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A Merkle tree is an information construction that is used in Blockchain to verify data or transactions in a large content pool in a safe manner. The role of the Merkle tree is crucial in Bitcoin and other cryptocurrencies in a Blockchain…

Cryptography and Security · Computer Science 2022-09-28 M. Gracy , B. Rebecca Jeyavadhanam

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

Blockchain systems face significant scalability challenges due to growing data volumes and increasing transaction demands, necessitating more efficient data structures and verification mechanisms. Verkle trees, a novel data structure…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Zhikai Li , Xuekai Liu , Boyuan Xu , Eric Chen , Bhaskar Krishnamachari

Blockchain technology has emerged as a revolutionary tool in ensuring data integrity and security in digital transactions. However, the current approaches to data verification in blockchain systems, particularly in Ethereum, face challenges…

Cryptography and Security · Computer Science 2024-04-11 Oleksandr Kuznetsov , Alex Rusnak , Anton Yezhov , Dzianis Kanonik , Kateryna Kuznetsova , Stanislav Karashchuk

In the rapidly evolving landscape of blockchain technology, ensuring the integrity and security of data is paramount. This study delves into the security aspects of Merkle Trees, a fundamental component in blockchain architectures, such as…

Cryptography and Security · Computer Science 2024-04-24 Oleksandr Kuznetsov , Alex Rusnak , Anton Yezhov , Kateryna Kuznetsova , Dzianis Kanonik , Oleksandr Domin

Addressing the critical challenge of ensuring data integrity in decentralized systems, this paper delves into the underexplored area of data falsification probabilities within Merkle Trees, which are pivotal in blockchain and Internet of…

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

In this paper, we propose coded Merkle tree (CMT), a novel hash accumulator that offers a constant-cost protection against data availability attacks in blockchains, even if the majority of the network nodes are malicious. A CMT is…

Cryptography and Security · Computer Science 2019-12-23 Mingchao Yu , Saeid Sahraei , Songze Li , Salman Avestimehr , Sreeram Kannan , Pramod Viswanath

Light nodes in blockchain systems are known to be vulnerable to data availability (DA) attacks where they accept an invalid block with unavailable portions. Previous works have used LDPC and 2-D Reed Solomon (2D-RS) codes with Merkle Trees…

Information Theory · Computer Science 2022-05-18 Debarnab Mitra , Lev Tauz , Lara Dolecek

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

The scalability of blockchain technology remains a pivotal challenge, impeding its widespread adoption across various sectors. This study introduces an innovative approach to address this challenge by proposing the adaptive restructuring of…

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

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

Merkle tree is a widely used tree structure for authentication of data/metadata in a secure computing system. Recent state-of-the art secure systems use a smaller-sized MT, namely Bonsai Merkle Tree (BMT) to protect the metadata such as…

Cryptography and Security · Computer Science 2023-09-19 Rakin Muhammad Shadab , Yu Zou , Sanjay Gandham , Amro Awad , Mingjie Lin

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

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

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

Although wide-scale integration of cloud services with myriad applications increases quality of services (QoS) for enterprise users, verifying the existence and manipulation of stored cloud information remains an open research problem.…

Cryptography and Security · Computer Science 2024-12-10 Faisal Haque Bappy , Saklain Zaman , Tariqul Islam , Redwan Ahmed Rizvee , Joon S. Park , Kamrul Hasan

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

Public blockchains like Ethereum use Merkle trees to verify transactions received from untrusted servers before applying them to the blockchain. We empirically show that the low throughput of such blockchains is due to the I/O bottleneck…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-19 Soujanya Ponnapalli , Aashaka Shah , Amy Tai , Souvik Banerjee , Vijay Chidambaram , Dahlia Malkhi , Michael Wei
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