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This paper focuses on parallel hash functions based on tree modes of operation for an inner Variable-Input-Length function. This inner function can be either a single-block-length (SBL) and prefix-free MD hash function, or a sponge-based…

分布式、并行与集群计算 · 计算机科学 2017-06-13 Kevin Atighehchi , Robert Rolland

A recent work shows how we can optimize a tree based mode of operation for a rate 1 hash function. In particular, an algorithm and a theorem are presented for selecting a good tree topology in order to optimize both the running time and the…

分布式、并行与集群计算 · 计算机科学 2016-04-15 Kevin Atighehchi

We present a simple and powerful algorithm for parallel black box optimization called Successive Halving and Classification (SHAC). The algorithm operates in $K$ stages of parallel function evaluations and trains a cascade of binary…

计算机视觉与模式识别 · 计算机科学 2018-05-30 Manoj Kumar , George E. Dahl , Vijay Vasudevan , Mohammad Norouzi

Hash functions like SHA-1 or MD5 are one of the most important cryptographic primitives, especially in the field of information integrity. Considering the fact that increasing methods have been proposed to break these hash algorithms, a…

分布式、并行与集群计算 · 计算机科学 2019-02-15 Canhui Wang , Xiaowen Chu

This paper investigates the execution of tree-shaped task graphs using multiple processors. Each edge of such a tree represents some large data. A task can only be executed if all input and output data fit into memory, and a data can only…

分布式、并行与集群计算 · 计算机科学 2014-10-02 Lionel Eyraud-Dubois , Loris Marchal , Oliver Sinnen , Frédéric Vivien

The $k$d-tree is one of the most widely used data structures to manage multi-dimensional data. Due to the ever-growing data volume, it is imperative to consider parallelism in $k$d-trees. However, we observed challenges in existing parallel…

数据结构与算法 · 计算机科学 2025-01-08 Ziyang Men , Zheqi Shen , Yan Gu , Yihan Sun

Hash functions have become a key part of standard Post-quantum cryptography (PQC) schemes, especially Sha-3 and Shake, calling arXiv:submit/7045552 [cs.AR] 3 Dec 2025 for lightweight implementation. A fault-resilient design is always…

Dynamic techniques are a scalable and effective way to analyze concurrent programs. Instead of analyzing all behaviors of a program, these techniques detect errors by focusing on a single program execution. Often a crucial step in these…

计算机科学中的逻辑 · 计算机科学 2025-09-16 Umang Mathur , Andreas Pavlogiannis , Hünkar Can Tunç , Mahesh Viswanathan

Tree kernels are fundamental tools that have been leveraged in many applications, particularly those based on machine learning for Natural Language Processing tasks. In this paper, we devise a parallel implementation of the sequential…

计算与语言 · 计算机科学 2023-05-16 Souad Taouti , Hadda Cherroun , Djelloul Ziadi

Using (a,b)-trees as an example, we show how to perform a parallel split with logarithmic latency and parallel join, bulk updates, intersection, union (or merge), and (symmetric) set difference with logarithmic latency and with information…

数据结构与算法 · 计算机科学 2016-05-12 Yaroslav Akhremtsev , Peter Sanders

Quantum software frameworks provide software engineers with the tools to study quantum algorithms as applied to practical problems. We implement classical hash functions MD5, SHA-1, SHA-2, and SHA-3 as quantum oracles to study the…

量子物理 · 物理学 2023-02-06 Richard Preston

Existing parallel algorithms for wavelet tree construction have a work complexity of $O(n\log\sigma)$. This paper presents parallel algorithms for the problem with improved work complexity. Our first algorithm is based on parallel integer…

分布式、并行与集群计算 · 计算机科学 2020-01-17 Julian Shun

Sponge hashing is a widely used class of cryptographic hash algorithms which underlies the current international hash function standard SHA-3. In a nutshell, a sponge function takes as input a bit-stream of any length and processes it via a…

量子物理 · 物理学 2025-01-17 Joseph Carolan , Alexander Poremba

Sorting is one of the most basic algorithms, and developing highly parallel sorting programs is becoming increasingly important in high-performance computing because the number of CPU cores per node in modern supercomputers tends to…

分布式、并行与集群计算 · 计算机科学 2023-09-08 Tomoyuki Tokuue , Tomoaki Ishiyama

A recent work shows how we can optimize a tree based mode of operation for a hash function where the sizes of input message blocks and digest are the same, subject to the constraint that the involved tree structure has all its leaves at the…

分布式、并行与集群计算 · 计算机科学 2017-06-28 Kevin Atighehchi

Gravitational $N$-body simulations calculate numerous interactions between particles. The tree algorithm reduces these calculations by constructing a hierarchical oct-tree structure and approximating gravitational forces on particles. Over…

天体物理仪器与方法 · 物理学 2024-01-09 Tomoyuki Tokuue , Tomoaki Ishiyama

Dynamic tree data structures maintain a forest while supporting insertion and deletion of edges and a broad set of queries in $O(\log n)$ time per operation. Such data structures are at the core of many modern algorithms. Recent work has…

数据结构与算法 · 计算机科学 2025-06-23 Humza Ikram , Andrew Brady , Daniel Anderson , Guy Blelloch

Given a graph where every vertex has exactly one labeled token, how can we most quickly execute a given permutation on the tokens? In (sequential) token swapping, the goal is to use the shortest possible sequence of swaps, each of which…

We present an algorithm for the Merkle tree traversal problem which combines the efficient space-time trade-off from the fractal Merkle tree [3] and the space efficiency from the improved log space-time Merkle trees traversal [8]. We give…

密码学与安全 · 计算机科学 2014-09-16 Markus Knecht , Willi Meier , Carlo U. Nicola

We describe a new implementation of a parallel Tree-SPH code with the aim to simulate Galaxy Formation and Evolution. The code has been parallelized using SHMEM, a Cray proprietary library to handle communications between the 256 processors…

天体物理学 · 物理学 2009-10-31 Cesario Lia , Giovanni Carraro
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