., ( [22]) ( ),.,,., 90 ( [38]),. ( [12]).,,..,.,,. 2,. 3,. 4,.,,. [20], [31],,. ([21], [34], [36], [49] ),,.,.,. 2
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1 Abstract.,.,,. ( ), 1. 1.,..,,.,,., 4. 1,, 1
2 ., ( [22]) ( ),.,,., 90 ( [38]),. ( [12]).,,..,.,,. 2,. 3,. 4,.,,. [20], [31],,. ([21], [34], [36], [49] ),,.,.,. 2
![.,.,,. 2,. 3,. 4,.,,. [20], [31],,.](/docs-images/46/20533079/images/page_2.jpg "([21], [34], [36], [49] ),,.")
3 2.,.,. U B ( ),. U M, M. B U M B. B U (withdrawal), U M (payment), M B (deposit). B, U M, M,. B..,,..,,,., (PKI, public key infrastructure).,,.,., 3
4 ..,,,,.,,.,,.,.,,.,.,,.,. ( ),,..,. (DoS, Denial of Service Attack).,,..,. 4
5 ..,,.., ( ). 3,..,.,,..,. ( [36]),.,,,,.,,,.,..,.,. 5
6 ,.,,.,,.,,., (ATM). ATM,. ATM,., ( [39] 9.1 ),.,.,....,.,,.,,, Diffie and Hellman [13],. A,B ( A ), B A.. Secure Socket Layer (SSL). SSL [18] C. 6
7 .. U M. U. U, M,,,, M. M B. B U U M..,,. M. U.,.,. U M M,. (cashier s check).,,... ( )., ( 150 ).,..,., U,. 7
8 ,.,,. ( [49] 2 ), 1000, 5000, 10000,.,, ,,., Chaum ([9])., Okamoto and Ohta ([38]) 6,. 1. (independence):.. 2. (security): (copy ) (forge). 3., (privacy, untraceability):. 4. :. 5., (transferability) :,. 6. :. 1.,., (IC ) 8
9 ,. 6. Chaum ([8],[9]). Chaum, U, B. B U, U B. B U U,..,.,. B., B. U,,, DoS..,,.,.. U 9
10 , U. (cut and choose). [42], [10]. [37], [38],,.,,. [10] U B, U K. K. B K/2 U. K/2 U, B K/2,. K/2. U., U.,., K,. [37], [38],,. challenge and response challenge and response,, U M. ( )., 1 U. U. U M, U M. U, 2 U. U U. U M U 10
![[37], [38],,.](/docs-images/46/20533079/images/page_10.jpg "challenge and response challenge and response,, U M. ( ).")
11 U, U. U U., M U,, U. M U U challenge and response. Chaum ([10]) ( ) K/2 challenge and response. [10] 1 challenge and response 2 1/2, K/2 U 1 (1/2) K/2. U challenge. 2 U challenge, challenge. [10]. [37],[38],[52],[26] challenge, [2],[17],[16],[12] challenge. Single term. [1] [15], [15] single term., single term. Single term, U B U. challenge and response, single term. single term.,,..,,.. 11
![[10]. [37],[38],[52],[26] challenge, [2],[17],[16],[12] challenge. Single term.](/docs-images/46/20533079/images/page_11.jpg "[1] [15], [15] single term., single term. Single term, U B U. challenge and response, single term.")
12 .,.,,..,.,, ([53],[29]).,.,.,.,. (currency),.,.,...,..,,.,.,.,., 12
![29]).,.](/docs-images/46/20533079/images/page_12.jpg ",.,.,. (currency),.")
13 ..,. ([11])... U U, U. U.., U U,. U,., U U, U, U.,. [37]. [37],,.,.,,., DoS..,,.,.. ( ),.,,.,,,.., 13
![[37],,.,.,,., DoS..,,.,.. ( ),.](/docs-images/46/20533079/images/page_13.jpg ",,.,,,.., 13")
14 ([37]).,. [38],.,. [14] single term, [35], [6].,.,.,,.,.,,,.,,.,,,.,,.,. Chaum ([10]), [37], [38] 6.,, ([51]).,,,.,,,. 14
![,. [14] single term, [35], [6].](/docs-images/46/20533079/images/page_14.jpg ",.,.,,.,.,,,.,,.,,,.,,.,. Chaum ([10]), [37], [38] 6.")
15 ,,., (perfect crime)., ( ). (revocation of anonymity)., (trustee, judge, ombudsman, escrow). [3], [47], [26], [4], [5], [17], [16],[12], [32], [40], [41], [27], [28], [25], [30].. [41]., U ( ) (pseudonym) ([47],[5],[17],[32] )..,.,. single term,.,..,,.,.,,..,.. 15
![[3], [47], [26], [4], [5], [17], [16],[12], [32], [40], [41],](/docs-images/46/20533079/images/page_15.jpg "[27], [28], [25], [30].. [41].")
