Applied Cryptography and Network Security: 13th by Tal Malkin, Vladimir Kolesnikov, Allison Lewko, Michalis

By Tal Malkin, Vladimir Kolesnikov, Allison Lewko, Michalis Polychronakis

This ebook constitutes the refereed lawsuits of the thirteenth foreign convention on utilized Cryptography and community safeguard, ACNS 2015, held in manhattan, big apple, united states, in June 2015. The 33 revised complete papers integrated during this quantity and provided including 2 abstracts of invited talks, have been conscientiously reviewed and chosen from 157 submissions. they're geared up in topical sections on safe computation: primitives and new versions; public key cryptographic primitives; safe computation II: purposes; anonymity and similar functions; cryptanalysis and assaults (symmetric crypto); privateness and coverage enforcement; authentication through eye monitoring and proofs of proximity; malware research and aspect channel assaults; part channel countermeasures and tamper resistance/PUFs; and leakage resilience and pseudorandomness.

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Ua(n−2t,m) T . Each party in P locally computes their shares of these polynomials. 2 Each party in P sends all their shares of Ha party Pk for each a, i, and m. 3 Each Pk uses Berlekamp-Welch on the shares of each U (i,k,m) to interpolate U (i,k,m) (ζ j ) for each j ∈ [ ]. 4 Each Pk uses Berlekamp-Welch on the shares of each Ha . to (i,k,m) interpolate H (αi ) for each i ∈ [n]. 5 Each Pk checks if the shares of Ha are consistent with the interpolation of the polynomial U (i,k,m) . That is, Pk checks if (k,m) (αi ) for each j ∈ [ ].

A , ya ) lie on the polynomial of degree ≤ a − 1 which evaluates to xj at φj for each j ∈ [a]. (In other words, M interpolates the points with x-coordinates θ1 , . . , θa on a polynomial given the points with x-coordinates φ1 , . . ) Then any submatrix of M is hyper-invertible. For our protocol, we let M be some (publicly known) hyper-invertible matrix with n rows and n − 2t columns. Throughout the protocol, the Berlekamp-Welch algorithm is used to interpolate polynomials in the presence of corrupt shares introduced by the adversary.

Each party locally computes and similarly define Ra (j,m) and their shares of these polynomials and sends his share of each Ha (j,m) Ra to party Pj . (i,m) Each Pi uses Berlekamp-Welch to interpolate the shares of Ha and (i,m) Ra received in the previous step. 1 h2a−1 (ζ j ) = Ha (ζ ) for j ∈ [ ]. (i,m) (i,m) j +j ) = R2a−1 (ζ ) for j ∈ [d − + 1]. 2 h2a−1 (ζ (i,m) (i,m) (ζ +j ) for j ∈ [ ]. 4 h2a (ζ ) = R2a (ζ ) for j ∈ [d − + 1]. (i,m) Each Pi sends each ha (αj ) to each Pj . 4 h2a (ζ then it is clear that ha(1,m) , .

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