Algorithmic Aspects of Cloud Computing: First International by Ioannis Karydis, Spyros Sioutas, Peter Triantafillou, PDF

By Ioannis Karydis, Spyros Sioutas, Peter Triantafillou, Dimitrios Tsoumakos

ISBN-10: 3319299182

ISBN-13: 9783319299181

ISBN-10: 3319299190

ISBN-13: 9783319299198

This publication constitutes the completely refereed post-conference complaints of the 1st foreign Workshop on Algorithmic facets of Cloud Computing, ALGOCLOUD 2015, held in Patras, Greece, in September 2015 along side ALGO 2015.

The thirteen revised complete papers provided including 2 instructional papers have been conscientiously reviewed and chosen from 37 preliminary submissions. They conceal a variety of subject matters in major tracks: algorithmic points of large-scale information shops, and software program instruments and disbursed architectures for cloud-based information management.

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D. dissertation, Stanford University (2009) 16. : Implementing Gentry’s fully-homomorphic encryption scheme. G. ) EUROCRYPT 2011. LNCS, vol. 6632, pp. 129– 148. Springer, Heidelberg (2011) 17. : Optimizing ORAM and using it efficiently for secure computation. , Wright, M. ) PETS 2013. LNCS, vol. 7981, pp. 1–18. Springer, Heidelberg (2013) 18. : Towards a theory of software protection and simulation by oblivious RAMs. In: STOC (1987) 19. : Software protection and simulation on oblivious RAMs. J. ACM 43, 431–473 (1996) 20.

Assume that there are two letters represented as [u0 u1 · · · ur ]2 and [v0 v1 · · · vr ]2 , where ui , vi ∈ {0, 1}. We compare these letters using the Algorithm 1. As a simple example, we consider two binary strings [1010]2 and [1101]2 . Algorithm 1. Secret comparison using According to previous description, we binary representation 1: for i = 1 to r do perform the following computations: 2 – Bitwise subtraction, [1, 0, 1, 0] − [1, 1, 0, 1] = [1 − 1, 0 − 1, 1 − 0, 0 − 1] = [0, −1, 1, −1]; – Bitwise squaring, [02 , (−1)2 , 12 , (−1)2 ] = [0, 1, 1, 1]; – Bitwise OR, S = 0|1|1|1 = 1;1 2: 3: 4: 5: 6: 7: 8: si = [ui − vi ] end for S=0 for i = 1 to r do S = S + si − S × si end for return 1 − S It is easy to check that if the two strings are equal, S is equal to 0 and otherwise to 1.

The SSS-Subleq plus degree reduction 1: procedure SSS-Subleq-DR(A, B, C) 2: Decrease(A B C P C + 1, 3 , ) 3: R1 ← Read(A) 4: R2 ← Read(B) 5: R N um = SSS-SUB(R1 , R2 ) 6: Decrease(R N um, ∗, ) 7: Write(B, R) 8: Jump(N um · C + (1 − N um) · (P C + 1)) 9: end procedure the read/write registers are very small, thus, the number of items for which we need to reduce the degree is relatively small. Assume that both the addresses and data items are secret shared using the polynomials of the same degree , plus degree reduction step, the Subleq can be implemented as in Algorithm 5.

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Algorithmic Aspects of Cloud Computing: First International Workshop, ALGOCLOUD 2015, Patras, Greece, September 14-15, 2015. Revised Selected Papers by Ioannis Karydis, Spyros Sioutas, Peter Triantafillou, Dimitrios Tsoumakos


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