16 .,,., [44], [45]. [44], U. [45],.,.,,,. (anonymous communication). [7] mix, [46]. [46], [24], [23]...,,,.,.,,..,,.,. IP IP,.., 16
![[7] mix, [46]. [46], [24], [23].](/docs-images/46/20533079/images/page_16.jpg "..,,,.,.,,..,,.,. IP IP,.., 16")
17 ,.,,., 3. Chaum ([7]) mix,, mix. (pseudonym) [5],[46].,.,. [46], [23].,,.. [5] single term.,. ATM,.,,.,.,..,,.,,..,. 17
![(pseudonym) [5],[46].,.,. [46], [23].](/docs-images/46/20533079/images/page_17.jpg ",,.. [5] single term.,. ATM,.")
18 ,,.,,,.,.,,. webmoney 2 bitcash 3,,....,..,.,., ( )., ( ),.. [44].,. (linkability). [37], [38],.,
![[37], [38],., 2 http://www.webmoney](/docs-images/46/20533079/images/page_18.jpg ".ne.jp 3 http://www.bitcash.co.jp 18")
19 .,.. [33] group signature. ( ) ,....,. [43],. [48] M,. Millicent ([19]) U M.. U M,.,,.,. Millicent..,,,..., 19
![[48] M,. Millicent ([19]) U M.](/docs-images/46/20533079/images/page_19.jpg ". U M,.,,.,. Millicent..,,,.")
20 U M. 4.,.,,.,.,,,.,.,,.. 4., ( )..., SET (Secure Electronic Transaction). SET [50] 12, 4,,. 20
21 SET ( SET U M M U. SET,.,.,,.,.,.,.,.,. [9] big brother.,,,.,. References [1] S. Brands, An efficient off-line electronic cash system based on the representation problem, C.W.I. Technical Report CS-R9323 (1993). [2] S. Brands, Untraceable off-line cash in wallet with observers, Advances in Cryptology CRYPTO 93 pp (1994). [3] E. Brickell, P. Gemmel and D. Kravitz, Trustee-based tracing extensions to anonymous cash and the making of anonymous ex- 21
22 change, Proc. 6th annual ACM-SIAM symposium on Discrete algorithms (SODA), pp (1995). [4] J. Camenisch, U. Maurer and and M. Stadler, Digital payment systems with passive anonymity-revoking trustee, Computer Security ESORICS 96, LNCS 1146, pp (1996). [5] J. Camenisch, J.M. Piveteau and M. Stadler, An efficient fair payment system, 3rd ACM Conference on Computer Communications Security, ACM Press, pp (1996) [6] A. Chan, Y. Frankel and Y. Tsiounis, Easy come - easy go divisible cash, Advances in cryptology EUROCRYPT 98, LNCS 1403, pp (1998). [7] D. Chaum, Untraceable electronic mail, return addresses, and digital pseudonyms, Communications of the ACM, pp (1981). [8] D. Chaum, Blind signatures for untraceable payments, Advances in Cryptology CRYPTO 82, pp (1982). [9] D. Chaum, Security without identification: transaction system to make big brother obsolete, Communications of the ACM, 28, pp (1985). [10] D. Chaum, A. Fiat and M. Naor, Untraceable electronic cash, Advances in Cryptology CRYPTO 88, pp (1988) [11] D. Chaum and T.P. Pedersen, Transferred cash grows in size, Advances in Cryptology EUROCRYPT 92, LNCS 658, pp (1993). [12] G. Davida, Y. Frankel, Y. Tsiounis and M. Yung, Anonymity control in E-cash systems, Advances in Cryptology Financial Cryptology 97, LNCS 1318, pp.1-16 (1997). [13] W. Diffie and M. E. Hellman, New directions in cryptography, IEEE Trans. Inf. Theory, IT 22, 6, pp (1976). [14] T. Eng and T. Okamoto, Single-term divisible electronic coins, Advances in Cryptology CRYPTO 94, pp (1994). [15] N. Ferguson, Single term off-line coins, Advances in Cryptology EUROCRYPT 93, pp (1994). 22
