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 leads to right class. although, the specified evidences bought from someone don't warrantly a a hundred% matching to be played to the biometric features reminiscent of one other topic, even after contemplating all Read more...

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Otherwise, (e1′j , e2′j ), the ciphertext corresponding to (b′i , vi′ ) is revealed. ✐ ✐ ✐ ✐ ✐ ✐ “K13841” — 2014/3/4 — 15:45 ✐ 26 ✐ Anonymous Communication Networks: Protecting Privacy on the Web (b) Each server (from the last one to the first one) has to prove its shuffling leading to (e1′j , e2′j ) is correct by publishing the input for (e1′j , e2′j ) and the random value used to re-encrypt the input to (e1′j , e2′j ). If any server has performed an incorrect shuffling, he will be discovered.

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.

When H() is regarded as a random oracle, linear ignorance assumption on the shuffling node with regard to D(c0,1 ), D(c0,2 ), . . , D(c0,k ) is automatically satisfied without any trust. Suppose Paillier encryption with distributed decryption [37] is employed for encryption in [86]. Parameters and re-encryption function of the employed encryption function are as follows. • Multiplication modulus is N 2 where N = p′ q ′ and p′ , q ′ are secret large primes. ∗ • RE(c) = crN mod N 2 where r is randomly chosen from ZN .

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