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Motivated by privacy preservation for outsourced data, data-oblivious external memory is a computational framework where a client performs computations on data stored at a semi-trusted server in a way that does not reveal her data to the…

Data Structures and Algorithms · Computer Science 2014-09-03 Michael T. Goodrich , Joseph A. Simons

Suppose a client, Alice, has outsourced her data to an external storage provider, Bob, because he has capacity for her massive data set, of size n, whereas her private storage is much smaller--say, of size O(n^{1/r}), for some constant r >…

Data Structures and Algorithms · Computer Science 2011-05-04 Michael T. Goodrich , Michael Mitzenmacher

As secure processors such as Intel SGX (with hyperthreading) become widely adopted, there is a growing appetite for private analytics on big data. Most prior works on data-oblivious algorithms adopt the classical PRAM model to capture…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-01 Vijaya Ramachandran , Elaine Shi

We present a simple, efficient, and secure data-oblivious randomized shuffle algorithm. This is the first secure data-oblivious shuffle that is not based on sorting. Our method can be used to improve previous oblivious storage solutions for…

Cryptography and Security · Computer Science 2014-02-25 Olga Ohrimenko , Michael T. Goodrich , Roberto Tamassia , Eli Upfal

In recent years a large number of problems have been considered in external memory models of computation, where the complexity measure is the number of blocks of data that are moved between slow external memory and fast internal memory…

Data Structures and Algorithms · Computer Science 2013-12-11 Lars Arge , Mikkel Thorup

Algorithms for oblivious random access machine (ORAM) simulation allow a client, Alice, to obfuscate a pattern of data accesses with a server, Bob, who is maintaining Alice's outsourced data while trying to learn information about her data.…

Cryptography and Security · Computer Science 2017-09-20 Michael T. Goodrich

We study oblivious storage (OS), a natural way to model privacy-preserving data outsourcing where a client, Alice, stores sensitive data at an honest-but-curious server, Bob. We show that Alice can hide both the content of her data and the…

Cryptography and Security · Computer Science 2011-10-11 Michael T. Goodrich , Michael Mitzenmacher , Olga Ohrimenko , Roberto Tamassia

We present a deterministic sorting algorithm, SPMS (Sample, Partition, and Merge Sort), that interleaves the partitioning of a sample sort with merging. Sequentially, it sorts $n$ elements in $O(n \log n)$ time cache-obliviously with an…

Data Structures and Algorithms · Computer Science 2017-11-03 Richard Cole , Vijaya Ramachandran

We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

We present two cache-oblivious sorting-based convex hull algorithms in the Binary Forking Model. The first is an algorithm for a presorted set of points which achieves $O(n)$ work, $O(\log n)$ span, and $O(n/B)$ serial cache complexity,…

Data Structures and Algorithms · Computer Science 2023-07-18 Reilly Browne , Rezaul Chowdhury , Shih-Yu Tsai , Yimin Zhu

In a recent paper Chan et al. [SODA '19] proposed a relaxation of the notion of (full) memory obliviousness, which was introduced by Goldreich and Ostrovsky [J. ACM '96] and extensively researched by cryptographers. The new notion,…

Cryptography and Security · Computer Science 2019-10-04 Amos Beimel , Kobbi Nissim , Mohammad Zaheri

In cloud databases, cloud computation over sensitive data uploaded by clients inevitably causes concern about data security and privacy. Even when encryption primitives and trusted computing environments are integrated into query processing…

Databases · Computer Science 2025-01-10 Xiao Hu , Zhiang Wu

Sorting extremely large datasets is a frequently occuring task in practice. These datasets are usually much larger than the computer's main memory; thus external memory sorting algorithms, first introduced by Aggarwal and Vitter (1988), are…

Data Structures and Algorithms · Computer Science 2018-11-06 Alireza Farhadi , MohammadTaghi Hajiaghayi , Kasper Green Larsen , Elaine Shi

We propose a conceptually simple oblivious sort and oblivious random permutation algorithms called bucket oblivious sort and bucket oblivious random permutation. Bucket oblivious sort uses $6n\log n$ time (measured by the number of memory…

Data Structures and Algorithms · Computer Science 2021-04-30 Gilad Asharov , T-H. Hubert Chan , Kartik Nayak , Rafael Pass , Ling Ren , Elaine Shi

Oblivious RAM (ORAM) is a well-researched primitive to hide the memory access pattern of a RAM computation; it has a variety of applications in trusted computing, outsourced storage, and multiparty computation. In this paper, we study the…

Data Structures and Algorithms · Computer Science 2024-12-16 Thore Thießen , Jan Vahrenhold

We consider Oblivious Shuffling and K-Oblivious Shuffling, a refinement thereof. We provide efficient algorithms for both and discuss their application to the design of Oblivious RAM. The task of K-Oblivious Shuffling is to obliviously…

Cryptography and Security · Computer Science 2017-10-19 Sarvar Patel , Giuseppe Persiano , Kevin Yeo

Oblivious routing is an attractive paradigm for large distributed systems in which centralized control and frequent reconfigurations are infeasible or undesired (e.g., costly). Over the last almost 20 years, much progress has been made in…

Networking and Internet Architecture · Computer Science 2018-12-27 Harald Räcke , Stefan Schmid

A major algorithmic challenge in designing applications intended for secure remote execution is ensuring that they are oblivious to their inputs, in the sense that their memory access patterns do not leak sensitive information to the…

Databases · Computer Science 2020-12-16 Simeon Krastnikov , Florian Kerschbaum , Douglas Stebila

We study the median slope selection problem in the oblivious RAM model. In this model memory accesses have to be independent of the data processed, i.e., an adversary cannot use observed access patterns to derive additional information…

Computational Geometry · Computer Science 2023-02-27 Thore Thießen , Jan Vahrenhold

Oblivious RAM simulation is a method for achieving confidentiality and privacy in cloud computing environments. It involves obscuring the access patterns to a remote storage so that the manager of that storage cannot infer information about…

Cryptography and Security · Computer Science 2015-03-19 Michael T. Goodrich , Michael Mitzenmacher , Olga Ohrimenko , Roberto Tamassia
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