restoration structure to prevent from illegal decoding has been proposed. To prevent from illegal decoding, the structure control information has been defined to prohibit the decoding control information leakage. In addition, the requirement has been defined to prevent the structure control information from being leaked. The experimental results suggested that it is possible to prevent from illegal decoding by satisfying the requirements. key words distributed backup, secret sharing scheme, confied decodning ii
4 SS-MIX(Standardized Structured Medical Information exchange) (k,n) (k,n) iii
5 3.5.1 PC PC PC PC PC PC iv
6 2.1 SS-MIX (k,n) SS-MIX (k,n) SS-MIX SS-MIX ( ) ( ) PC PC PC PC PC PC v
7 PC PC PC ( ) PC PC PC PC PC vi
8 4.4 PC vii
9 viii
10 1 1.1 [1] [2]
11 2 [1] [2] [3] [1] (k,n) (k,n) 2
12 (SS-MIX: Standardized Structured Medical Information exchange) [4] [4] 3
13 SS-MIX(Standardized Structured Medical Information exchange) SS-MIX [5] SS-MIX HIS(Hospital Information System) 4
14 SS-MIX 2.2 CD 2.1 SS-MIX ID 2.2 5
15 2.2 HL7 [6]
16 2.3 (k,n) 2.3 (k,n) [7] 2 [9] 1 (k,n) (k,n) SS-MIX 2.3 SS-MIX ID (k,n) n k (k,n) 2.4 n k k [10] (k,n) 7
17 2.3 (k,n) 2.3 (k,n) SS-MIX 2.4 (k,n) S p(s < p n < p) Z/pZ {0} x x = {x 1,x 2,,x n }. Z/pZ R 8
18 2.3 (k,n) 1. x X = 1 x 1 x 2 1 x k x 2 x 2 2 x k x n x 2 n x k 1 n (mod p) (2.1) vandermonde X 2. S R k 1 a S r 1 a = r 2 (r 1,r 2,,r k 1, R, r k 1 0) (2.2). r k 1 3. p X a Xa = w 1 w 2,. w n (mod p) (2.3) w i (i = 1,2,,n) w i w i 4. k k W W = w 1 w 2. (2.4) w k 9
19 2.3 (k,n) 5. X X 1 W X 1 W = X 1 w 1 w 2. w k = X 1 X = S r 1 r 2. r k 1 S r 1 r 2. r k 1 (mod p) (2.5) S (k,n) (2.4) w 1 = S +r 1 x 1 +r 2 x r k 1x k 1 1 (mod p) w 2 = S +r 1 x 2 +r 2 x r k 1x k 1 2 (mod p). w k = S +r 1 x k +r 2 x 2 k + +r k 1x k 1 k (mod p) (2.6) (2.6) S w i k S w i k S (k,n) n n k k (k,n) 10
20 SS-MIX 2.4 (k,n) [11] (k,n) SS-MIX SS-MIX (k,n)
21 SS-MIX S d S i (i = 1,2,,d) (k,n) S i l i 0 12
22 (k,n) S S S i (i = 1,2,,d) S i S = S 1 d m=2 2 l m +S 2 d m=3 2 l m + +S d 1 2 d +S d (2.7) 13
23 2.4 S l i S i S all = {S 1,S 2,,S d } S all S all S c = {S c1,s c2,,s cj } (1 d) S S = S c1 j m=2 2 l m +S c2 j m=3 2 l m + +S c1 S c S ct (1 t j) W ct = {w ct1 w ct2,,w ctn } G c W ct u c = j m=2 2l m j m=3 2l m. 1 (2.8) 1. S (2.7) S i l i 2. p (S < p n < p) 3. Z/pZ {0} X = {x 1,x 2 x n } X = 1 x 1 x 2 2 x k x 2 x 2 2 x k x n x 2 n x k 1 n (mod p) (2.9) 14
24 2.4 n k vandermonde X S i Z/pZ R i = {r i,1,,r i,k 1 }( r i,k 1 {X/pZ} {0} ) a i a i = S i r i1 r i2. r ik 1 4. p X a i Xa i = w i1 w i2. w in (mod p) (2.10) w ij (j = 1,2,,n) w ij 5. G c w cj k k k k w c11 w c21 w cj1 w c12 w c22 w cj2 W c = W c (2.11) w c1k w c2k w cjk 6. W c (2.8) j w c11 m=2 2l m j +w c21 m=3 2l m + +w cj1 j w c12 m=2 W c u c = 2l m j +w c22 m=3 2l m + +w cj2. (2.12) w c1k j m=2 2l m +w c2k j m=3 2l m + +w cjk 15
