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By David Jao, Kayo Yoshida (auth.), Hovav Shacham, Brent Waters (eds.)
This ebook constitutes the refereed lawsuits of the 3rd foreign convention on Pairing-Based Cryptography, Pairing 2009, held in Palo Alto, CA, united states, in August 2009.
The sixteen complete papers awarded have been conscientiously reviewed and chosen from 38 submissions. The papers are prepared in topical sections on signature protection, curves, pairing computation, non-interactive zero-knowledge platforms and purposes, staff signatures, and protocols.
Read or Download Pairing-Based Cryptography – Pairing 2009: Third International Conference Palo Alto, CA, USA, August 12-14, 2009 Proceedings PDF
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Additional info for Pairing-Based Cryptography – Pairing 2009: Third International Conference Palo Alto, CA, USA, August 12-14, 2009 Proceedings
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Definition 4 (Abuse-freeness). VES is abuse-free if for any efficient algorithm A the probability that experiment Abuse evaluates to 1 is negligible (as a function of n), where Experiment AbuseVES A (n) (apk, ask) ← AdjKg(1n ) (sk, pk) ← Kg(1n ) (m∗ , ω ∗ ) ← AC(sk,apk,·) (apk, ask, pk) Return 1 iff VesVf(apk, pk, ω ∗ , m∗ ) = 1 and A has never queried C(sk, apk, ·) about m∗ . 26 M. R¨ uckert and D. Schr¨ oder This definition can be strengthened even further as A could be allowed to choose the public key apk.
Experiment SOpacVES A (n) (sk, pk) ← Kg(1n ) (ask, apk) ← AdjKg(1n ) (m∗ , σ ∗ ) ← AC(sk,apk,·),A(ask,apk,pk,·,·) (pk, apk) Let A = {(mA1 , σA1 ), . . , (mA , σA )} be the query-answer pairs of A. Return 1 iff Vf(apk, σ ∗ , m∗ ) = 1 and (m∗ , σ ∗ ) ∈ A. Here again, as opposed to opacity, the adversary is allowed to query the oracles on the message it is about to output as a forgery. The forgery, however, must be different from what the adversary obtained from A on that message. Definition 12 (Strong Security of VES).
P. Le, A. Bonnecaze, and A. Gabillon Table 2. Chosen Message Attack against Multisignature in the Plain public-key model Experiment Expuu−cma (A) : MS params ← Setup(1k ); (sk∗ , pk∗ ) ← KGen(params); List ← ∅; Run A(params, pk∗ ), and for every signature query m made by A do the following: 1. List ← List ∪ {(m, L)}, where L is the list of users participating in signing the message m; 2. Execute protocol MSign on behalf of an honest player on inputs (params, m, sk∗ , L), forwarding messages to and from A.