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Anonymous Communication Networks: Protecting Privacy on the by Dakshina Ranjan Kisku; Phalguni Gupta; Jamuna Kanta Sing

By Dakshina Ranjan Kisku; Phalguni Gupta; Jamuna Kanta Sing

''Preface the individuality of the physiological and behavioral features of humans is used to facilitate the identity or verification technique, and it usually ends up in right class. in spite of the fact that, the specific evidences received from anyone don't warrantly a a hundred% matching to be played to the biometric features similar to one other topic, even after contemplating all Read more...

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N and thus D(c′1 ), D(c′2 ), . . , D(c′n ) is a permutation of D(c1 ), D(c2 ), . . , D(cn ), which is a contradiction. So P (A2 /A¯1 ) ≤ 2−L must be true to avoid the contradiction. 2) is proved using a standard Chaum-Pedersen proof of equality of discrete logarithms [27], ′ P (A3 /A¯1 ∧ A2 ) = 1 and P (A3 /A¯2 ) < 2−L where L′ is the bit length of the challenge in the Chaum-Pedersen proof of equality of logarithms. 2 SMN Employing Additive Homomorphic Encryption Algorithm Let’s recall the parameter setting of Paillier encryption in mix networks.

Theorem 5 If si and s′i for i = 1, 2, . . , n are randomly chosen from {0, 1, . . 14) with a probability larger than 2−L , then there is an identical permutation from D(cj,1 ), D(cj,2 ), . . , D(cj,k ) to D(c′j,1 ), D(c′j,2 ), . . , D(c′j,k ) for j = 0, 1, . . , n/k. To prove Theorem 5, Lemma 4, Lemma 5, Lemma 6 and Lemma 7 are needed. Lemma 4, Lemma 5, Lemma 6 in this paper are Lemma 1, Lemma 4, Lemma 5 respectively in [90] while Lemma 7 in this paper is Theorem 1 in [90]. Their proof is not repeated here.

K, k ′′ i=1 c0,i k i=1 mod N 2 , ′ ′ ti c 0,i mod N 2 , ′ k k ′′ ti i=1 c0,i = i=1 c 0,i mod k ′ ti 2 i=1 c j,i mod N for j = N 2, 1, 2, . . 8 where S denotes a shuffling node and V denotes a verifier. , a full length like 1024 bits) in the new scheme. The only restriction is 2L < p′ and 2L < q ′ . As p′ and q ′ are full length integers, the challenges can be full length integers as well. 8 can become non-interactive when necessary by generating the challenges through a hash function. It will be illustrated that efficiency improvement in the new shuffling scheme is so great that efficiency is still very high when full length challenges are employed.

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