Regular covers of complete graphs which are 2-arc-transitive are investigated. A classification is given of all such graphs whose group of covering transformations is either cyclic or isomorphic to Z p _Z p , where p is a prime and whose fibrepreserving subgroup of automorphisms acts 2-arc-transitively. As a result two new families of 2-arc-transitive graphs are obtained.
Academic Press
Abstract. The purpose of this paper is to investigate fixed-point arithmetic in ring-based Somewhat Homomorphic Encryption (SHE) schemes. We provide three main contributions: firstly, we investigate the representation of fixed-point numbers. We analyse the two representations from Dowlin et al, representing a fixed-point number as a large integer (encoded as a scaled polynomial) versus a polynomial-based fractional representation. We show that these two are, in fact, isomorphic by presenting an explicit isomorphism between the two that enables us to map the parameters from one representation to another. Secondly, given a computation and a bound on the fixed-point numbers used as inputs and scalars within the computation, we achieve a way of producing lower bounds on the plaintext modulus p and the degree of the ring d needed to support complex homomorphic operations. Finally, as an application of these bounds, we investigate homomorphic image processing.
Abstract. Cloud computing is one of the biggest trends in information technology, with individuals, companies and even governments moving towards their use to save costs and increase flexibility. Cloud infrastructures are typically based on virtualised environments, to allow physical infrastructure to be shared by multiple end users. These infrastructures can be very large and complex, with many end users, making their configuration difficult, error-prone and timeconsuming. At the same time, the fact that diverse end users share the same physical infrastructure raises security concerns, and can lead to a significant impact from misconfiguration or being slow to react to attacks. In this paper, we focus on the use of Policy Based Management techniques to manage cloud infrastructure, identifying the requirements, surveying the state-of-the-art, identifying the challenges and proposing potential solutions.
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