Download Progress in Cryptology – AFRICACRYPT 2014: 7th International by David Pointcheval, Damien Vergnaud PDF

By David Pointcheval, Damien Vergnaud

This publication constitutes the refereed complaints of the seventh overseas convention at the conception and alertness of Cryptographic recommendations in Africa, AFRICA CRYPT 2014, held in Marrakesh, Morocco in may possibly 2014. The 26 papers awarded including 1 invited speak have been rigorously reviewed and chosen from eighty three submissions. the purpose of Africa crypt 2014 is to supply a world discussion board for practitioners and researchers from undefined, academia and executive from worldwide for a panoramic dialogue of all types of cryptography and its purposes as follows: Public-Key Cryptography, Hash features, Secret-Key Cryptanalysis, quantity idea, Implementation, Protocols and Lattice-based Cryptography.

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Extra info for Progress in Cryptology – AFRICACRYPT 2014: 7th International Conference on Cryptology in Africa, Marrakesh, Morocco, May 28-30, 2014. Proceedings

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1 ν(m−1)+1 (1 − Q m) ≤ γmin ≤ γmax ≤ 1 ν(m−1)+1 . We now get into the analysis of the security of our scheme. Thanks to Lemma 1 we have that Advdbdh BGSGen,B (κ) = I 2 Pr[Game 4 ⇒ β ∧ GD4 ∧ Q(I)] − Pr[Game 4 ∧ Q(I)] and using the “independence” of Lemma 2, we deduce I dbdh that AdvBGSGen,B (κ) ≥ γmin I 2 Pr[Game4 ⇒ β ∧ Q(I)] − γmax I Pr[Q(I)]. Encrypt2 ,A (κ, T ) + 2 ) − γmax . If we set α = ν(m − 1) + 1 −1 , and substitute γmin and γmax we get Advdbdh BGSGen,B (κ) ≥ Proxy Re-Encryption Scheme Supporting a Selection of Delegatees α 2 1− Q m ε+α 1− using m = 9Q ε Q m −α ≥ α 1 2 1− ε 9 ε− ε 9 in α’s definition, we finally get 27 ≥ αε 3 .

Our two schemes with white box traceability have a ciphertext which contains the path, so that its size has an additive factor of i ni . By associating re-encryption keys to codewords of a collusion secure code, we obtain a scheme with a black-box tracing algorithm and with ciphertext with linear size in the length of this code. Another Application: Cloud Storage. We present another application for our selective PRE: Alice has some data on a cloud storage and wants other users (friends, family, colleagues) to access this space to add or read these data.

AdvCDDH Γ ,A := 2 · Pr[CDDH ⇒ True] − 1, where game CDDH is described in Fig. 4. procedure Initialize(λ): (p, q, G, GT , e, g) ←$ GC (λ) n ← pq; gp ← gq ; gq ← gp Γ ← (n, G, GT , e, g) X1 ←$ Gq ; X2 ←$ Gq ; X3 ←$ Gq a ←$ Zn ; b ←$ Zn ; c ←$ Zn ; R ←$ G bit ←$ {0, 1} if bit = 0 return ... (Γ , gp , gq , (gp )a , (gp )b , X1 (gp )ab , X2 (gp )abc , X3 (gp )c ) else return ... (Γ , gp , gq , (gp )a , (gp )b , X1 (gp )ab , X2 (gp )abc , R) procedure Initialize(λ): (p, q, G, GT , e, g) ←$ GC (λ) n ← pq; gp ← gq ; gq ← gp Γ ← (n, G, GT , e, g) X1 ←$ Gq ; X2 ←$ Gq ; X3 ←$ Gq a ←$ Zn ; b ←$ Zn ; R ←$ G bit ←$ {0, 1} if bit = 0 return ...

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