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We introduce a data structure that allows for efficient (probabilistic) presence proofs and non-probabilistic absence proofs in a bandwidth efficient and secure way. The Bloom tree combines the idea of Bloom filters with that of Merkle…

Data Structures and Algorithms · Computer Science 2020-02-20 Lum Ramabaja , Arber Avdullahu

Zero-knowledge proofs have emerged as a powerful tool for enhancing privacy and security in blockchain applications. However, the efficiency and scalability of proof systems remain a significant challenge, particularly in the context of…

Cryptography and Security · Computer Science 2024-07-08 Oleksandr Kuznetsov , Alex Rusnak , Anton Yezhov , Dzianis Kanonik , Kateryna Kuznetsova , Oleksandr Domin

Merkle trees have become a widely successful cryptographic data structure. Enabling a vast variety of applications from checking for inconsistencies in databases like Dynamo to essential tools like Git to large scale distributed systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-30 Anoushk Kharangate

We propose and define a recursive Merkle structure with q-mercurial commitments, in order to create a concise B-Merkle tree. This Merkle B-Tree builds on previous work of q-ary Merkle trees which use concise, constant size, q-mercurial…

Cryptography and Security · Computer Science 2020-06-17 Chase Smith , Alex Rusnak

To achieve lightweight selective disclosure for protecting privacy of document holders, we propose an XML format for documents that can hide arbitrary elements using a cryptographic hash function and salts, which allows to be partially…

Cryptography and Security · Computer Science 2021-10-12 Kenji Saito , Satoki Watanabe

This paper introduces the Cartesian Merkle Tree, a deterministic data structure that combines the properties of a Binary Search Tree, a Heap, and a Merkle tree. The Cartesian Merkle Tree supports insertions, updates, and removals of…

Cryptography and Security · Computer Science 2025-04-16 Artem Chystiakov , Oleh Komendant , Kyrylo Riabov

A Batch Private Information Retrieval (batch-PIR) scheme allows a client to retrieve multiple data items from a database without revealing them to the storage server(s). Most existing approaches for batch-PIR are based on batch codes, in…

Data Structures and Algorithms · Computer Science 2024-06-05 Son Hoang Dau , Quang Cao , Rinaldo Gagiano , Duy Huynh , Xun Yi , Phuc Lu Le , Quang-Hung Luu , Emanuele Viterbo , Yu-Chih Huang , Jingge Zhu , Mohammad M. Jalalzai , Chen Feng

We introduce a low-memory framework for certifying numerical solutions to polynomial systems which uses solution iterators and spatial partitioning trees to reduce memory requirements. We provide a prototypical algorithm, analyze its…

Numerical Analysis · Mathematics 2026-04-21 Paul Breiding , Taylor Brysiewicz , David K. Johnson

Browsers can detect malicious websites that are provisioned with forged or fake TLS/SSL certificates. However, they are not so good at detecting malicious websites if they are provisioned with mistakenly issued certificates or certificates…

Cryptography and Security · Computer Science 2017-07-21 Abhishek Singh , Binanda Sengupta , Sushmita Ruj

Committing to information is a central task in cryptography, where a party (typically called a prover) stores a piece of information (e.g., a bit string) with the promise of not changing it. This information can be accessed by another party…

Quantum Physics · Physics 2024-06-19 Lijie Chen , Ramis Movassagh

A sparse Merkle tree is a Merkle tree with fixed height and indexed leaves given by a map from indices to leaf values. It allows for both efficient membership and non-membership proofs. It has been widely used as an authenticated data…

Data Structures and Algorithms · Computer Science 2023-10-23 Boqian Ma , Vir Nath Pathak , Lanping Liu , Sushmita Ruj

There now exist compact indexes that can efficiently list all the occurrences of a pattern in a dataset consisting of thousands of genomes, or even all the occurrences of all the pattern's maximal exact matches (MEMs) with respect to the…

Data Structures and Algorithms · Computer Science 2022-09-20 Adrián Goga , Andrej Baláž , Alessia Petescia , Travis Gagie

We describe a consistent hashing algorithm which performs multiple lookups per key in a hash table of nodes. It requires no additional storage beyond the hash table, and achieves a peak-to-average load ratio of 1 + epsilon with just 1 +…

Data Structures and Algorithms · Computer Science 2015-05-04 Ben Appleton , Michael O'Reilly

Merkle hash trees are the standard method to protect the integrity and freshness of stored data. However, hash trees introduce additional compute and I/O costs on the I/O critical path, and prior efforts have not fully characterized these…

Cryptography and Security · Computer Science 2025-01-30 Quinn Burke , Ryan Sheatsley , Rachel King , Owen Hines , Michael Swift , Patrick McDaniel

We introduce K-tree in an information retrieval context. It is an efficient approximation of the k-means clustering algorithm. Unlike k-means it forms a hierarchy of clusters. It has been extended to address issues with sparse…

Information Retrieval · Computer Science 2010-01-07 Christopher M. De Vries , Shlomo Geva

Speech provenance goes beyond detecting whether a watermark is present. Real workflows involve splicing, quoting, trimming, and platform-level transforms that may preserve some regions while altering others. Neural watermarking systems have…

Cryptography and Security · Computer Science 2026-02-12 Tatsunori Ono

Sparse storage formats are techniques for storing and processing the sparse matrix data efficiently. The performance of these storage formats depend upon the distribution of non-zeros, within the matrix in different dimensions. In order to…

Mathematical Software · Computer Science 2012-02-28 Muhammad Taimoor Khan , Anila Usman

This short paper describes a simple coding technique, Sparse Sequential Dirichlet Coding, for multi-alphabet memoryless sources. It is appropriate in situations where only a small, unknown subset of the possible alphabet symbols can be…

Information Theory · Computer Science 2012-06-19 Joel Veness , Marcus Hutter

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…

Cryptography and Security · Computer Science 2014-09-16 Markus Knecht , Willi Meier , Carlo U. Nicola

To preserve data privacy, multi-party computation (MPC) enables executing Machine Learning (ML) algorithms on private data. However, MPC frameworks do not include optimized operations on sparse data. This absence makes them unsuitable for…

Cryptography and Security · Computer Science 2026-03-04 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon
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