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Related papers: FIPS 204-Compatible Threshold ML-DSA via Shamir No…

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Deploying ML-DSA (FIPS 204) in threshold settings has remained an open problem: the scheme's inherently non-linear rounding step defeats the additive share techniques that underpin practical threshold schemes for elliptic-curve signatures…

Cryptography and Security · Computer Science 2026-03-25 Leo Kao

We consider a private distributed multiplication problem involving N computation nodes and T colluding nodes. Shamir's secret sharing algorithm provides perfect information-theoretic privacy, while requiring an honest majority, i.e., N \ge…

Information Theory · Computer Science 2025-12-10 Haoyang Hu , Viveck R. Cadambe

This article presents DDP-SA, a scalable privacy-preserving federated learning framework that jointly leverages client-side local differential privacy (LDP) and full-threshold additive secret sharing (ASS) for secure aggregation. Unlike…

Cryptography and Security · Computer Science 2026-04-09 Wenjing Wei , Farid Nait-Abdesselam , Alla Jammine

The Digital Signature Algorithm (DSA) has become the de facto standard for authentication of transacting entities since its inception as a standard by NIST. An integral part of the signing process in DSA is the generation of a random number…

Cryptography and Security · Computer Science 2015-08-27 Akash Nag , Sunil Karforma

We present a mechanism to manifest unobtainable secrets using a nested Shamir secret sharing scheme to create public/private key pairs for elliptic curves. A threshold secret sharing scheme can be used as a decentralised trust mechanism…

Cryptography and Security · Computer Science 2023-09-06 J. L. Hall , Y. Hertzog , M. Loewy , M. P. Skerritt , D. Valladolid , G. Verma

For a secret sharing scheme, two parameters $d_{min}$ and $d_{cheat}$ are defined in [12] and [13]. These two parameters measure the error-correcting capability and the secret-recovering capability of the secret sharing scheme against…

Cryptography and Security · Computer Science 2007-05-23 Hao Chen

Differential privacy (DP) has emerged as the gold standard for protecting user data in recommender systems, but existing privacy-preserving mechanisms face a fundamental challenge: the privacy-utility tradeoff inevitably degrades…

Machine Learning · Computer Science 2025-12-23 Sarwan Ali

We consider multi-agent systems interacting over directed network topologies where a subset of agents is adversary/faulty and where the non-faulty agents have the goal of reaching consensus, while fulfilling a differential privacy…

Systems and Control · Computer Science 2020-03-18 Davide Fiore , Giovanni Russo

We consider the problem of private distributed multi-party multiplication. It is well-established that Shamir secret-sharing coding strategies can enable perfect information-theoretic privacy in distributed computation via the celebrated…

Information Theory · Computer Science 2025-01-20 Viveck R. Cadambe , Ateet Devulapalli , Haewon Jeong , Flavio P. Calmon

This paper considers the problem of outsourcing the multiplication of two private and sparse matrices to untrusted workers. Secret sharing schemes can be used to tolerate stragglers and guarantee information-theoretic privacy of the…

Information Theory · Computer Science 2023-06-28 Maximilian Egger , Marvin Xhemrishi , Antonia Wachter-Zeh , Rawad Bitar

Most existing secure neural network inference protocols based on secure multi-party computation (MPC) typically support at most four participants, demonstrating severely limited scalability. Liu et al. (USENIX Security'24) presented the…

Cryptography and Security · Computer Science 2026-04-23 Qinghui Zhang , Xiaojun Chen , Yansong Zhang , Xudong Chen

Secret sharing is an instrumental tool for sharing secret keys in distributed systems. In a classical threshold setting, this involves a dealer who has a secret/key, a set of parties/users to which shares of the secret are sent, and a…

Information Theory · Computer Science 2024-05-09 Utkarsh Gupta , Hessam Mahdavifar

This work introduces the \emph{Secure and Private Structured-Subset Retrieval (SPSSR)} problem. In SPSSR, a user wishes to retrieve one subset from an arbitrary family of size-$D$ subsets from $K$ messages replicated across $N$…

Information Theory · Computer Science 2026-05-13 Maha Issa , Anoosheh Heidarzadeh

Privacy-preserving machine learning (PPML) enables clients to collaboratively train deep learning models without sharing private datasets, but faces privacy leakage risks due to gradient leakage attacks. Prevailing methods leverage secure…

Cryptography and Security · Computer Science 2025-03-05 Qingqing Ren , Wen Wang , Shuyong Zhu , Zhiyuan Wu , Yujun Zhang

Synthetic text generation with Differential Privacy (DP) guarantees emerges as a principled approach that can enable the sharing of sensitive datasets across institutional and regulatory boundaries, while bounding the risks of…

A ($t$, $n$) threshold quantum secret sharing (QSS) is proposed based on a single $d$-level quantum system. It enables the ($t$, $n$) threshold structure based on Shamir's secret sharing and simply requires sequential communication in…

Quantum Physics · Physics 2018-10-10 Changbin Lu , Fuyou Miao , Junpeng Hou , Keju Meng

The security of the Elliptic Curve Digital Signature Algorithm (ECDSA) depends on the uniqueness and secrecy of the nonce, which is used in each signature. While it is well understood that nonce $k$ reuse across two distinct messages can…

Cryptography and Security · Computer Science 2025-04-21 Jamie Gilchrist , William J. Buchanan , Keir Finlow-Bates

As privacy-preserving becomes a pivotal aspect of deep learning (DL) development, multi-party computation (MPC) has gained prominence for its efficiency and strong security. However, the practice of current MPC frameworks is limited,…

Cryptography and Security · Computer Science 2024-06-06 Shijin Duan , Chenghong Wang , Hongwu Peng , Yukui Luo , Wujie Wen , Caiwen Ding , Xiaolin Xu

To defend the inference attacks and mitigate the sensitive information leakages in Federated Learning (FL), client-level Differentially Private FL (DPFL) is the de-facto standard for privacy protection by clipping local updates and adding…

Machine Learning · Computer Science 2023-05-03 Yifan Shi , Kang Wei , Li Shen , Yingqi Liu , Xueqian Wang , Bo Yuan , Dacheng Tao

Decentralized min-max optimization allows multi-agent systems to collaboratively solve global min-max optimization problems by facilitating the exchange of model updates among neighboring agents, eliminating the need for a central server.…

Machine Learning · Computer Science 2025-08-12 Yueyang Quan , Chang Wang , Shengjie Zhai , Minghong Fang , Zhuqing Liu
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