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An Improved Secure Cloud Storage Auditing Protocol Based on Distributed String Equality Checking

100%

Zhang J. , Wang B.

tom Vol. 157, nr 1/2

185--199

Recently how to audit cloud storage correctly and securely is a very hot research topic for cloud storage. At Infocom 2015, Chen et al. proposed a novel secure cloud storage audit protocol based on distributed string equality checking, which is a very interesting result. In this paper, we give some improvements to their protocol to strengthen its security. In particular, we show that if the data owners reuse pseudorandom function on the same order number of file block when uploading file block's tag to the cloud, the protocol maybe not secure any more. We also show that there can exist P many (mi, ci) pairs which will result in the same inner product sum n ∑ni=1 mi . ci while mi denotes the file block, ci denotes the challenge value, and n denotes the number of blocks. We emphasis here that the flaw maybe does not lie in the traditional security model of cloud storage auditing protocol, but we think it is actually a serious drawback for current secure cloud storage audit protocols. We emphasis these two flaws can also exist in some famous cloud auditing protocols such as PDP and POR. Finally, we give an improvement to their protocol, and thus also give a way to strengthen the famous PDP and POR protocols.

A saturation theorem for combinations of Bernstein-Durrmeyer polynomials

100%

Agrawal P. , Gupta V.

1992

tom 57

nr 2

157-164

We prove a local saturation theorem in ordinary approximation for combinations of Durrmeyer's integral modification of Bernstein polynomials.

On Orthogonal Projections on the Space of Consistent Pairwise Comparisons Matrices

88%

Koczkodaj W. W. , Smarzewski R. , Szybowski J.

tom Vol. 172, nr 4

379--397

In this study, the orthogonalization process for different inner products is applied to pairwise comparisons. Properties of consistent approximations of a given inconsistent pairwise comparisons matrix are examined. A method of a derivation of a priority vector induced by a pairwise comparison matrix for a given inner product has been introduced. The mathematical elegance of orthogonalization and its universal use in most applied sciences has been the motivating factor for this study. However, the finding of this study that approximations depend on the inner product assumed, is of considerable importance.

Estimation of the Kronecker and products of two mean vectors in multivariate analysis

88%

Neudecker H. , Trenkler G.

Discussiones Mathematicae Probability and Statistics

2005

tom 25

nr 2

207-215

In this paper the Kronecker and inner products of mean vectorsof two different populations are considered. Using the generalized jackknife approach, estimators for these products are constructed which turn out to be unbiased, provided one can assume multinormal distribution.