Randomized Shellsort: A Simple Oblivious Sorting Algorithm Export

@article{citeulike:5757972, abstract = {In this paper, we describe randomized Shellsort--a simple, randomized, data-oblivious version of the Shellsort algorithm that always runs in O(n log n) time and, as we show, succeeds in sorting any given input permutation with very high probability. Thus, randomized Shellsort is simultaneously simple, time-optimal, and data-oblivious. Taken together, these properties imply applications in the design of new efficient privacy-preserving computations based on the secure multi-party computation (SMC) paradigm. In addition, by a trivial conversion of this Monte Carlo algorithm to its Las Vegas equivalent, one gets the first version of Shellsort with a running time that is provably O(n log n) with very high probability.}, archivePrefix = {arXiv}, author = {Goodrich, Michael T.}, citeulike-article-id = {5757972}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.1037}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.1037}, day = {8}, eprint = {0909.1037}, keywords = {algorithm, random, sorting}, month = {Sep}, posted-at = {2009-09-09 12:16:56}, priority = {2}, title = {Randomized Shellsort: A Simple Oblivious Sorting Algorithm}, url = {http://arxiv.org/abs/0909.1037}, year = {2009} }

TY - JOUR ID - citeulike:5757972 L3 - citeulike-article-id:5757972 N2 - In this paper, we describe randomized Shellsort--a simple, randomized, data-oblivious version of the Shellsort algorithm that always runs in O(n log n) time and, as we show, succeeds in sorting any given input permutation with very high probability. Thus, randomized Shellsort is simultaneously simple, time-optimal, and data-oblivious. Taken together, these properties imply applications in the design of new efficient privacy-preserving computations based on the secure multi-party computation (SMC) paradigm. In addition, by a trivial conversion of this Monte Carlo algorithm to its Las Vegas equivalent, one gets the first version of Shellsort with a running time that is provably O(n log n) with very high probability. TI - Randomized Shellsort: A Simple Oblivious Sorting Algorithm KW - algorithm KW - random KW - sorting AU - Goodrich, Michael PY - 2009/Sep/08/ UR - http://arxiv.org/abs/0909.1037 ER -