25 2.5 (k,n) (2.12) j S c1 m=2 2l m j +S c2 m=3 2l m + +S cj j r 11 m=2 X 2l m j +r 21 m=3 2l m + +r j1. j r 1k 1 m=2 2l m j +r 2k 1 m=3 2l m + +r jk 1 7. (2.13) X X 1 (2.13) j 2 X 1 W c u c = S c1 2 l m +S c2 2 l m + +S cj (2.14) = S m=2 m=3 S S S (k,n) S (k,n) (k,n) S u c 2.5 (k,n) (k,n) (k,n) n n k k n k 16
26 2.6 (k,n) (k,n) (k,n) 2.6 (k,n) 17
27 2.6 (k,n) (k,n) 18
28 DMAT
29
30 3.3 [12] SS-MIX
31 ( ) PC DB DB 3.3 DB PC PC PC 22
32 ( ) PC
33 SS-MIX DB SS-MIX 3.5 SS-MIX DB 24
34 3.4 DB DB DB DB PC 25
35 3.4 ( ) ( ) DB DB SQL DB DB PC PC PC
36 PC PC PC PC PC PC ( ) PC ( ) 27
37 PC PC PC 28
38 3.5 ( ) PC
39 ( ) ( ) DB ( ) PC DB ( ) 30
40 PC 1 PC PC PC PC PC PC PC PC 3.8 PC PC PC
41 3.5 PC 2. PC PC PC PC 3. PC PC PC 1. PC 2. 32
42 3.5 PC PC 3. PC PC PC PC PC 4. PC PC PC PC PC PC PC PC PC PC
43 PC PC (1) ( ) ( ) ( ) (2) (3) (4) (1) 3.10 (1) PC PC PC PC 1 PC 3.10 PC
44 PC 3.11 PC PC 3.10 PC 3.12 (2) 3.13 (2) PC PC PC 35
45 PC 3.13 PC (1)
46 (5) (5) 3.15 (5) PC (1) (5) PC 37
47
48 (1) n (2) (3) (1) (2) (2) 39
49 (3)
50 PC PC PC PC 3.20 PC 3.21 PC 41
51 n (k 1) 2 P a P a = 2 n (3.1) (k 1) PC 42
52 PC 1. PC n k P P = k n (3.2) 2. PC 3. PC PC PC PC 43
53 3.5 PC PC PC PC (1) ( PC ) ( ) (2) ( ) (3) ( ) ( ) ( ) (4) ( ) ( ) ( ) (5) ( ) PC (1) PC PC (1) 3.23 PC 44
54 PC 3.24 PC PC ( ) PC PC (2) (2) 3.24 ( ) 45
55 ( ) 3.26 (3) (4) (3) 3.25 ( ) ( ) (4) 3.26 ( ) (5) 46
56 (5) 3.27 PC PC PC PC PC 3.28 PC 47
57 PC 3.29 PC PC PC PC PC 48
58 PC (1) (2) (1) PC (1) 3.30 PC PC (2) 3.31 PC PC 49
59 PC PC 50
60 3.6 51
61 4 4.1 d DB 1 52
62 PC PC ( ) PC 53
63 PC PC 4.1 PC PC PC PC PC 2 PC PC SQL 54
64 HTTPS PC PC PC PC 55
65 PC PC PC 4.3 PC PC PC 56
66 PC PC PC PC PC 4.4 PC PC DB Web 57
67 OS Ubuntu16.04LTS Web Apache2.4 DB Mysql5.6 PHP5.6 HTTPS PC
68 4.3 DB PC 4.3 PC PC 59
69 PC PC 4.6 DMAT PC 60
70
71
72 PC 63
73 4 TA TA 6 64
74 [1], (ICT),, Vol.33, No.4, pp , [2], Mercato,, Vol.89, pp.18 20, [3], ICT 2015 pp , Oct [4], [5] SS-MIX SS-MIX, Sep [6] SS-MIX, g01/6th r.pdf Sep [7] A. Shamir How to Share a Secret, Communication of the ACM, Vol.22, No.11, pp , Nov [8], Feb [9] M.Fujiwara, A.Waseda, R.Nojima, S.Moriai, W.Ogata, M.Sasaki. Unbreakable distributed storage with quantum key distribution network and passwordauthenticated secret sharing. Scientific Reports 6, Article number:
75 doi: [10] G. Blakley, Safeguarding Cryptographic Keys, Proc of AFIPS 1979 Nat. Computer Conf, Vol.48, pp , Sept [11], IA , pp.31 36, Dec [12] 4.3, Sanjikanshitsu Shakaihoshoutantou/ pdf,
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i 1 1 2 3 6 6 7 8 10 10 11 12 12 12 13 2 15 15 16 17 17 18 19 20 20 21 ii CONTENTS 25 26 26 28 28 29 30 30 31 32 35 35 35 36 37 40 42 44 44 45 46 49 50 50 51 iii 52 52 52 53 55 56 56 57 58 58 60 60 iv
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i 1 1 2 2 3 3 4 4 4 5 7 8 8 9 9 10 11 13 14 15 16 17 19 ii CONTENTS 2 21 21 22 25 26 32 37 38 39 39 41 41 43 43 43 44 45 46 47 47 49 52 54 56 56 iii 57 59 62 64 64 66 67 68 71 72 72 73 74 74 77 79 81 84
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