23 [16] Y. Frankel, Y. Tsiounis and M. Yung, Indirect discourse proofs: achieving efficient fair off-line E-cash, Advances in Cryptology ASI- ACRYPT 96, LNCS 1163, pp (1996). [17] E. Fujisaki, and T. Okamoto, Practical escrow cash systems, LNCS 1189, Springer, pp (1997). [18] S. Garfinkel and G. Spafford ( ), Web & (1998). [19] S. Glassman, M. Manasse, M. Abadi, P. Gauthier and P. Sobalvarro, The Millicent protocol for inexpensive electronic commerce, World Wide Web Journal, Fourth International World Wide Web Conference Proceedings, O Reilly, pp (1995). (available from [20],, ITME discussion paper No.18 (1999). [21],, (1996). [22],, ( ), 3, NTT (1999). [23] M. Jakobsson, Mini-Cash: a minimalistic approach to E-commerce, Public Key Cryptography 99, H. Imai and Y. Zheng eds. LNCS 1560, pp (1999). [24] M. Jakobsson and D. M Raihi, Mix-based electronic payments, SAC 98, LNCS 1556, pp (1998). [25] M. Jakobsson and J. Müller, Improved magic ink signatures using hints, Advances in Cryptology Financial Cryptology 99, LNCS 1648, pp (1999). [26] M. Jakobsson and M. Yung, Revokable and versatile electronic money, in Third ACM Conference on Computer and Communication Security, ACM Press, pp (1996). [27] M. Jakobsson and M. Yung, Distributed Magic-Ink signatures, Advances in Cryptology EUROCRYPT 97, LNCS 1233, pp (1997). 23
24 [28] M. Jakobsson and M. Yung, Applying anti-trust policies to increase trust in a versatile e-cash, Advances in Cryptology Financial Cryptology 97, LNCS 1318, pp (1997). [29] S. Jarecki and A. Odlyzko, An efficient micropayment system based on probabilistic polling, Advances in Cryptology Financial Cryptology 97, pp (1997). [30] A. Juels, Trustee tokens: simple and practical anonymous digital coin tracing, Advances in Cryptology Financial Cryptology 99, LNCS 1648, pp (1999). [31],, ITME discussion paper No.26 (1999). [32] D. M Raihi, Cost-effective payment schemes with privacy regulation, Advances in Cryptology ASIACRYPT 96, LNCS 1163, pp (1996). [33] T. Nakanishi, N. Haruna and Y. Sugiyama, Unlinkable electronic coupon protocol with anonymity control, Information Security Workshop 99, LNCS 1729, pp (1999). [34],, NTT (1999). [35] T. Okamoto, An efficient divisible electronic cash scheme, Advances in Cryptology CRYPTO 95, pp (1995). [36],, ( 53) (1997). [37] T. Okamoto and K. Ohta, Disposable zero-knowledge authentication and their applications to untraceable electronic cash, Advances in Cryptology CRYPTO 89 pp (1989). [38] T. Okamoto and K. Ohta, Universal electronic cash, Advances in Cryptology CRYPTO 91, pp (1991). [39],, (1997). [40] H. Petersen and G. Poupard, Efficient scalable fair cash with off-line extortion prevention, LNCS 1334, pp (1997). 24
25 [41] H. Petersen and G. Poupard, Efficient scalable fair cash with offline extortion prevention (full version of the [40]), Technical Report LIENS-97-07, (1997). [42] M. O. Rabin, Digitalized signatures, Foundations of Secure Computation, pp (1978). [43] R. L. Rivest and A. Shamir, PayWord and MicroMint: two simple micropayment schemes, CroyptoBytes, 2, pp.7 11 (1996). [44] T. Sander and A. Ta-Shma, Auditable, anonymous electronic cash, Advances in Cryptology CRYPTO 99, pp (1999). [45] T. Sander and A. Ta-Shma, Flow control: a new approach for anonymity control in electronic cash systems, Advances in Cryptology Financial Cryptology 99, LNCS 1648, pp (1999). [46] D. R. Simon, Anonymous communication and anonymous cash, Advances in Cryptology CRYPTO 96, pp (1996). [47] M. Stadler, J.M. Piveteau and J. Camenisch, Fair blind signatures, Advances in Cryptology EUROCRYPT 95, pp (1995). [48] J. Stern and S. Vaudenay, SVP: a flexible micropayment scheme, Advances in Cryptology Financial Cryptology 97, pp (1997). [49],, (1998). [50] P. Wayner ( ),, (1997). [51] S. Von Solms and D. Naccache, On blind signatures and perfect crimes, Computer & Security, 11, (1992). [52] Y. Yacobi, Efficient electronic money, Advances in Cryptology ASI- ACRYPT 94, pp (1994). [53] Y. Yacobi, On the continuum between on-line and off-line e-cash systems I, Advances in Cryptology Financial Cryptology 97, pp (1997). 25
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